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Dit is echter niet verplicht." class=""><span>Account aanmaken</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Speciaal:Aanmelden&returnto=Sterftecijfer" title="U wordt van harte uitgenodigd om aan te melden, maar dit is niet verplicht [o]" accesskey="o" class=""><span>Aanmelden</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Meer opties" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Persoonlijke hulpmiddelen" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-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-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Persoonlijke hulpmiddelen</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Gebruikersmenu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_nl.wikipedia.org&uselang=nl"><span>Doneren</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Speciaal:GebruikerAanmaken&returnto=Sterftecijfer" title="Registreer u vooral en meld u aan. Dit is echter niet verplicht."><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Account aanmaken</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Speciaal:Aanmelden&returnto=Sterftecijfer" title="U wordt van harte uitgenodigd om aan te melden, maar dit is niet verplicht [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Aanmelden</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Pagina's voor uitgelogde redacteuren <a href="/wiki/Help:Inleiding" aria-label="Meer leren over bewerken"><span>meer lezen</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Speciaal:MijnBijdragen" title="Bijdragen IP-adres [y]" accesskey="y"><span>Bijdragen</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Speciaal:MijnOverleg" title="Overlegpagina van de anonieme gebruiker van dit IP-adres [n]" accesskey="n"><span>Overleg</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Site"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Inhoud" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Inhoud</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">naar zijbalk verplaatsen</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">verbergen</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Top</div> </a> </li> <li id="toc-Statistieken" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Statistieken"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Statistieken</span> </div> </a> <button aria-controls="toc-Statistieken-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Statistieken-subkopje inklappen</span> </button> <ul id="toc-Statistieken-sublist" class="vector-toc-list"> <li id="toc-Nederland_in_verhouding_tot_Europa" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Nederland_in_verhouding_tot_Europa"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Nederland in verhouding tot Europa</span> </div> </a> <ul id="toc-Nederland_in_verhouding_tot_Europa-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Sterftecijfers_in_Nederland" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Sterftecijfers_in_Nederland"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>Sterftecijfers in Nederland</span> </div> </a> <ul id="toc-Sterftecijfers_in_Nederland-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zuigelingensterfte" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Zuigelingensterfte"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.3</span> <span>Zuigelingensterfte</span> </div> </a> <ul id="toc-Zuigelingensterfte-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Verschil_tussen_man_en_vrouw" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Verschil_tussen_man_en_vrouw"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.4</span> <span>Verschil tussen man en vrouw</span> </div> </a> <ul id="toc-Verschil_tussen_man_en_vrouw-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Force_of_mortality" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Force_of_mortality"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span><i>Force of mortality</i></span> </div> </a> <ul id="toc-Force_of_mortality-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Prognosemodel_van_het_AG" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Prognosemodel_van_het_AG"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Prognosemodel van het AG</span> </div> </a> <ul id="toc-Prognosemodel_van_het_AG-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zie_ook" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Zie_ook"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Zie ook</span> </div> </a> <ul id="toc-Zie_ook-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Externe_links" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Externe_links"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Externe links</span> </div> </a> <ul id="toc-Externe_links-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="Inhoud" 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="Inhoudsopgave omschakelen" > <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">Inhoudsopgave omschakelen</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">Sterftecijfer</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="Ga naar een artikel in een andere taal. Beschikbaar in 60 talen" > <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-60" 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">60 talen</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/%D9%85%D8%B9%D8%AF%D9%84_%D8%A7%D9%84%D9%88%D9%81%D9%8A%D8%A7%D8%AA" title="معدل الوفيات – Arabisch" lang="ar" hreflang="ar" data-title="معدل الوفيات" data-language-autonym="العربية" data-language-local-name="Arabisch" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A1%D0%BC%D1%8F%D1%80%D0%BE%D1%82%D0%BD%D0%B0%D1%81%D1%86%D1%8C" title="Смяротнасць – Belarussisch" lang="be" hreflang="be" data-title="Смяротнасць" data-language-autonym="Беларуская" data-language-local-name="Belarussisch" 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%A1%D0%BC%D1%8A%D1%80%D1%82%D0%BD%D0%BE%D1%81%D1%82" title="Смъртност – Bulgaars" lang="bg" hreflang="bg" data-title="Смъртност" data-language-autonym="Български" data-language-local-name="Bulgaars" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Mortalitet" title="Mortalitet – Bosnisch" lang="bs" hreflang="bs" data-title="Mortalitet" data-language-autonym="Bosanski" data-language-local-name="Bosnisch" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Taxa_de_mortalitat" title="Taxa de mortalitat – Catalaans" lang="ca" hreflang="ca" data-title="Taxa de mortalitat" data-language-autonym="Català" data-language-local-name="Catalaans" 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/%C3%9Amrtnost" title="Úmrtnost – Tsjechisch" lang="cs" hreflang="cs" data-title="Úmrtnost" data-language-autonym="Čeština" data-language-local-name="Tsjechisch" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Cyfradd_marwolaeth" title="Cyfradd marwolaeth – Welsh" lang="cy" hreflang="cy" data-title="Cyfradd marwolaeth" data-language-autonym="Cymraeg" data-language-local-name="Welsh" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/D%C3%B8delighed" title="Dødelighed – Deens" lang="da" hreflang="da" data-title="Dødelighed" data-language-autonym="Dansk" data-language-local-name="Deens" 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/Mortalit%C3%A4t" title="Mortalität – Duits" lang="de" hreflang="de" data-title="Mortalität" data-language-autonym="Deutsch" data-language-local-name="Duits" 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%98%CE%BD%CE%B7%CF%83%CE%B9%CE%BC%CF%8C%CF%84%CE%B7%CF%84%CE%B1" title="Θνησιμότητα – Grieks" lang="el" hreflang="el" data-title="Θνησιμότητα" data-language-autonym="Ελληνικά" data-language-local-name="Grieks" 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/Mortality_rate" title="Mortality rate – Engels" lang="en" hreflang="en" data-title="Mortality rate" data-language-autonym="English" data-language-local-name="Engels" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Mortindico" title="Mortindico – Esperanto" lang="eo" hreflang="eo" data-title="Mortindico" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Tasa_bruta_de_mortalidad" title="Tasa bruta de mortalidad – Spaans" lang="es" hreflang="es" data-title="Tasa bruta de mortalidad" data-language-autonym="Español" data-language-local-name="Spaans" 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/Suremus" title="Suremus – Estisch" lang="et" hreflang="et" data-title="Suremus" data-language-autonym="Eesti" data-language-local-name="Estisch" 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/Heriotza-tasa" title="Heriotza-tasa – Baskisch" lang="eu" hreflang="eu" data-title="Heriotza-tasa" data-language-autonym="Euskara" data-language-local-name="Baskisch" 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/%D9%86%D8%B1%D8%AE_%D9%85%D8%B1%DA%AF%E2%80%8C%D9%88%D9%85%DB%8C%D8%B1" title="نرخ مرگ‌ومیر – Perzisch" lang="fa" hreflang="fa" data-title="نرخ مرگ‌ومیر" data-language-autonym="فارسی" data-language-local-name="Perzisch" 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/Kuolleisuus" title="Kuolleisuus – Fins" lang="fi" hreflang="fi" data-title="Kuolleisuus" data-language-autonym="Suomi" data-language-local-name="Fins" 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/Taux_de_mortalit%C3%A9" title="Taux de mortalité – Frans" lang="fr" hreflang="fr" data-title="Taux de mortalité" data-language-autonym="Français" data-language-local-name="Frans" 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/Taxa_de_mortalidade" title="Taxa de mortalidade – Galicisch" lang="gl" hreflang="gl" data-title="Taxa de mortalidade" data-language-autonym="Galego" data-language-local-name="Galicisch" 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%A9%D7%99%D7%A2%D7%95%D7%A8_%D7%AA%D7%9E%D7%95%D7%AA%D7%94" title="שיעור תמותה – Hebreeuws" lang="he" hreflang="he" data-title="שיעור תמותה" data-language-autonym="עברית" data-language-local-name="Hebreeuws" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Mortalitet" title="Mortalitet – Kroatisch" lang="hr" hreflang="hr" data-title="Mortalitet" data-language-autonym="Hrvatski" data-language-local-name="Kroatisch" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/To_m%C3%B2talite" title="To mòtalite – Haïtiaans Creools" lang="ht" hreflang="ht" data-title="To mòtalite" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Haïtiaans Creools" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Hal%C3%A1loz%C3%A1si_ar%C3%A1nysz%C3%A1m" title="Halálozási arányszám – Hongaars" lang="hu" hreflang="hu" data-title="Halálozási arányszám" data-language-autonym="Magyar" data-language-local-name="Hongaars" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Angka_kematian" title="Angka kematian – Indonesisch" lang="id" hreflang="id" data-title="Angka kematian" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesisch" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Tasso_di_mortalit%C3%A0" title="Tasso di mortalità – Italiaans" lang="it" hreflang="it" data-title="Tasso di mortalità" data-language-autonym="Italiano" data-language-local-name="Italiaans" 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/%E6%AD%BB%E4%BA%A1%E7%8E%87" title="死亡率 – Japans" lang="ja" hreflang="ja" data-title="死亡率" data-language-autonym="日本語" data-language-local-name="Japans" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Isig_n_tmekkast" title="Isig n tmekkast – Kabylisch" lang="kab" hreflang="kab" data-title="Isig n tmekkast" data-language-autonym="Taqbaylit" data-language-local-name="Kabylisch" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D3%A8%D0%BB%D1%96%D0%BC-%D0%B6%D0%B5%D1%82%D1%96%D0%BC" title="Өлім-жетім – Kazachs" lang="kk" hreflang="kk" data-title="Өлім-жетім" data-language-autonym="Қазақша" data-language-local-name="Kazachs" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%82%AC%EB%A7%9D%EB%A5%A0" title="사망률 – Koreaans" lang="ko" hreflang="ko" data-title="사망률" data-language-autonym="한국어" data-language-local-name="Koreaans" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D3%A8%D0%BB%D2%AF%D0%BC%D0%B4%D2%AF%D2%AF%D0%BB%D2%AF%D0%BA" title="Өлүмдүүлүк – Kirgizisch" lang="ky" hreflang="ky" data-title="Өлүмдүүлүк" data-language-autonym="Кыргызча" data-language-local-name="Kirgizisch" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/Sjtie%C3%ABfteciefer" title="Sjtieëfteciefer – Limburgs" lang="li" hreflang="li" data-title="Sjtieëfteciefer" data-language-autonym="Limburgs" data-language-local-name="Limburgs" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Mirtingumas" title="Mirtingumas – Litouws" lang="lt" hreflang="lt" data-title="Mirtingumas" data-language-autonym="Lietuvių" data-language-local-name="Litouws" 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/Mirst%C4%ABbas_l%C4%ABmenis" title="Mirstības līmenis – Lets" lang="lv" hreflang="lv" data-title="Mirstības līmenis" data-language-autonym="Latviešu" data-language-local-name="Lets" 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%A1%D1%82%D0%B0%D0%BF%D0%BA%D0%B0_%D0%BD%D0%B0_%D1%81%D0%BC%D1%80%D1%82%D0%BD%D0%BE%D1%81%D1%82" title="Стапка на смртност – Macedonisch" lang="mk" hreflang="mk" data-title="Стапка на смртност" data-language-autonym="Македонски" data-language-local-name="Macedonisch" 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/Kadar_kematian" title="Kadar kematian – Maleis" lang="ms" hreflang="ms" data-title="Kadar kematian" data-language-autonym="Bahasa Melayu" data-language-local-name="Maleis" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%AE%E0%A5%83%E0%A4%A4%E0%A5%8D%E0%A4%AF%E0%A5%81%E0%A4%A6%E0%A4%B0" title="मृत्युदर – Nepalees" lang="ne" hreflang="ne" data-title="मृत्युदर" data-language-autonym="नेपाली" data-language-local-name="Nepalees" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Mortalitet" title="Mortalitet – Noors - Nynorsk" lang="nn" hreflang="nn" data-title="Mortalitet" data-language-autonym="Norsk nynorsk" data-language-local-name="Noors - Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/D%C3%B8dsrate" title="Dødsrate – Noors - Bokmål" lang="nb" hreflang="nb" data-title="Dødsrate" data-language-autonym="Norsk bokmål" data-language-local-name="Noors - 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/Umieralno%C5%9B%C4%87" title="Umieralność – Pools" lang="pl" hreflang="pl" data-title="Umieralność" data-language-autonym="Polski" data-language-local-name="Pools" 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/Taxa_de_mortalidade" title="Taxa de mortalidade – Portugees" lang="pt" hreflang="pt" data-title="Taxa de mortalidade" data-language-autonym="Português" data-language-local-name="Portugees" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Mortalitate" title="Mortalitate – Roemeens" lang="ro" hreflang="ro" data-title="Mortalitate" data-language-autonym="Română" data-language-local-name="Roemeens" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A1%D0%BC%D0%B5%D1%80%D1%82%D0%BD%D0%BE%D1%81%D1%82%D1%8C" title="Смертность – Russisch" lang="ru" hreflang="ru" data-title="Смертность" data-language-autonym="Русский" data-language-local-name="Russisch" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Mortalitet" title="Mortalitet – Servo-Kroatisch" lang="sh" hreflang="sh" data-title="Mortalitet" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Servo-Kroatisch" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%B8%E0%B6%BB%E0%B6%AB_%E0%B6%85%E0%B6%B1%E0%B7%94%E0%B6%B4%E0%B7%8F%E0%B6%AD%E0%B6%BA" title="මරණ අනුපාතය – Singalees" lang="si" hreflang="si" data-title="මරණ අනුපාතය" data-language-autonym="සිංහල" data-language-local-name="Singalees" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Mortality_rate" title="Mortality rate – Simple English" lang="en-simple" hreflang="en-simple" data-title="Mortality rate" 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/%C3%9Amrtnos%C5%A5" title="Úmrtnosť – Slowaaks" lang="sk" hreflang="sk" data-title="Úmrtnosť" data-language-autonym="Slovenčina" data-language-local-name="Slowaaks" 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/Umrljivost" title="Umrljivost – Sloveens" lang="sl" hreflang="sl" data-title="Umrljivost" data-language-autonym="Slovenščina" data-language-local-name="Sloveens" 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src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7f/Mortality_Rate_Map_by_Country.svg/300px-Mortality_Rate_Map_by_Country.svg.png" decoding="async" width="300" height="154" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7f/Mortality_Rate_Map_by_Country.svg/450px-Mortality_Rate_Map_by_Country.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7f/Mortality_Rate_Map_by_Country.svg/600px-Mortality_Rate_Map_by_Country.svg.png 2x" data-file-width="1104" data-file-height="566" /></a><figcaption>Sterftecijfer per 1000 inwoners (grafisch)</figcaption></figure> <p>Het <b>sterftecijfer</b> (of het <b>sterftegetal</b>, de <b>mortaliteit</b>) is het aantal sterfgevallen per tijdseenheid in een <a href="/wiki/Populatie_(biologie)" title="Populatie (biologie)">populatie</a> in verhouding tot het aantal individuen in die populatie. </p><p>Bij de mens wordt het vaak uitgedrukt in sterfgevallen per 1000 inwoners per jaar. Het kan gaan om een aantal van de gehele bevolking of alleen binnen een bepaalde groep en het kan gaan over doden in het algemeen of specifiek als gevolg van een bepaalde <a href="/wiki/Ziekte" title="Ziekte">ziekte</a>. </p><p>Het kan gaan om gerealiseerde sterftecijfers, maar ook om prognoses voor toekomstige jaren. </p><p>Als men eenvoudig spreekt over het sterftecijfer of het <i>bruto sterftecijfer</i> in een <a href="/wiki/Land_(geografie)" title="Land (geografie)">land</a>, bedoelt men het recente sterftecijfer voor de gehele <a href="/wiki/Bevolking" title="Bevolking">bevolking</a> van dat land. </p><p>Dit bruto sterftecijfer kan overigens een misleidende indruk geven. Bijvoorbeeld kan het aantal sterfgevallen per 1000 mensen hoger zijn voor ontwikkelde naties dan in minder ontwikkelde landen, ondanks dat de gezondheidsstandaard beter is in ontwikkelde landen. Dit komt doordat in ontwikkelde landen meer oudere mensen zijn, die in een bepaald jaar een hogere kans hebben om dood te gaan dan jongeren, zodat het totale sterftecijfer hoger kan zijn. Een vollediger beeld van <a href="/wiki/Mortaliteit" class="mw-redirect" title="Mortaliteit">mortaliteit</a> wordt gegeven door een "<a href="/wiki/Sterftetafel" title="Sterftetafel">sterftetafel</a>" die afzonderlijke mortaliteit op elke leeftijd samenvat. Een sterftetafel is noodzakelijk om een goede raming van de <a href="/wiki/Levensverwachting" title="Levensverwachting">levensverwachting</a> te geven. </p><p>Om sterftecijfers in <a href="/wiki/Ziekenhuis" title="Ziekenhuis">ziekenhuizen</a> te vergelijken is de <a href="/wiki/Hospital_Standardized_Mortality_Ratio" title="Hospital Standardized Mortality Ratio">Hospital Standardized Mortality Ratio</a> (HSMR) ontwikkeld. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Statistieken">Statistieken</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sterftecijfer&veaction=edit&section=1" title="Bewerk dit kopje: Statistieken" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Sterftecijfer&action=edit&section=1" title="De broncode bewerken van de sectie: Statistieken"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Nederland_in_verhouding_tot_Europa">Nederland in verhouding tot Europa</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sterftecijfer&veaction=edit&section=2" title="Bewerk dit kopje: Nederland in verhouding tot Europa" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Sterftecijfer&action=edit&section=2" title="De broncode bewerken van de sectie: Nederland in verhouding tot Europa"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Het sterftecijfer van <a href="/wiki/Nederland" title="Nederland">Nederland</a> is met 8,5 (2013) lager dan het gemiddelde sterftecijfer in de Europese landen. Gemiddeld stierven er in de <a href="/wiki/Europese_Unie" title="Europese Unie">Europese Unie</a> 9,7 mensen per 1000 inwoners in 2008. In <a href="/wiki/Bulgarije" title="Bulgarije">Bulgarije</a> is het sterftecijfer met 14,3 (2013) het hoogst. In Ierland is het sterftecijfer het laagst met 6,4 (2013). </p> <div class="mw-heading mw-heading3"><h3 id="Sterftecijfers_in_Nederland">Sterftecijfers in Nederland</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sterftecijfer&veaction=edit&section=3" title="Bewerk dit kopje: Sterftecijfers in Nederland" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Sterftecijfer&action=edit&section=3" title="De broncode bewerken van de sectie: Sterftecijfers in Nederland"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Uit de statistieken blijkt dat de meeste sterfgevallen plaatsvinden in de provincie <a href="/wiki/Zeeland_(provincie)" title="Zeeland (provincie)">Zeeland</a>, met 9,6 personen per 1000 inwoners (2004, CBS Doodsoorzakenstatistiek). Zeeland heeft een hoog percentage 65-plussers. </p><p>De gemeente met het hoogste sterftecijfer is <a href="/wiki/Warmond" title="Warmond">Warmond</a>, met in de periode 2000-2004 21,5 mensen per 1000 inwoners. </p><p><a href="/wiki/Flevoland" title="Flevoland">Flevoland</a> heeft het kleinste aantal sterfgevallen in Nederland. In 2004 stierven er 5,1 per 1000 inwoners. De gemeente <a href="/wiki/Zeewolde" title="Zeewolde">Zeewolde</a> heeft 3,3 sterfgevallen per 1000 inwoners en heeft daarmee het laagste gemeentelijke sterftecijfer van Nederland. Het lage sterftecijfer wordt veroorzaakt door een laag aandeel ouderen in Flevoland. </p> <div class="mw-heading mw-heading3"><h3 id="Zuigelingensterfte">Zuigelingensterfte</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sterftecijfer&veaction=edit&section=4" title="Bewerk dit kopje: Zuigelingensterfte" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Sterftecijfer&action=edit&section=4" title="De broncode bewerken van de sectie: Zuigelingensterfte"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Het <b><a href="/wiki/Kindersterfte" title="Kindersterfte">kindersterftecijfer</a></b> is het jaarlijkse aantal sterfgevallen van kinderen jonger dan vijf jaar oud per duizend levendgeborenen. Gaat het om kinderen jonger dan één jaar oud, dan spreekt men van het <b>zuigelingensterftecijfer</b>. </p><p>De tien landen met het hoogste zuigelingensterftecijfer, volgens schatting van 2017, zijn:<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> </p> <table class="wikitable"> <tbody><tr> <th>Land </th> <th>Zuigelingensterftecijfer </th></tr> <tr> <td><a href="/wiki/Afghanistan" title="Afghanistan">Afghanistan</a> </td> <td>110,6 </td></tr> <tr> <td><a href="/wiki/Somali%C3%AB" title="Somalië">Somalië</a> </td> <td>94,8 </td></tr> <tr> <td><a href="/wiki/Centraal-Afrikaanse_Republiek" title="Centraal-Afrikaanse Republiek">Centraal-Afrikaanse Republiek</a> </td> <td>86,3 </td></tr> <tr> <td><a href="/wiki/Guinee-Bissau" title="Guinee-Bissau">Guinee-Bissau</a> </td> <td>85,7 </td></tr> <tr> <td><a href="/wiki/Tsjaad" title="Tsjaad">Tsjaad</a> </td> <td>85,4 </td></tr> <tr> <td><a href="/wiki/Niger_(land)" title="Niger (land)"> Niger</a> </td> <td>81,1 </td></tr> <tr> <td><a href="/wiki/Burkina_Faso" title="Burkina Faso">Burkina Faso</a> </td> <td>72,2 </td></tr> <tr> <td><a href="/wiki/Nigeria" title="Nigeria">Nigeria</a> </td> <td>69,8 </td></tr> <tr> <td><a href="/wiki/Mali" title="Mali">Mali</a> </td> <td>69,5 </td></tr> <tr> <td><a href="/wiki/Sierra_Leone" title="Sierra Leone">Sierra Leone</a> </td> <td>68,4 </td></tr></tbody></table> <p>De zuigelingensterfte is in Nederland, in de periode van 1980 tot en met 2022, teruggelopen van 8,6 tot 3,2 per duizend.<sup id="cite_ref-staatvenz.nl_2-0" class="reference"><a href="#cite_note-staatvenz.nl-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Verschil_tussen_man_en_vrouw">Verschil tussen man en vrouw</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sterftecijfer&veaction=edit&section=5" title="Bewerk dit kopje: Verschil tussen man en vrouw" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Sterftecijfer&action=edit&section=5" title="De broncode bewerken van de sectie: Verschil tussen man en vrouw"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Gemiddeld is de totale sterfte onder mannen ongeveer anderhalf keer zo hoog als onder vrouwen. Uiteraard zijn er verschillen per land. </p><p>In Polen is bijvoorbeeld het sterftecijfer onder mannen 12,2 per 1000 inwoners terwijl onder vrouwen het sterftecijfer 6,8 per 1000 is. </p><p>In Nederland is dat 8,8 en 5,6 per 1000 voor mannen en vrouwen respectievelijk. </p><p>In de EU mag dit verschil geen rol spelen bij pensioenpremies en -uitkeringen, en sinds eind 2012 ook niet bij premies en uitkeringen van overlijdensrisicoverzekeringen