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id="toc-Rellación_con_otres_distribuciones-sublist" class="vector-toc-list"> <li id="toc-Sumes_de_variables_aleatories_de_Poisson" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Sumes_de_variables_aleatories_de_Poisson"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Sumes de variables aleatories de Poisson</span> </div> </a> <ul id="toc-Sumes_de_variables_aleatories_de_Poisson-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Distribución_binomial" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Distribución_binomial"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>Distribución binomial</span> </div> </a> <ul id="toc-Distribución_binomial-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Aproximamientu_normal" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Aproximamientu_normal"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.3</span> <span>Aproximamientu normal</span> </div> </a> <ul id="toc-Aproximamientu_normal-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Distribución_esponencial" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Distribución_esponencial"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.4</span> <span>Distribución esponencial</span> </div> </a> <ul id="toc-Distribución_esponencial-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Exemplu" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Exemplu"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Exemplu</span> </div> </a> <ul id="toc-Exemplu-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Procesos_de_Poisson" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Procesos_de_Poisson"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Procesos de Poisson</span> </div> </a> <ul id="toc-Procesos_de_Poisson-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ver_tamién" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Ver_tamién"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Ver tamién</span> </div> </a> <ul id="toc-Ver_tamién-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Referencies" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Referencies"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Referencies</span> </div> </a> <ul id="toc-Referencies-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Enllaces_esternos" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Enllaces_esternos"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Enllaces esternos</span> </div> </a> <ul id="toc-Enllaces_esternos-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Conteníu" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Cambiar a la tabla de contenidos" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Cambiar a la tabla de contenidos</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Distribución de Poisson</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Ir a un artículo en otro idioma. Disponible en 51 idiomas" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-51" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">51 llingües</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AA%D9%88%D8%B2%D9%8A%D8%B9_%D8%A8%D9%88%D8%A7%D8%B3%D9%88%D9%86" title="توزيع بواسون – árabe" lang="ar" hreflang="ar" data-title="توزيع بواسون" data-language-autonym="العربية" data-language-local-name="árabe" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D9%BE%D9%88%D8%A7%D8%B3%D9%88%D9%86_%D8%AF%D8%A7%D8%BA%DB%8C%D9%84%DB%8C%D9%85%DB%8C" title="پواسون داغیلیمی – South Azerbaijani" lang="azb" hreflang="azb" data-title="پواسون داغیلیمی" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A0%D0%B0%D0%B7%D0%BC%D0%B5%D1%80%D0%BA%D0%B0%D0%B2%D0%B0%D0%BD%D0%BD%D0%B5_%D0%9F%D1%83%D0%B0%D1%81%D0%BE%D0%BD%D0%B0" title="Размеркаванне Пуасона – bielorrusu" lang="be" hreflang="be" data-title="Размеркаванне Пуасона" data-language-autonym="Беларуская" data-language-local-name="bielorrusu" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A0%D0%B0%D0%B7%D0%BF%D1%80%D0%B5%D0%B4%D0%B5%D0%BB%D0%B5%D0%BD%D0%B8%D0%B5_%D0%BD%D0%B0_%D0%9F%D0%BE%D0%B0%D1%81%D0%BE%D0%BD" title="Разпределение на Поасон – búlgaru" lang="bg" hreflang="bg" data-title="Разпределение на Поасон" data-language-autonym="Български" data-language-local-name="búlgaru" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AA%E0%A6%AF%E0%A6%BC%E0%A6%B8%E0%A7%8B%E0%A6%81_%E0%A6%AC%E0%A6%BF%E0%A6%A8%E0%A7%8D%E0%A6%AF%E0%A6%BE%E0%A6%B8" title="পয়সোঁ বিন্যাস – bengalín" lang="bn" hreflang="bn" data-title="পয়সোঁ বিন্যাস" data-language-autonym="বাংলা" data-language-local-name="bengalín" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Distribuci%C3%B3_de_Poisson" title="Distribució de Poisson – catalán" lang="ca" hreflang="ca" data-title="Distribució de Poisson" data-language-autonym="Català" data-language-local-name="catalán" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Poissonovo_rozd%C4%9Blen%C3%AD" title="Poissonovo rozdělení – checu" lang="cs" hreflang="cs" data-title="Poissonovo rozdělení" data-language-autonym="Čeština" data-language-local-name="checu" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Poissonfordeling" title="Poissonfordeling – danés" lang="da" hreflang="da" data-title="Poissonfordeling" data-language-autonym="Dansk" data-language-local-name="danés" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Poisson-Verteilung" title="Poisson-Verteilung – alemán" lang="de" hreflang="de" data-title="Poisson-Verteilung" data-language-autonym="Deutsch" data-language-local-name="alemán" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9A%CE%B1%CF%84%CE%B1%CE%BD%CE%BF%CE%BC%CE%AE_%CE%A0%CE%BF%CF%85%CE%B1%CF%83%CF%83%CF%8C%CE%BD" title="Κατανομή Πουασσόν – griegu" lang="el" hreflang="el" data-title="Κατανομή Πουασσόν" data-language-autonym="Ελληνικά" data-language-local-name="griegu" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Poisson_distribution" title="Poisson distribution – inglés" lang="en" hreflang="en" data-title="Poisson distribution" data-language-autonym="English" data-language-local-name="inglés" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Distribuci%C3%B3n_de_Poisson" title="Distribución de Poisson – español" lang="es" hreflang="es" data-title="Distribución de Poisson" data-language-autonym="Español" data-language-local-name="español" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Poissoni_jaotus" title="Poissoni jaotus – estoniu" lang="et" hreflang="et" data-title="Poissoni jaotus" data-language-autonym="Eesti" data-language-local-name="estoniu" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Poissonen_banaketa" title="Poissonen banaketa – vascu" lang="eu" hreflang="eu" data-title="Poissonen banaketa" data-language-autonym="Euskara" data-language-local-name="vascu" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AA%D9%88%D8%B2%DB%8C%D8%B9_%D9%BE%D9%88%D8%A7%D8%B3%D9%88%D9%86" title="توزیع پواسون – persa" lang="fa" hreflang="fa" data-title="توزیع پواسون" data-language-autonym="فارسی" data-language-local-name="persa" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Poissonin_jakauma" title="Poissonin jakauma – finlandés" lang="fi" hreflang="fi" data-title="Poissonin jakauma" data-language-autonym="Suomi" data-language-local-name="finlandés" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Loi_de_Poisson" title="Loi de Poisson – francés" lang="fr" hreflang="fr" data-title="Loi de Poisson" data-language-autonym="Français" data-language-local-name="francés" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Distribuci%C3%B3n_de_Poisson" title="Distribución de Poisson – gallegu" lang="gl" hreflang="gl" data-title="Distribución de Poisson" data-language-autonym="Galego" data-language-local-name="gallegu" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%94%D7%AA%D7%A4%D7%9C%D7%92%D7%95%D7%AA_%D7%A4%D7%95%D7%90%D7%A1%D7%95%D7%9F" title="התפלגות פואסון – hebréu" lang="he" hreflang="he" data-title="התפלגות פואסון" data-language-autonym="עברית" data-language-local-name="hebréu" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Poisson-eloszl%C3%A1s" title="Poisson-eloszlás – húngaru" lang="hu" hreflang="hu" data-title="Poisson-eloszlás" data-language-autonym="Magyar" data-language-local-name="húngaru" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%8A%D5%B8%D6%82%D5%A1%D5%BD%D5%B8%D5%B6%D5%AB_%D5%A2%D5%A1%D5%B7%D5%AD%D5%B8%D6%82%D5%B4" title="Պուասոնի բաշխում – armeniu" lang="hy" hreflang="hy" data-title="Պուասոնի բաշխում" data-language-autonym="Հայերեն" data-language-local-name="armeniu" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Distribusi_Poisson" title="Distribusi Poisson – indonesiu" lang="id" hreflang="id" data-title="Distribusi Poisson" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiu" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Poisson-dreifing" title="Poisson-dreifing – islandés" lang="is" hreflang="is" data-title="Poisson-dreifing" data-language-autonym="Íslenska" data-language-local-name="islandés" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Distribuzione_di_Poisson" title="Distribuzione di Poisson – italianu" lang="it" hreflang="it" data-title="Distribuzione di Poisson" data-language-autonym="Italiano" data-language-local-name="italianu" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%9D%E3%82%A2%E3%82%BD%E3%83%B3%E5%88%86%E5%B8%83" title="ポアソン分布 – xaponés" lang="ja" hreflang="ja" data-title="ポアソン分布" data-language-autonym="日本語" data-language-local-name="xaponés" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%9E%E1%83%A3%E1%83%90%E1%83%A1%E1%83%9D%E1%83%9C%E1%83%98%E1%83%A1_%E1%83%92%E1%83%90%E1%83%9C%E1%83%90%E1%83%AC%E1%83%98%E1%83%9A%E1%83%94%E1%83%91%E1%83%90" title="პუასონის განაწილება – xeorxanu" lang="ka" hreflang="ka" data-title="პუასონის განაწილება" data-language-autonym="ქართული" data-language-local-name="xeorxanu" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%91%B8%EC%95%84%EC%86%A1_%EB%B6%84%ED%8F%AC" title="푸아송 분포 – coreanu" lang="ko" hreflang="ko" data-title="푸아송 분포" data-language-autonym="한국어" data-language-local-name="coreanu" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Puasono_skirstinys" title="Puasono skirstinys – lituanu" lang="lt" hreflang="lt" data-title="Puasono skirstinys" data-language-autonym="Lietuvių" data-language-local-name="lituanu" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Puasona_sadal%C4%ABjums" title="Puasona sadalījums – letón" lang="lv" hreflang="lv" data-title="Puasona sadalījums" data-language-autonym="Latviešu" data-language-local-name="letón" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9F%D0%BE%D0%B0%D1%81%D0%BE%D0%BD%D0%BE%D0%B2%D0%B0_%D1%80%D0%B0%D1%81%D0%BF%D1%80%D0%B5%D0%B4%D0%B5%D0%BB%D0%B1%D0%B0" title="Поасонова распределба – macedoniu" lang="mk" hreflang="mk" data-title="Поасонова распределба" data-language-autonym="Македонски" data-language-local-name="macedoniu" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Taburan_Poisson" title="Taburan Poisson – malayu" lang="ms" hreflang="ms" data-title="Taburan Poisson" data-language-autonym="Bahasa Melayu" data-language-local-name="malayu" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Poissonverdeling" title="Poissonverdeling – neerlandés" lang="nl" hreflang="nl" data-title="Poissonverdeling" data-language-autonym="Nederlands" data-language-local-name="neerlandés" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Poisson-fordeling" title="Poisson-fordeling – noruegu Bokmål" lang="nb" hreflang="nb" data-title="Poisson-fordeling" data-language-autonym="Norsk bokmål" data-language-local-name="noruegu Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Rozk%C5%82ad_Poissona" title="Rozkład Poissona – polacu" lang="pl" hreflang="pl" data-title="Rozkład Poissona" data-language-autonym="Polski" data-language-local-name="polacu" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Distribui%C3%A7%C3%A3o_de_Poisson" title="Distribuição de Poisson – portugués" lang="pt" hreflang="pt" data-title="Distribuição de Poisson" data-language-autonym="Português" data-language-local-name="portugués" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A0%D0%B0%D1%81%D0%BF%D1%80%D0%B5%D0%B4%D0%B5%D0%BB%D0%B5%D0%BD%D0%B8%D0%B5_%D0%9F%D1%83%D0%B0%D1%81%D1%81%D0%BE%D0%BD%D0%B0" title="Распределение Пуассона – rusu" lang="ru" hreflang="ru" data-title="Распределение Пуассона" data-language-autonym="Русский" data-language-local-name="rusu" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Poisson_distribution" title="Poisson distribution – Simple English" lang="en-simple" hreflang="en-simple" data-title="Poisson distribution" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Poissonovo_rozdelenie" title="Poissonovo rozdelenie – eslovacu" lang="sk" hreflang="sk" data-title="Poissonovo rozdelenie" data-language-autonym="Slovenčina" data-language-local-name="eslovacu" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Poissonova_porazdelitev" title="Poissonova porazdelitev – eslovenu" lang="sl" hreflang="sl" data-title="Poissonova porazdelitev" data-language-autonym="Slovenščina" data-language-local-name="eslovenu" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Shp%C3%ABrndarja_Poisson" title="Shpërndarja Poisson – albanu" lang="sq" hreflang="sq" data-title="Shpërndarja Poisson" data-language-autonym="Shqip" data-language-local-name="albanu" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/Poasonova_raspodela" title="Poasonova raspodela – serbiu" lang="sr" hreflang="sr" data-title="Poasonova raspodela" data-language-autonym="Српски / srpski" data-language-local-name="serbiu" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Sebaran_Poisson" title="Sebaran Poisson – sondanés" lang="su" hreflang="su" data-title="Sebaran Poisson" data-language-autonym="Sunda" data-language-local-name="sondanés" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Poissonf%C3%B6rdelning" title="Poissonfördelning – suecu" lang="sv" hreflang="sv" data-title="Poissonfördelning" data-language-autonym="Svenska" data-language-local-name="suecu" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a 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class="mw-indicators"> <div id="mw-indicator-tradubot" class="mw-indicator"><div class="mw-parser-output"><span typeof="mw:File"><a href="https://es.wikipedia.org/wiki/Distribuci%C3%B3n_de_Poisson" title="Esti artículu foi traducíu automáticamente y precisa revisase manualmente"><img alt="Esti artículu foi traducíu automáticamente y precisa revisase manualmente" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/05/Robot_icon.svg/16px-Robot_icon.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/05/Robot_icon.svg/24px-Robot_icon.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/05/Robot_icon.svg/32px-Robot_icon.svg.png 2x" data-file-width="512" data-file-height="512" /></a></span></div></div> </div> <div id="siteSub" class="noprint">De Wikipedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="ast" dir="ltr"><table class="infobox" style="width:22.7em; line-height: 1.4em; text-align:left; padding:.23em;"><tbody><tr><th colspan="3" class="cabecera física" style="text-align:center;background-color:SkyBlue;color:black;">Distribución de Poisson</th></tr><tr><td colspan="3" style="text-align:center;"> =<span typeof="mw:File"><a href="/wiki/Ficheru:Poisson_pmf.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/16/Poisson_pmf.svg/325px-Poisson_pmf.svg.png" decoding="async" width="325" height="251" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/16/Poisson_pmf.svg/488px-Poisson_pmf.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/16/Poisson_pmf.svg/650px-Poisson_pmf.svg.png 2x" data-file-width="330" data-file-height="255" /></a></span><br />La exa horizontal ye l'índiz <i>x</i>. La función solamente ta definida en valores enteros de <i>k</i>. Les llinies que conecten los puntos son solu guíes pal güeyu y nun indiquen continuidá.