en lijfrenten. </p> <div class="mw-heading mw-heading2"><h2 id="Force_of_mortality"><i>Force of mortality</i></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sterftecijfer&veaction=edit&section=6" title="Bewerk dit kopje: Force of mortality" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Sterftecijfer&action=edit&section=6" title="De broncode bewerken van de sectie: Force of mortality"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>De <i>force of mortality</i> <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 \mu }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>μ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9fd47b2a39f7a7856952afec1f1db72c67af6161" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.402ex; height:2.176ex;" alt="{\displaystyle \mu }"></span> van een bepaalde populatie is het instantane sterftecijfer per tijdseenheid (de limiet, als het tijdsinterval naar nul gaat, van de kans op sterven in een tijdsinterval bij iemand die aan het begin van het tijdsinterval nog leeft, gedeeld door de lengte van het tijdsinterval). Deze hangt statistisch onder meer af van de leeftijd en het tijdstip (beide als continue variabele). Als het een populatie is van mensen met een bepaalde geboortedatum dan zijn de variabelen gekoppeld en is de tijd als variabele voldoende. Als het gaat om kansrekening met betrekking tot een bepaald persoon dan geldt dit uiteraard ook. </p><p>In een tijdsinterval waarin de <i>force of mortality</i> constant verondersteld wordt komt deze overeen met de <a href="/wiki/Vervalconstante" class="mw-redirect" title="Vervalconstante">vervalconstante</a> (tevens de afnameconstante van de <a href="/wiki/Exponenti%C3%ABle_afname" title="Exponentiële afname">exponentiële afname</a>), en neemt de kans voor een persoon die op een bepaald tijdstip leeft, om op een bepaalde latere tijd in het tijdsinterval nog te leven exponentieel af als functie van die latere tijd. Als de geboortedatum 1 januari van enig jaar is, is er de vereenvoudige situatie dat de leeftijd als geheel getal tegelijk met het kalenderjaar wisselt. De <i>force of mortality</i> zou bijvoorbeeld constant kunnen worden aangenomen per kalenderjaar, wat dan op hetzelfde neerkomt als per leeftijdsjaar. De kans om op een bepaalde tijd nog te leven is dan een continue, stuksgewijs exponentieel dalende functie. </p><p>In het algemene geval geldt voor de overlevingskans op tijd <i>x + t</i> van mensen met een bepaalde geboortedatum die op tijd <i>x</i> leven dat die geschreven kan worden als </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 S_{x}(t)=e^{-\int _{x}^{x+t}\mu (y)\,dy}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> <mo>+</mo> <mi>t</mi> </mrow> </msubsup> <mi>μ</mi> <mo stretchy="false">(</mo> <mi>y</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> <mi>d</mi> <mi>y</mi> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S_{x}(t)=e^{-\int _{x}^{x+t}\mu (y)\,dy}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c5f2aa7f9bc350213f3341d025101d008770a742" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:20.383ex; height:3.676ex;" alt="{\displaystyle S_{x}(t)=e^{-\int _{x}^{x+t}\mu (y)\,dy}}"></span></dd></dl> <p>Het sterftecijfer, uitgedrukt als fractie per jaar, is dus, met <i>x</i> het begin van het jaar, en met de tijden in jaren: </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 1-e^{-\int _{x}^{x+1}\mu (y)\,dy}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1</mn> <mo>−</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> <mo>+</mo> <mn>1</mn> </mrow> </msubsup> <mi>μ</mi> <mo stretchy="false">(</mo> <mi>y</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> <mi>d</mi> <mi>y</mi> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1-e^{-\int _{x}^{x+1}\mu (y)\,dy}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/39d9feae4f1f0977fbfb8a6925b803fa00866a96" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:16.226ex; height:3.343ex;" alt="{\displaystyle 1-e^{-\int _{x}^{x+1}\mu (y)\,dy}}"></span></dd></dl> <p>De resterende <a href="/wiki/Levensverwachting" title="Levensverwachting">levensverwachting</a> op tijd <i>x</i> van iemand die dan leeft is: </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 \int _{0}^{\infty }e^{-\int _{x}^{x+t}\mu (y)\,dy}\,dt}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞</mi> </mrow> </msubsup> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> <mo>+</mo> <mi>t</mi> </mrow> </msubsup> <mi>μ</mi> <mo stretchy="false">(</mo> <mi>y</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> <mi>d</mi> <mi>y</mi> </mrow> </msup> <mspace width="thinmathspace" /> <mi>d</mi> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \int _{0}^{\infty }e^{-\int _{x}^{x+t}\mu (y)\,dy}\,dt}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fe4a753d7d481453cc55cea679b68018423fb0da" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:19.207ex; height:5.843ex;" alt="{\displaystyle \int _{0}^{\infty }e^{-\int _{x}^{x+t}\mu (y)\,dy}\,dt}"></span></dd></dl> <p><b>Voorbeeld 1:</b> </p><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 \mu }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>μ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9fd47b2a39f7a7856952afec1f1db72c67af6161" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.402ex; height:2.176ex;" alt="{\displaystyle \mu }"></span> is constant. Het sterftecijfer is steeds: </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 1-e^{-\mu }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1</mn> <mo>−</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mi>μ</mi> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1-e^{-\mu }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6ba30f33d4236760f6a4f1b751787913d1dd336c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:7.588ex; height:2.676ex;" alt="{\displaystyle 1-e^{-\mu }}"></span></dd></dl> <p>De resterende levensverwachting is steeds <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 1/\mu }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>μ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1/\mu }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ba5adf56cfb04456c1ae9dbadb528b7929aa3338" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.727ex; height:2.843ex;" alt="{\displaystyle 