<br /><small>Función de densidá de probabilidá</small></td></tr><tr><td colspan="3" style="text-align:center;"> =<span typeof="mw:File"><a href="/wiki/Ficheru:PoissonCDF.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a2/PoissonCDF.png/325px-PoissonCDF.png" decoding="async" width="325" height="244" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a2/PoissonCDF.png/488px-PoissonCDF.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a2/PoissonCDF.png/650px-PoissonCDF.png 2x" data-file-width="1200" data-file-height="900" /></a></span><br /><small>La exa horizontal ye l'índiz <i>k</i>. </small><br /><small>Función de distribución de probabilidá</small></td></tr><tr><th scope="row" style="text-align:left;">Parámetros</th><td colspan="2"> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda \in (0,\infty )}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>λ</mi> <mo>∈</mo> <mo stretchy="false">(</mo> <mn>0</mn> <mo>,</mo> <mi mathvariant="normal">∞</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda \in (0,\infty )}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/66704521911e7bce5122e668683005f6d22207ac" class="mwe-math-fallback-image-inline mw-invert skin-invert" title="Con lamda en 0 hasta infinitu" aria-hidden="true" style="vertical-align: -0.838ex; width:10.525ex; height:2.843ex;" alt="{\displaystyle \lambda \in (0,\infty )}"></span></td></tr><tr><th scope="row" style="text-align:left;"><a href="/w/index.php?title=Funci%C3%B3n_de_probabilid%C3%A1&action=edit&redlink=1" class="new" title="Función de probabilidá (la páxina nun esiste)">Función de probabilidá</a> (fp)</th><td colspan="2"> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {y^{-\lambda }\lambda ^{k}}{k!}}\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mi>λ</mi> </mrow> </msup> <msup> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> </msup> </mrow> <mrow> <mi>k</mi> <mo>!</mo> </mrow> </mfrac> </mrow> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {y^{-\lambda }\lambda ^{k}}{k!}}\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d63b078dbd0815ef0468292444b30f444b7883c1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; margin-right: -0.108ex; width:6.631ex; height:6.009ex;" alt="{\displaystyle {\frac {y^{-\lambda }\lambda ^{k}}{k!}}\!}"></span></td></tr><tr><th scope="row" style="text-align:left;"><a href="/w/index.php?title=Funci%C3%B3n_de_distribuci%C3%B3n&action=edit&redlink=1" class="new" title="Función de distribución (la páxina nun esiste)">Función de distribución</a> (cdf)</th><td colspan="2"> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {\Gamma (\lfloor k+1\rfloor ,\lambda )}{\lfloor k\rfloor !}}\!{\text{ for }}k\geq 0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">Γ</mi> <mo stretchy="false">(</mo> <mo fence="false" stretchy="false">⌊</mo> <mi>k</mi> <mo>+</mo> <mn>1</mn> <mo fence="false" stretchy="false">⌋</mo> <mo>,</mo> <mi>λ</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mo fence="false" stretchy="false">⌊</mo> <mi>k</mi> <mo fence="false" stretchy="false">⌋</mo> <mo>!</mo> </mrow> </mfrac> </mrow> <mspace width="negativethinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mtext> for </mtext> </mrow> <mi>k</mi> <mo>≥</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {\Gamma (\lfloor k+1\rfloor ,\lambda )}{\lfloor k\rfloor !}}\!{\text{ for }}k\geq 0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e7ff6bd180ca8a7eafbb7ef24edbbd62c4cb11ce" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:22.799ex; height:6.509ex;" alt="{\displaystyle {\frac {\Gamma (\lfloor k+1\rfloor ,\lambda )}{\lfloor k\rfloor !}}\!{\text{ for }}k\geq 0}"></span> (ónde <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Gamma (x,y)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Γ</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Gamma (x,y)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/89a26a2719b58c1e3dc41c04ae1f927fc00e2891" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.781ex; height:2.843ex;" alt="{\displaystyle \Gamma (x,y)}"></span> ye la <a href="/w/index.php?title=Funci%C3%B3n_gamma_incompleta&action=edit&redlink=1" class="new" title="Función gamma incompleta (la páxina nun esiste)">Función gamma incompleta</a>)</td></tr><tr><th scope="row" style="text-align:left;"><a href="/wiki/Esperanza_matem%C3%A1tica" title="Esperanza matemática">Media</a></th><td colspan="2"> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda \,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>λ</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda \,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/988b7b8a22b11081bc97378c30391f573535c21c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.742ex; height:2.176ex;" alt="{\displaystyle \lambda \,}"></span></td></tr><tr><th scope="row" style="text-align:left;"><a href="/w/index.php?title=Mediana_(estad%C3%ADstica)&action=edit&redlink=1" class="new" title="Mediana (estadística) (la páxina nun esiste)">Mediana</a></th><td colspan="2"> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\text{usualmente cerca de }}\lfloor \lambda +1/3-0.02/\lambda \rfloor }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtext>usualmente cerca de </mtext> </mrow> <mo fence="false" stretchy="false">⌊</mo> <mi>λ</mi> <mo>+</mo> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>3</mn> <mo>−</mo> <mn>0.02</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>λ</mi> <mo fence="false" stretchy="false">⌋</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\text{usualmente cerca de }}\lfloor \lambda +1/3-0.02/\lambda \rfloor }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bfd1d7f2e39d607f75aef101bffcd29cf547732e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:39.987ex; height:2.843ex;" alt="{\displaystyle {\text{usualmente cerca de }}\lfloor \lambda +1/3-0.02/\lambda \rfloor }"></span></td></tr><tr><th scope="row" style="text-align:left;"><a href="/w/index.php?title=Moda_(estad%C3%ADstica)&action=edit&redlink=1" class="new" title="Moda (estadística) (la páxina nun esiste)">Moda</a></th><td colspan="2"> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \left\lceil \lambda \right\rceil -1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow> <mo>⌈</mo> <mi>λ</mi> <mo>⌉</mo> </mrow> <mo>−</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \left\lceil \lambda \right\rceil -1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f3d155da2b3e96a4f8ad8adc2a5af1fd579ff6b7" class="mwe-math-fallback-image-inline mw-invert skin-invert" title="Cota cimera a lamda menos 1" aria-hidden="true" style="vertical-align: -0.838ex; width:7.423ex; height:2.843ex;" alt="{\displaystyle \left\lceil \lambda \right\rceil -1}"></span></td></tr><tr><th scope="row" style="text-align:left;"><a href="/wiki/Varianza" title="Varianza">Varianza</a></th><td colspan="2"> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda \,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>λ</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda \,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/988b7b8a22b11081bc97378c30391f573535c21c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.742ex; height:2.176ex;" alt="{\displaystyle \lambda \,}"></span></td></tr><tr><th scope="row" style="text-align:left;"><a href="/w/index.php?title=Coeficiente_de_simetr%C3%ADa&action=edit&redlink=1" class="new" title="Coeficiente de simetría (la páxina nun esiste)">Coeficiente de simetría</a></th><td colspan="2"> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda ^{-1/2}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> </mrow> </msup> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda ^{-1/2}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/397d7a9c62e5196647b76bdc48fc02c0b228342d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.719ex; height:2.843ex;" alt="{\displaystyle \lambda ^{-1/2}\,}"></span></td></tr><tr><th scope="row" style="text-align:left;"><a href="/w/index.php?title=Curtosis&action=edit&redlink=1" class="new" title="Curtosis (la páxina nun esiste)">Curtosis</a></th><td colspan="2"> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 3+\lambda ^{-1}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mo>+</mo> <msup> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>1</mn> </mrow> </msup> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3+\lambda ^{-1}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/103198d9b23f034787270947a888f9d25b8c951b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:8.078ex; height:2.843ex;" alt="{\displaystyle 3+\lambda ^{-1}\,}"></span></td></tr><tr><th scope="row" style="text-align:left;"><a href="/w/index.php?title=Entrop%C3%ADa_(informaci%C3%B3n)&action=edit&redlink=1" class="new" title="Entropía (información) (la páxina nun esiste)">Entropía</a></th><td colspan="2"> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda [1\!-\!\ln(\lambda )]\!+\!y^{-\lambda }\sum _{k=0}^{\infty }{\frac {\lambda ^{k}\ln(k!)}{k!}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>λ</mi> <mo stretchy="false">[</mo> <mn>1</mn> <mspace width="negativethinmathspace" /> <mo>−</mo> <mspace width="negativethinmathspace" /> <mi>ln</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>λ</mi> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> <mspace width="negativethinmathspace" /> <mo>+</mo> <mspace width="negativethinmathspace" /> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mi>λ</mi> </mrow> </msup> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mo>=</mo> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞</mi> </mrow> </munderover> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msup> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> </msup> <mi>ln</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>k</mi> <mo>!</mo> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>k</mi> <mo>!</mo> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda [1\!-\!\ln(\lambda )]\!+\!y^{-\lambda }\sum _{k=0}^{\infty }{\frac {\lambda ^{k}\ln(k!)}{k!}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/45af52cfc82f1d0b893201704494fc2873b03711" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:30.08ex; height:7.176ex;" alt="{\displaystyle \lambda [1\!-\!\ln(\lambda )]\!+\!y^{-\lambda }\sum _{k=0}^{\infty }{\frac {\lambda ^{k}\ln(k!)}{k!}}}"></span></td></tr><tr><th scope="row" style="text-align:left;"><a href="/w/index.php?title=Funci%C3%B3n_xeneradora_de_momentos&action=edit&redlink=1" class="new" title="Función xeneradora de momentos (la páxina nun esiste)">Función xeneradora de momentos</a> (mgf)</th><td colspan="2"> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \exp(\lambda (y^{t}-1))\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>exp</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>λ</mi> <mo stretchy="false">(</mo> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>t</mi> </mrow> </msup> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \exp(\lambda (y^{t}-1))\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/84c24efae6055fdb1f4fe6a69eae97fb206cd160" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:14.903ex; height:3.009ex;" alt="{\displaystyle \exp(\lambda (y^{t}-1))\,}"></span></td></tr><tr><th scope="row" style="text-align:left;"><a href="/w/index.php?title=Funci%C3%B3n_caracter%C3%ADstica&action=edit&redlink=1" class="new" title="Función característica (la páxina nun esiste)">Función característica</a></th><td colspan="2"> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \exp(\lambda (y^{it}-1))\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>exp</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>λ</mi> <mo stretchy="false">(</mo> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>t</mi> </mrow> </msup> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \exp(\lambda (y^{it}-1))\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9ed5f56ba06879e2fe12781d25302fb3a38f8a07" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:15.47ex; height:3.176ex;" alt="{\displaystyle \exp(\lambda (y^{it}-1))\,}"></span></td></tr><tr><td colspan="3" style="text-align:left;"><small>[<span class="plainlinks"><a href="https://www.wikidata.org/wiki/Q205692" class="extiw" title="d:Q205692">editar datos en Wikidata</a></span>]</small></td></tr></tbody></table> <p>En <a href="/w/index.php?title=Teor%C3%ADa_de_probabilid%C3%A1&action=edit&redlink=1" class="new" title="Teoría de probabilidá (la páxina nun esiste)">teoría de probabilidá</a> y <a href="/wiki/Estad%C3%ADstica" title="Estadística">estadística</a>, la <b>distribución de Poisson</b> ye una <a href="/wiki/Distribuci%C3%B3n_de_probabilid%C3%A1" title="Distribución de probabilidá">distribución de probabilidá</a> <a href="/w/index.php?title=Matem%C3%A1tica_discreta&action=edit&redlink=1" class="new" title="Matemática discreta (la páxina nun esiste)">discreta</a> qu'espresa, a partir d'una frecuencia d'escurrimientu mediu, la probabilidá de qu'asoceda un determináu númberu d'eventos mientres ciertu periodu de tiempu. Concretamente, especializar na probabilidá d'escurrimientu de sucesos con probabilidaes bien pequeñes, o sucesos "raros". </p><p>Foi afayada por <a href="/w/index.php?title=Simeon_Poisson&action=edit&redlink=1" class="new" title="Simeon Poisson (la páxina nun esiste)">Siméon-Denis Poisson</a>, que la dio a conocer en <a href="/wiki/1838" title="1838">1838</a> nel so trabayu <i>Recherches sur la probabilité des jugements en matières criminelles et matière civile</i> (<i>Investigación sobre la probabilidá de los xuicios en materies criminales y civiles</i>). </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Propiedaes">Propiedaes</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&veaction=edit&section=1" title="Editar seición: Propiedaes" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&action=edit&section=1" title="Editar el código fuente de la sección: Propiedaes"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>La función de masa o probabilidá de la distribución de Poisson ye </p> <style data-mw-deduplicate="TemplateStyles:r4219090">.mw-parser-output .ecuacion{padding:5px 10px;background-color:var(--background-color-base);color:var(--color-base);margin-left:30px;margin-bottom:0.8em;margin-top:0.5em;min-width:50%}.mw-parser-output .ecuacion .referencia{float:right;width:10%;text-align:end}.mw-parser-output .ecuacion cite{font-style:normal}</style><blockquote class="ecuacion" style="text-align:left"> <p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f(k,\lambda )={\frac {y^{-\lambda }\lambda ^{k}}{k!}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mo stretchy="false">(</mo> <mi>k</mi> <mo>,</mo> <mi>λ</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mi>λ</mi> </mrow> </msup> <msup> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> </msup> </mrow> <mrow> <mi>k</mi> <mo>!</mo> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f(k,\lambda )={\frac {y^{-\lambda }\lambda ^{k}}{k!}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/00f7fe6b8c614ebba8bc049142b59ca34948cdab" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:16.696ex; height:6.009ex;" alt="{\displaystyle f(k,\lambda )={\frac {y^{-\lambda }\lambda ^{k}}{k!}}}"></span> </p> </blockquote> <p>onde </p> <ul><li><i>k</i> ye'l númberu d'escurrimientos del eventu o fenómenu (la función danos la probabilidá de que l'eventu asoceda precisamente <i>k</i> vegaes).