1/\mu }"></span> (corresponderend met het begrip <a href="/wiki/Vervaltijd" class="mw-redirect" title="Vervaltijd">vervaltijd</a>), onafhankelijk van <i>x</i>. </p><p><b>Voorbeeld 2:</b> </p><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 \mu }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>μ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9fd47b2a39f7a7856952afec1f1db72c67af6161" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.402ex; height:2.176ex;" alt="{\displaystyle \mu }"></span> is gedurende een jaar <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 \mu _{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu _{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d6899621035d3359b9c1c064739b54c7004e220d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.456ex; height:2.176ex;" alt="{\displaystyle \mu _{1}}"></span> en daarna <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 \mu _{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu _{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2f841461ae8f2eafec3fe879f7c061a73c2f7170" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.456ex; height:2.176ex;" alt="{\displaystyle \mu _{2}}"></span>. Het sterftecijfer is het eerste jaar </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 1-e^{-\mu _{1}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1</mn> <mo>−</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1-e^{-\mu _{1}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e8ec72135cd41869454b95c0c7df7745e08eceb8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:8.42ex; height:2.676ex;" alt="{\displaystyle 1-e^{-\mu _{1}}}"></span></dd></dl> <p>en daarna </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 1-e^{-\mu _{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1</mn> <mo>−</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1-e^{-\mu _{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bbcc02943a365e52bfcdf420dfb3a4c451df4892" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:8.42ex; height:2.676ex;" alt="{\displaystyle 1-e^{-\mu _{2}}}"></span></dd></dl> <p>De resterende levensverwachting vanaf het tweede jaar is steeds <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 1/\mu _{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1/\mu _{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6e9531164b2b150c120279c91a255a6ae1212b90" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.781ex; height:2.843ex;" alt="{\displaystyle 1/\mu _{2}}"></span>. Op een tijdstip <i>x</i> in het eerste jaar is deze: </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 \int _{0}^{1-x}e^{-t\mu _{1}}\,dt+\int _{1-x}^{\infty }e^{-\int _{x}^{1}\mu _{1}\,dy-\int _{1}^{x+t}\mu _{2}\,dy}\,dt}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>−</mo> <mi>x</mi> </mrow> </msubsup> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mi>t</mi> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> </msup> <mspace width="thinmathspace" /> <mi>d</mi> <mi>t</mi> <mo>+</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>−</mo> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞</mi> </mrow> </msubsup> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msubsup> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mspace width="thinmathspace" /> <mi>d</mi> <mi>y</mi> <mo>−</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> <mo>+</mo> <mi>t</mi> </mrow> </msubsup> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mspace width="thinmathspace" /> <mi>d</mi> <mi>y</mi> </mrow> </msup> <mspace width="thinmathspace" /> <mi>d</mi> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \int _{0}^{1-x}e^{-t\mu _{1}}\,dt+\int _{1-x}^{\infty }e^{-\int _{x}^{1}\mu _{1}\,dy-\int _{1}^{x+t}\mu _{2}\,dy}\,dt}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2210d7934873cc0ea5bed8973f421226e697d217" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:42.041ex; height:6.343ex;" alt="{\displaystyle \int _{0}^{1-x}e^{-t\mu _{1}}\,dt+\int _{1-x}^{\infty }e^{-\int _{x}^{1}\mu _{1}\,dy-\int _{1}^{x+t}\mu _{2}\,dy}\,dt}"></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 =(1-e^{(x-1)\mu _{1}})/\mu _{1}+\int _{1-x}^{\infty }e^{(x-1)\mu _{1}-(x+t-1)\mu _{2}}\,dt}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>=</mo> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>x</mi> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> </msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>−</mo> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞</mi> </mrow> </msubsup> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>x</mi> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>−</mo> <mo stretchy="false">(</mo> <mi>x</mi> <mo>+</mo> <mi>t</mi> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> </msup> <mspace width="thinmathspace" /> <mi>d</mi> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle =(1-e^{(x-1)\mu _{1}})/\mu _{1}+\int _{1-x}^{\infty }e^{(x-1)\mu _{1}-(x+t-1)\mu _{2}}\,dt}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dacb8dc9b3b5d435810f1ddf41d4f528ce630a53" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:46.33ex; height:6.009ex;" alt="{\displaystyle =(1-e^{(x-1)\mu _{1}})/\mu _{1}+\int _{1-x}^{\infty }e^{(x-1)\mu _{1}-(x+t-1)\mu _{2}}\,dt}"></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 =(1-e^{(x-1)\mu _{1}})/\mu _{1}+e^{(x-1)\mu _{1}}/\mu _{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>=</mo> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>x</mi> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> </msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>x</mi> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> </msup> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle =(1-e^{(x-1)\mu _{1}})/\mu _{1}+e^{(x-1)\mu _{1}}/\mu _{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/88b9fbb4f7e88dd88d502f3d8d7a95f50dc3759c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:33.26ex; height:3.343ex;" alt="{\displaystyle =(1-e^{(x-1)\mu _{1}})/\mu _{1}+e^{(x-1)\mu _{1}}/\mu _{2}}"></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 =1/\mu _{1}+(1/\mu _{2}-1/\mu _{1})e^{(x-1)\mu _{1}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>=</mo> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <mo stretchy="false">(</mo> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>−</mo> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo stretchy="false">)</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>x</mi> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle =1/\mu _{1}+(1/\mu _{2}-1/\mu _{1})e^{(x-1)\mu _{1}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eb4d4de1a5be5f27943e4220229d96675b72ad42" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:31.744ex; height:3.343ex;" alt="{\displaystyle =1/\mu _{1}+(1/\mu _{2}-1/\mu _{1})e^{(x-1)\mu _{1}}}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Prognosemodel_van_het_AG">Prognosemodel van het AG</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sterftecijfer&veaction=edit&section=7" title="Bewerk dit kopje: Prognosemodel van het AG" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Sterftecijfer&action=edit&section=7" title="De broncode bewerken van de sectie: Prognosemodel van het AG"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Het <a href="/wiki/Koninklijk_Actuarieel_Genootschap" class="mw-redirect" title="Koninklijk Actuarieel Genootschap">Koninklijk Actuarieel Genootschap</a> (AG) definieert in het prognosemodel AG2018 de eenjarige sterftekans <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 q_{x}(t)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>q</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle q_{x}(t)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9d91adf409a8c2d0c535885b78319fdd9122caf3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.858ex; height:2.843ex;" alt="{\displaystyle q_{x}(t)}"></span>, met <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}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span> en <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 t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65658b7b223af9e1acc877d848888ecdb4466560" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.84ex; height:2.009ex;" alt="{\displaystyle t}"></span> gehele getallen, als de kans dat iemand die op 1 januari van het jaar <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 t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65658b7b223af9e1acc877d848888ecdb4466560" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.84ex; height:2.009ex;" alt="{\displaystyle t}"></span> leeft en op 1 januari van het jaar <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 t-x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>t</mi> <mo>−</mo> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle t-x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/26da6865450ca0b872cb64f6f4df287cb3ad80f9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.01ex; height:2.176ex;" alt="{\displaystyle t-x}"></span> geboren werd, op 1 januari van het jaar <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 t+1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>t</mi> <mo>+</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle t+1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ab2785d8415d6902b0c93efe1419c4bc3ce4643d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:4.842ex; height:2.343ex;" alt="{\displaystyle t+1}"></span> gestorven zal zijn. Het gaat dus om de sterfte in jaar <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 t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65658b7b223af9e1acc877d848888ecdb4466560" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.84ex; height:2.009ex;" alt="{\displaystyle t}"></span> van mensen die op 1 januari van dat jaar <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}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span> jaar worden. Als <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 q_{x}(t)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>q</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle q_{x}(t)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9d91adf409a8c2d0c535885b78319fdd9122caf3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.858ex; height:2.843ex;" alt="{\displaystyle q_{x}(t)}"></span> met 1000 wordt vermenigvuldigd krijgt men het verwachte aantal overledenen per 1000 mensen. </p><p>De <i>force of mortality</i> <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 \mu _{x}(t)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu _{x}(t)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/054dba062489dae988c5c71bfd8c5cc18bfb4420" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.223ex; height:2.843ex;" alt="{\displaystyle \mu _{x}(t)}"></span> is de limiet, als het tijdsinterval naar nul gaat, van de in een tijdsinterval stervende mensen als fractie van het aantal mensen aan het begin van het tijdsinterval, gedeeld door het tijdsinterval in jaren. Daarbij is <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 t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65658b7b223af9e1acc877d848888ecdb4466560" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.84ex; height:2.009ex;" alt="{\displaystyle t}"></span> de continue tijd in jaren (op 1 januari gelijk aan het jaartal) en <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}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span> de continue leeftijd. Deze <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 \mu _{x}(t)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu _{x}(t)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/054dba062489dae988c5c71bfd8c5cc18bfb4420" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.223ex; height:2.843ex;" alt="{\displaystyle \mu _{x}(t)}"></span> wordt in het model van AG per kalenderjaar constant verondersteld, en is dan binnen elk jaar de <a href="/wiki/Vervalconstante" class="mw-redirect" title="Vervalconstante">vervalconstante</a> van het aantal nog levenden. Er geldt dan voor gehele <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 t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65658b7b223af9e1acc877d848888ecdb4466560" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.84ex; height:2.009ex;" alt="{\displaystyle t}"></span> en <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}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span>:<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </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 q_{x}(t)=1-e^{-\mu _{x}(t)}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>q</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mn>1</mn> <mo>−</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle q_{x}(t)=1-e^{-\mu _{x}(t)}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/68ab69216807b3dc4fecff89f0cbd57f2fe9223c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:18.346ex; height:3.343ex;" alt="{\displaystyle q_{x}(t)=1-e^{-\mu _{x}(t)}}"></span></dd></dl> <p>Hiermee kunnen de sterftekans in een jaar en de <i>force of mortality</i> (binnen het jaar constant verondersteld) dus in elkaar omgerekend worden. Bij een sterftekans van 0,1 is de <i>force of mortality</i> bijvoorbeeld 0,10536. </p> <div class="mw-heading mw-heading2"><h2 id="Zie_ook">Zie ook</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sterftecijfer&veaction=edit&section=8" title="Bewerk dit kopje: Zie ook" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Sterftecijfer&action=edit&section=8" title="De broncode bewerken van de sectie: Zie ook"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Populatiebiologie" title="Populatiebiologie">Populatiebiologie</a></li> <li><a href="/wiki/Geboortecijfer" title="Geboortecijfer">Geboortecijfer</a></li> <li><a href="/wiki/Micromort" title="Micromort">Micromort</a></li> <li><a href="/wiki/Demografie" title="Demografie">Demografie</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Externe_links">Externe links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sterftecijfer&veaction=edit&section=9" title="Bewerk dit kopje: Externe links" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Sterftecijfer&action=edit&section=9" title="De broncode bewerken van de sectie: Externe links"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://www.zorgatlas.nl/beinvloedende-factoren/demografie/geboorte-en-sterfte/sterftecijfer-per-gemeente/">Kaart sterftecijfer gemeentes Nederland</a></li> <li><a rel="nofollow" class="external text" href="https://epistat.wiv-isp.be/momo/">Monitoring van het sterftecijfer in België</a> - <a href="/wiki/Sciensano" title="Sciensano">Sciensano</a></li> <li><a rel="nofollow" class="external text" href="https://www.euromomo.eu/">EUROMOMO - Monitoring van het sterftecijfer in Europa</a></li></ul> <div class="toccolours appendix" role="presentation" style="font-size:90%; margin:1em 0 -0.5em; clear:both;"> <div><span style="font-weight:bold">Bronnen, noten en/of referenties</span></div> <ul><li><i><a rel="nofollow" class="external text" href="https://www.rivm.nl/monitoring-sterftecijfers-nederland">RIVM</a></i></li></ul> <hr /> <div class="reflist" style="list-style-type: decimal;"><div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20210104020112/https://www.cia.gov/library/publications/the-world-factbook/rankorder/2091rank.html"><i>World Factbook 2018</i></a>, CIA</span> </li> <li id="cite_note-staatvenz.nl-2"><span class="mw-cite-backlink"><a href="#cite_ref-staatvenz.nl_2-0">↑</a></span> <span class="reference-text"> <span class="citation" id="CITEREF2023"><a rel="nofollow" class="external text" href="https://www.staatvenz.nl/kerncijfers/sterfte-zuigelingen">Sterfte: zuigelingen</a>. <i>De Staat van Volksgezondheid en Zorg</i> (<span class="mw-formatted-date" title="2023-09-15">15 september 2023</span>). <a rel="nofollow" class="external text" href="https://archive.today/20240113141913/https://www.staatvenz.nl/kerncijfers/sterfte-zuigelingen">Gearchiveerd</a> op <span class="mw-formatted-date" title="2024-01-13">13 januari 2024</span>. Geraadpleegd op <span class="mw-formatted-date" title="2024-01-13">13 januari 2024</span>. “Het aantal levendgeborenen dat overlijdt voor de eerste verjaardag is 3,2 per 1.000” </span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text"><span class="citation"><a rel="nofollow" class="external text" href="https://www.ag-ai.nl/view/41122-PrognosetafelAG2018.pdf">Prognosetafel AG2018</a>. Koninklijk Actuarieel Genootschap. </span></span> </li> </ol></div></div> </div> <div class="interProject wiktionary mw-list-item" style="display:none;"><a href="https://nl.wiktionary.org/wiki/sterftecijfer" class="extiw" title="wikt:sterftecijfer">WikiWoordenboek</a></div> <div class="interProjectTemplate interProject-groot toccolours" style="display:flex; gap:1em; align-items:center; clear:both; margin:1em 0 -0.5em 0;"> <div style="min-width:max-content;"><span class="noviewer noresize" typeof="mw:File"><a href="/wiki/Bestand:Wiktionary-logo.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Wiktionary-logo.svg/25px-Wiktionary-logo.svg.png" decoding="async" width="25" height="24" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Wiktionary-logo.svg/38px-Wiktionary-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Wiktionary-logo.svg/50px-Wiktionary-logo.svg.png 2x" data-file-width="370" data-file-height="350" /></a></span></div> <div>Zoek <i><b><a href="https://nl.wiktionary.org/wiki/sterftecijfer" class="extiw" title="wikt:sterftecijfer">sterftecijfer</a></b></i> op in het <a href="/wiki/Wiktionary" title="Wiktionary">WikiWoordenboek</a>.</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="">Overgenomen van "<a dir="ltr" href="https://nl.wikipedia.org/w/index.php?title=Sterftecijfer&oldid=67542864">https://nl.wikipedia.org/w/index.php?title=Sterftecijfer&oldid=67542864</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Categorie:Alles" title="Categorie:Alles">Categorie</a>: <ul><li><a href="/wiki/Categorie:Demografie" title="Categorie:Demografie">Demografie</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Deze pagina is voor het laatst bewerkt op 18 mei 2024 om 00:19.</li> <li id="footer-info-copyright">De tekst is beschikbaar onder de licentie <a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/deed.nl">Creative Commons Naamsvermelding/Gelijk delen</a>, er kunnen aanvullende voorwaarden van toepassing zijn. 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