</li> <li>λ ye un parámetru positivu que representa'l númberu de vegaes que s'espera qu'asoceda'l fenómenu mientres un intervalu dau. Por casu, si'l sucesu estudiáu tien llugar en permediu 4 vegaes per minutu y tamos interesaos na probabilidá de qu'asoceda <i>k</i> vegaes dientro d'un intervalu de 10 minutos, vamos usar un modelu de distribución de Poisson con λ = 10×4 = 40.</li> <li><i>y</i> ye la base de los llogaritmos naturales (y = 2,71828...)</li></ul> <p>Tanto'l <a href="/w/index.php?title=Valor_esper%C3%A1u&action=edit&redlink=1" class="new" title="Valor esperáu (la páxina nun esiste)">valor esperáu</a> como la <a href="/wiki/Varianza" title="Varianza">varianza</a> d'una variable aleatoria con distribución de Poisson son iguales a λ. Los <a href="/w/index.php?title=Momentu_(matem%C3%A1tica)&action=edit&redlink=1" class="new" title="Momentu (matemática) (la páxina nun esiste)">momentos</a> d'orde cimeru son <a href="/w/index.php?title=Polinomios_de_Touchard&action=edit&redlink=1" class="new" title="Polinomios de Touchard (la páxina nun esiste)">polinomios de Touchard</a> en λ que los sos coeficientes tienen una interpretación <a href="/wiki/Combinatoria" title="Combinatoria">combinatoria</a>. Ello ye que cuando'l valor esperáu de la distribución de Poisson ye 1, entós según la <a href="/w/index.php?title=F%C3%B3rmula_de_Dobinski&action=edit&redlink=1" class="new" title="Fórmula de Dobinski (la páxina nun esiste)">fórmula de Dobinski</a>, el <i>n</i>-ésimo momentu iguala al númberu de <a href="/w/index.php?title=Partici%C3%B3n_(matem%C3%A1tica)&action=edit&redlink=1" class="new" title="Partición (matemática) (la páxina nun esiste)">particiones</a> de tamañu <i>n</i>. </p><p>La <a href="/w/index.php?title=Moda_(matem%C3%A1tiques)&action=edit&redlink=1" class="new" title="Moda (matemátiques) (la páxina nun esiste)">moda</a> d'una variable aleatoria de distribución de Poisson con un λ non enteru ye igual a <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \lfloor \lambda \rfloor }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo fence="false" stretchy="false">⌊</mo> <mi>λ</mi> <mo fence="false" stretchy="false">⌋</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \lfloor \lambda \rfloor }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7e6fd9f7bc0e830173db6b4fba33624bd4bd0f6d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.418ex; height:2.176ex;" alt="{\displaystyle \scriptstyle \lfloor \lambda \rfloor }"></span>, el mayor de los enteros menores que λ (los símbolos <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \lfloor \ \rfloor }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mo fence="false" stretchy="false">⌊</mo> <mtext> </mtext> <mo fence="false" stretchy="false">⌋</mo> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \lfloor \ \rfloor }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/afe4121eaf0efaa715195ceeeb1df4594d608603" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.041ex; height:2.176ex;" alt="{\displaystyle \scriptstyle \lfloor \ \rfloor }"></span> representen la <a href="/w/index.php?title=Funci%C3%B3n_parte_entera&action=edit&redlink=1" class="new" title="Función parte entera (la páxina nun esiste)">función parte entera</a>). Cuando λ ye un enteru positivu, les modes son λ y λ − 1. </p><p>La <a href="/w/index.php?title=Funci%C3%B3n_xeneradora_de_momentos&action=edit&redlink=1" class="new" title="Función xeneradora de momentos (la páxina nun esiste)">función xeneradora de momentos</a> de la distribución de Poisson con valor esperáu λ ye </p> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r4219090"><blockquote class="ecuacion" style="text-align:left"> <p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathrm {Y} \left(y^{tX}\right)=\sum _{k=0}^{\infty }y^{tk}f(k;\lambda )=\sum _{k=0}^{\infty }y^{tk}{\lambda ^{k}y^{-\lambda } \over k!}=y^{\lambda (y^{t}-1)}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">Y</mi> </mrow> <mrow> <mo>(</mo> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>t</mi> <mi>X</mi> </mrow> </msup> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mo>=</mo> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞</mi> </mrow> </munderover> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>t</mi> <mi>k</mi> </mrow> </msup> <mi>f</mi> <mo stretchy="false">(</mo> <mi>k</mi> <mo>;</mo> <mi>λ</mi> <mo stretchy="false">)</mo> <mo>=</mo> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mo>=</mo> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞</mi> </mrow> </munderover> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>t</mi> <mi>k</mi> </mrow> </msup> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msup> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> </msup> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mi>λ</mi> </mrow> </msup> </mrow> <mrow> <mi>k</mi> <mo>!</mo> </mrow> </mfrac> </mrow> <mo>=</mo> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>λ</mi> <mo stretchy="false">(</mo> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>t</mi> </mrow> </msup> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </msup> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathrm {Y} \left(y^{tX}\right)=\sum _{k=0}^{\infty }y^{tk}f(k;\lambda )=\sum _{k=0}^{\infty }y^{tk}{\lambda ^{k}y^{-\lambda } \over k!}=y^{\lambda (y^{t}-1)}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0434611c82f539567da19d1799ba55aa6d20f201" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:51.554ex; height:7.176ex;" alt="{\displaystyle \mathrm {Y} \left(y^{tX}\right)=\sum _{k=0}^{\infty }y^{tk}f(k;\lambda )=\sum _{k=0}^{\infty }y^{tk}{\lambda ^{k}y^{-\lambda } \over k!}=y^{\lambda (y^{t}-1)}.}"></span> </p> </blockquote> <p>Les variables aleatories de Poisson tienen la propiedá de ser <a href="/w/index.php?title=Infinitamente_divisible&action=edit&redlink=1" class="new" title="Infinitamente divisible (la páxina nun esiste)">infinitamente divisibles</a>. </p><p>La <a href="/w/index.php?title=Diverxencia_de_Kullback-Leibler&action=edit&redlink=1" class="new" title="Diverxencia de Kullback-Leibler (la páxina nun esiste)">diverxencia Kullback-Leibler</a> dende una variable aleatoria de Poisson de parámetru λ<sub>0</sub> a otra de parámetru λ ye </p> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r4219090"><blockquote class="ecuacion" style="text-align:left"> <p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle D_{\mathrm {KL} }(\lambda ||\lambda _{0})=\lambda \left(1-{\frac {\lambda _{0}}{\lambda }}+{\frac {\lambda _{0}}{\lambda }}\log {\frac {\lambda _{0}}{\lambda }}\right).}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>D</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">K</mi> <mi mathvariant="normal">L</mi> </mrow> </mrow> </msub> <mo stretchy="false">(</mo> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <msub> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mo>=</mo> <mi>λ</mi> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mi>λ</mi> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mi>λ</mi> </mfrac> </mrow> <mi>log</mi> <mo>⁡</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mi>λ</mi> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle D_{\mathrm {KL} }(\lambda ||\lambda _{0})=\lambda \left(1-{\frac {\lambda _{0}}{\lambda }}+{\frac {\lambda _{0}}{\lambda }}\log {\frac {\lambda _{0}}{\lambda }}\right).}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c9d09fac0c970985f47eb7c16c0dfe55691eae05" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:40.952ex; height:6.176ex;" alt="{\displaystyle D_{\mathrm {KL} }(\lambda ||\lambda _{0})=\lambda \left(1-{\frac {\lambda _{0}}{\lambda }}+{\frac {\lambda _{0}}{\lambda }}\log {\frac {\lambda _{0}}{\lambda }}\right).}"></span> </p> </blockquote> <div class="mw-heading mw-heading2"><h2 id="Intervalu_d'enfotu"><span id="Intervalu_d.27enfotu"></span>Intervalu d'enfotu</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&veaction=edit&section=2" title="Editar seición: Intervalu d'enfotu" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&action=edit&section=2" title="Editar el código fuente de la sección: Intervalu d'enfotu"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Un criteriu fácil y rápido pa calcular un intervalu d'enfotu averáu de λ ye propuestu por Guerriero (2012).<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> Dada una serie d'eventos k (siquier el 15 - 20) nun periodu de tiempu T, les llendes del intervalu d'enfotu pa la frecuencia vienen daes por: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F_{low}=\left(1-{\frac {1.96}{\sqrt {k-1}}}\right){\frac {k}{T}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>l</mi> <mi>o</mi> <mi>w</mi> </mrow> </msub> <mo>=</mo> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1.96</mn> <msqrt> <mi>k</mi> <mo>−</mo> <mn>1</mn> </msqrt> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>k</mi> <mi>T</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{low}=\left(1-{\frac {1.96}{\sqrt {k-1}}}\right){\frac {k}{T}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e64f19c5b007379a274af4effd091ae973490434" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.838ex; width:25.559ex; height:6.509ex;" alt="{\displaystyle F_{low}=\left(1-{\frac {1.96}{\sqrt {k-1}}}\right){\frac {k}{T}}}"></span></dd></dl> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F_{upp}=\left(1+{\frac {1.96}{\sqrt {k-1}}}\right){\frac {k}{T}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>u</mi> <mi>p</mi> <mi>p</mi> </mrow> </msub> <mo>=</mo> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1.96</mn> <msqrt> <mi>k</mi> <mo>−</mo> <mn>1</mn> </msqrt> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>k</mi> <mi>T</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{upp}=\left(1+{\frac {1.96}{\sqrt {k-1}}}\right){\frac {k}{T}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0737937831959d2b05d146160482aa08865169ba" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.838ex; width:25.689ex; height:6.509ex;" alt="{\displaystyle F_{upp}=\left(1+{\frac {1.96}{\sqrt {k-1}}}\right){\frac {k}{T}}}"></span></dd></dl> <p>entós les llendes del parámetru <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>λ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b43d0ea3c9c025af1be9128e62a18fa74bedda2a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.355ex; height:2.176ex;" alt="{\displaystyle \lambda }"></span> tán daes por:<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda _{low}=F_{low}T;\lambda _{upp}=F_{upp}T}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>l</mi> <mi>o</mi> <mi>w</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>l</mi> <mi>o</mi> <mi>w</mi> </mrow> </msub> <mi>T</mi> <mo>;</mo> <msub> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>u</mi> <mi>p</mi> <mi>p</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>u</mi> <mi>p</mi> <mi>p</mi> </mrow> </msub> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda _{low}=F_{low}T;\lambda _{upp}=F_{upp}T}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/44b9be401676ec6570850d6b76054ef3ce599c26" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:27.249ex; height:2.843ex;" alt="{\displaystyle \lambda _{low}=F_{low}T;\lambda _{upp}=F_{upp}T}"></span>. </p> <div class="mw-heading mw-heading2"><h2 id="Rellación_con_otres_distribuciones"><span id="Rellaci.C3.B3n_con_otres_distribuciones"></span>Rellación con otres distribuciones</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&veaction=edit&section=3" title="Editar seición: Rellación con otres distribuciones" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&action=edit&section=3" title="Editar el código fuente de la sección: Rellación con otres distribuciones"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Sumes_de_variables_aleatories_de_Poisson">Sumes de variables aleatories de Poisson</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&veaction=edit&section=4" title="Editar seición: Sumes de variables aleatories de Poisson" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&action=edit&section=4" title="Editar el código fuente de la sección: Sumes de variables aleatories de Poisson"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>La suma de variables aleatories de Poisson independientes ye otra variable aleatoria de Poisson que'l so parámetru ye la suma de los parámetros de les orixinales. Dicho otra manera, si :<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle X_{i}\sim \mathrm {Poi} (\lambda _{i})\,,i=1,\dots ,N}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>X</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo>∼</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">P</mi> <mi mathvariant="normal">o</mi> <mi mathvariant="normal">i</mi> </mrow> <mo stretchy="false">(</mo> <msub> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> <mo>,</mo> <mi>i</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mo>…</mo> <mo>,</mo> <mi>N</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle X_{i}\sim \mathrm {Poi} (\lambda _{i})\,,i=1,\dots ,N}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/48c4de1c245dedc0bdd79933ab02ecc2bb38c838" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:26.905ex; height:2.843ex;" alt="{\displaystyle X_{i}\sim \mathrm {Poi} (\lambda _{i})\,,i=1,\dots ,N}"></span> son <i>N</i> variables aleatories de Poisson <a href="/w/index.php?title=Independencia_estad%C3%ADstica&action=edit&redlink=1" class="new" title="Independencia estadística (la páxina nun esiste)">independientes</a>, entós :<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Y=\sum _{i=1}^{N}X_{i}\sim \mathrm {Poi} \left(\sum _{i+1}^{N}\lambda _{i}\right)\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Y</mi> <mo>=</mo> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>N</mi> </mrow> </munderover> <msub> <mi>X</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo>∼</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">P</mi> <mi mathvariant="normal">o</mi> <mi mathvariant="normal">i</mi> </mrow> <mrow> <mo>(</mo> <mrow> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>+</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>N</mi> </mrow> </munderover> <msub> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mrow> <mo>)</mo> </mrow> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Y=\sum _{i=1}^{N}X_{i}\sim \mathrm {Poi} \left(\sum _{i+1}^{N}\lambda _{i}\right)\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3b09d12238a9c3841246f7e36b472b7484d2901e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:28.181ex; height:7.509ex;" alt="{\displaystyle Y=\sum _{i=1}^{N}X_{i}\sim \mathrm {Poi} \left(\sum _{i+1}^{N}\lambda _{i}\right)\,}"></span>. </p> <div class="mw-heading mw-heading3"><h3 id="Distribución_binomial"><span id="Distribuci.C3.B3n_binomial"></span>Distribución binomial</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&veaction=edit&section=5" title="Editar seición: Distribución binomial" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&action=edit&section=5" title="Editar el código fuente de la sección: Distribución binomial"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>La distribución de Poisson ye'l casu llende de la <a href="/wiki/Distribuci%C3%B3n_binomial" class="mw-redirect" title="Distribución binomial">distribución binomial</a>. Ello ye que si los parámetros <i>n</i> y <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \theta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>θ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \theta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6e5ab2664b422d53eb0c7df3b87e1360d75ad9af" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.09ex; height:2.176ex;" alt="{\displaystyle \theta }"></span> d'una distribución binomial tienden a infinitu (nel casu de 'n') y a cero (nel casu de <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \theta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>θ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \theta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6e5ab2664b422d53eb0c7df3b87e1360d75ad9af" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.09ex; height:2.176ex;" alt="{\displaystyle \theta }"></span>) de manera que <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \!\lambda =n\theta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="negativethinmathspace" /> <mi>λ</mi> <mo>=</mo> <mi>n</mi> <mi>θ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \!\lambda =n\theta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/444ed37627257b8b4921bdeba992ea764f55fd4c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-left: -0.387ex; width:6.939ex; height:2.176ex;" alt="{\displaystyle \!\lambda =n\theta }"></span> calténgase constante, la distribución llende llograda ye de Poisson. </p> <div class="mw-heading mw-heading3"><h3 id="Aproximamientu_normal">Aproximamientu normal</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&veaction=edit&section=6" title="Editar seición: Aproximamientu normal" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&action=edit&section=6" title="Editar el código fuente de la sección: Aproximamientu normal"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div><p> De resultes del <a href="/w/index.php?title=Teorema_central_de_la_llende&action=edit&redlink=1" class="new" title="Teorema central de la llende (la páxina nun esiste)">teorema central de la llende</a>, pa valores grandes de <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>λ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b43d0ea3c9c025af1be9128e62a18fa74bedda2a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.355ex; height:2.176ex;" alt="{\displaystyle \lambda }"></span>, una variable aleatoria de Poisson <i>X</i> puede averase por otra <a href="/wiki/Distribuci%C3%B3n_normal" title="Distribución normal">normal</a> yá que el cociente <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r4219090"></p><blockquote class="ecuacion" style="text-align:left"> <p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Y={\frac {X-\lambda }{\sqrt {\lambda }}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Y</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>X</mi> <mo>−</mo> <mi>λ</mi> </mrow> <msqrt> <mi>λ</mi> </msqrt> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Y={\frac {X-\lambda }{\sqrt {\lambda }}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b20e7dae0626db2aa243013caf6f9d670cf9a6f0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.838ex; width:11.884ex; height:6.343ex;" alt="{\displaystyle Y={\frac {X-\lambda }{\sqrt {\lambda }}}}"></span> </p> </blockquote> <p>converxe a una distribución normal de media 0 y varianza 1. </p> <div class="mw-heading mw-heading3"><h3 id="Distribución_esponencial"><span id="Distribuci.C3.B3n_esponencial"></span>Distribución esponencial</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&veaction=edit&section=7" title="Editar seición: Distribución esponencial" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&action=edit&section=7" title="Editar el código fuente de la sección: Distribución esponencial"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Supóngase que pa cada valor <i>t</i> > 0, que representa'l tiempu, el númberu de sucesos de ciertu fenómenu aleatoriu sigue una distribución de Poisson de parámetru λt. Entós, los tiempos trescurríos ente dos sucesos socesivos sigue la <a href="/wiki/Distribuci%C3%B3n_esponencial" title="Distribución esponencial">distribución esponencial</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Exemplu">Exemplu</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&veaction=edit&section=8" title="Editar seición: Exemplu" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&action=edit&section=8" title="Editar el código fuente de la sección: Exemplu"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Si'l 2% de los llibros enllibraos en ciertu taller tien encuadernación defectuosa, pa llograr la probabilidá de que 5 de 400 llibros enllibraos nesti taller tengan encuadernaciones defectuoses usamos la distribución de Poisson. Nesti casu concretu, <i>k</i> ye 5 y, λ, el valor esperáu de llibros defectuosos ye'l 2% de 400, esto ye, 8. Poro, la probabilidá buscada ye </p> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r4219090"><blockquote class="ecuacion" style="text-align:left"> <p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \!P(5;8)={\frac {8^{5}y^{-8}}{5!}}=0,092.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="negativethinmathspace" /> <mi>P</mi> <mo stretchy="false">(</mo> <mn>5</mn> <mo>;</mo> <mn>8</mn> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msup> <mn>8</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>5</mn> </mrow> </msup> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>8</mn> </mrow> </msup> </mrow> <mrow> <mn>5</mn> <mo>!</mo> </mrow> </mfrac> </mrow> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mn>092.</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \!P(5;8)={\frac {8^{5}y^{-8}}{5!}}=0,092.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/efccc34a1c70c5884509090c22aa262290f10bf8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; margin-left: -0.387ex; width:25.987ex; height:6.009ex;" alt="{\displaystyle \!P(5;8)={\frac {8^{5}y^{-8}}{5!}}=0,092.}"></span> </p> </blockquote> <div class="mw-heading mw-heading2"><h2 id="Procesos_de_Poisson">Procesos de Poisson</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&veaction=edit&section=9" title="Editar seición: Procesos de Poisson" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&action=edit&section=9" title="Editar el código fuente de la sección: Procesos de Poisson"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r4219085">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">Artículu principal: <a href="/w/index.php?title=Procesu_de_Poisson&action=edit&redlink=1" class="new" title="Procesu de Poisson (la páxina nun esiste)">Procesu de Poisson</a></div> <p>La distribución de Poisson aplicar a dellos fenómenos discretos de la naturaleza (esto ye, aquellos fenómenos qu'asoceden 0, 1, 2, 3,... vegaes mientres un periodu definíu de tiempu o nun área determinada) cuando la probabilidá d'escurrimientu del fenómenu ye constante nel tiempu o l'espaciu. Exemplos d'estos eventos que pueden ser modelaos pola distribución de Poisson inclúin: </p> <ul><li>El númberu d'autos que pasen al traviés d'un ciertu puntu nuna ruta (abondo distantes de los semáforos) mientres un periodu definíu de tiempu.</li> <li>El númberu d'errores d'ortografía qu'unu comete al escribir una única páxina.</li> <li>El númberu de llamaes telefóniques nuna central telefónica per minutu.</li> <li>El númberu de <a href="/w/index.php?title=Servidores_web&action=edit&redlink=1" class="new" title="Servidores web (la páxina nun esiste)">servidores web</a> aportaos per minutu.</li> <li>El númberu d'animales muertos atopaos por unidá de llargor de ruta.</li> <li>El númberu de mutaciones de determinada cadena d'<a href="/wiki/ADN" class="mw-redirect" title="ADN">ADN</a> dempués de cierta cantidá de radiación.</li> <li>El númberu de nucleos atómicos inestables que s'han desintegráu nun determináu periodu.</li> <li>El númberu d'estrelles nun determináu volume d'espaciu.</li> <li>La distribución de receptores visuales na <a href="/wiki/Retina" title="Retina">retina</a> del güeyu humanu.</li> <li>El maxín<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> d'un inventor a lo llargo de la so carrera.</li> <li>La distribución de la riqueza humana.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Ver_tamién"><span id="Ver_tami.C3.A9n"></span>Ver tamién</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&veaction=edit&section=10" title="Editar seición: Ver tamién" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&action=edit&section=10" title="Editar el código fuente de la sección: Ver tamién"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/w/index.php?title=Procesu_de_Poisson&action=edit&redlink=1" class="new" title="Procesu de Poisson (la páxina nun esiste)">Procesu de Poisson</a></li> <li><a href="/w/index.php?title=Regresi%C3%B3n_de_Poisson&action=edit&redlink=1" class="new" title="Regresión de Poisson (la páxina nun esiste)">Regresión de Poisson</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Referencies">Referencies</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&veaction=edit&section=11" title="Editar seición: Referencies" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&action=edit&section=11" title="Editar el código fuente de la sección: Referencies"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r3503771">@media only screen and (max-width:600px){.mw-parser-output .llistaref{column-count:1!important}}</style><div class="llistaref" style="list-style-type: decimal;"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><span class="citation cita-Journal" id="CITAREFGuerriero_V.">Guerriero V.. «<a rel="nofollow" class="external text" href="http://www.seipub.org/sjmmf/MostDownloaded.aspx">Power Law Distribution: Method of Multi-scale Inferential Statistics</a>». <i>J. Mod. Math. Fr</i><span class="printonly">. <a rel="nofollow" class="external free" href="http://www.seipub.org/sjmmf/MostDownloaded.aspx">http://www.seipub.org/sjmmf/MostDownloaded.aspx</a></span>.</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Power+Law+Distribution%3A+Method+of+Multi-scale+Inferential+Statistics&rft.jtitle=J.+Mod.+Math.+Fr&rft.aulast=Guerriero+V.&rft.au=Guerriero+V.&rft_id=http%3A%2F%2Fwww.seipub.org%2Fsjmmf%2FMostDownloaded.aspx&rfr_id=info:sid/ast.wikipedia.org:Distribuci%C3%B3n_de_Poisson"><span style="display: none;"> </span></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text">Invention and Inventivity Is a Random, Poisson Process: A Potential Guide to Analysis of General Creativity <a rel="nofollow" class="external free" href="http://www.leaonline.com/doi/pdfplus/10.1207/s15326934crj1103_3">http://www.leaonline.com/doi/pdfplus/10.1207/s15326934crj1103_3</a></span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Enllaces_esternos">Enllaces esternos</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&veaction=edit&section=12" title="Editar seición: Enllaces esternos" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Distribuci%C3%B3n_de_Poisson&action=edit&section=12" title="Editar el código fuente de la sección: Enllaces esternos"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://tablas-estadisticas.blogspot.com/2010/06/poisson-puntual.html">Distribución de Poisson Puntual</a></li> <li><a rel="nofollow" class="external text" href="http://tablas-estadisticas.blogspot.com/2010/06/poisson-acumulada.html">Distribución de Poisson Acumulada</a></li> <li><a rel="nofollow" class="external text" href="http://www.elektro-energetika.cz/calculations/po.php?language=espanol">Calculadora Distribución de Poisson</a></li> <li><a rel="nofollow" class="external text" href="http://cajael.com/mestadisticos/T6DDiscretas/node7.php">Cálculu de la probabilidá d'una distribución de Poisson</a> usando <a href="/w/index.php?title=R_(llinguaxe_de_programaci%C3%B3n)&action=edit&redlink=1" class="new" title="R (llinguaxe de programación) (la páxina nun esiste)">R</a></li></ul> <style data-mw-deduplicate="TemplateStyles:r2260362">.mw-parser-output .mw-authority-control .navbox hr:last-child{display:none}.mw-parser-output .mw-authority-control .navbox+.mw-mf-linked-projects{display:none}.mw-parser-output .mw-authority-control .mw-mf-linked-projects{display:flex;padding:0.5em;border:1px solid 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style="width:1%;width: 12%; text-align:center;"><a href="/wiki/Ayuda:Control_d%27autoridaes" title="Ayuda:Control d'autoridaes">Control d'autoridaes</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><b>Proyeutos Wikimedia</b></li> <li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikidata" title="Wikidata"><img alt="Wd" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/20px-Wikidata-logo.svg.png" decoding="async" width="20" height="11" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/30px-Wikidata-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/40px-Wikidata-logo.svg.png 2x" data-file-width="1050" data-file-height="590" /></a></span> Datos:</span> <span class="uid"><a href="https://www.wikidata.org/wiki/Q205692" class="extiw" title="wikidata:Q205692">Q205692</a></span></li> <li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikimedia_Commons" title="Commonscat"><img alt="Commonscat" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/15px-Commons-logo.svg.png" decoding="async" width="15" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/23px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></a></span> Multimedia:</span> <span class="uid"><span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Poisson_distribution">Poisson distribution</a></span></span></li></ul> <hr /> <ul><li><b>Identificadores</b></li> <li><span style="white-space:nowrap;"><a href="/wiki/Integrated_Authority_File" class="mw-redirect" title="Integrated Authority File">GND</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/4253010-6">4253010-6</a></span></li> <li><span style="white-space:nowrap;"><a href="/wiki/Library_of_Congress_Control_Number" class="mw-redirect" title="Library of Congress Control Number">LCCN</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/sh85103956">sh85103956</a></span></li> <li><span style="white-space:nowrap;"><a href="/wiki/National_Diet_Library" class="mw-redirect" title="National Diet Library">NDL</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://id.ndl.go.jp/auth/ndlna/00569122">00569122</a></span></li> <li><b>Diccionarios y enciclopedies</b></li> <li><span style="white-space:nowrap;"><a href="/wiki/Enciclopedia_Brit%C3%A1nica" class="mw-redirect" title="Enciclopedia Británica">Britannica</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://www.britannica.com/topic/Poisson-distribution">url</a></span></li> <li><b>Identificadores médicos</b></li> <li><span style="white-space:nowrap;"><a href="/wiki/Medical_Subject_Headings" title="Medical Subject Headings">MeSH</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://meshb.nlm.nih.gov/record/ui?ui=D016012">D016012</a></span></li> <li><span style="white-space:nowrap;">UMLS:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://ncim-stage.nci.nih.gov/ncimbrowser/ConceptReport.jsp?dictionary=NCI%20Metathesaurus&code=C0032347">C0032347</a></span></li></ul> </div></td></tr></tbody></table></div><div class="mw-mf-linked-projects hlist"> <ul><li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikidata" title="Wikidata"><img alt="Wd" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/20px-Wikidata-logo.svg.png" decoding="async" width="20" height="11" 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/></a></span> Multimedia:</span> <span class="uid"><span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Poisson_distribution">Poisson distribution</a></span></span></li></ul> </div></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Sacáu de «<a dir="ltr" href="https://ast.wikipedia.org/w/index.php?title=Distribución_de_Poisson&oldid=4248754">https://ast.wikipedia.org/w/index.php?title=Distribución_de_Poisson&oldid=4248754</a>»</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Especial:Categor%C3%ADas" title="Especial:Categorías">Categoríes</a>: <ul><li><a href="/wiki/Categor%C3%ADa:Wikipedia:Revisar_traducci%C3%B3n" title="Categoría:Wikipedia:Revisar 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