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隨機變數匯合 - 維基百科,自由嘅百科全書
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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-21" 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">21種語言</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%82%D8%A7%D8%B1%D8%A8_%D8%A7%D9%84%D9%85%D8%AA%D8%BA%D9%8A%D8%B1%D8%A7%D8%AA_%D8%A7%D9%84%D8%B9%D8%B4%D9%88%D8%A7%D8%A6%D9%8A%D8%A9" title="تقارب المتغيرات العشوائية – 阿拉伯文" lang="ar" hreflang="ar" data-title="تقارب المتغيرات العشوائية" data-language-autonym="العربية" data-language-local-name="阿拉伯文" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Converg%C3%A8ncia_de_variables_aleat%C3%B2ries" title="Convergència de variables aleatòries – 加泰羅尼亞文" lang="ca" hreflang="ca" data-title="Convergència de variables aleatòries" data-language-autonym="Català" data-language-local-name="加泰羅尼亞文" 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/Konvergence_n%C3%A1hodn%C3%BDch_prom%C4%9Bnn%C3%BDch" title="Konvergence náhodných proměnných – 捷克文" lang="cs" hreflang="cs" data-title="Konvergence náhodných proměnných" data-language-autonym="Čeština" data-language-local-name="捷克文" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Konvergenz_(Stochastik)" title="Konvergenz (Stochastik) – 德文" lang="de" hreflang="de" data-title="Konvergenz (Stochastik)" data-language-autonym="Deutsch" data-language-local-name="德文" 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%A3%CF%8D%CE%B3%CE%BA%CE%BB%CE%B9%CF%83%CE%B7_%CF%84%CF%85%CF%87%CE%B1%CE%AF%CF%89%CE%BD_%CE%BC%CE%B5%CF%84%CE%B1%CE%B2%CE%BB%CE%B7%CF%84%CF%8E%CE%BD" title="Σύγκλιση τυχαίων μεταβλητών – 希臘文" lang="el" hreflang="el" data-title="Σύγκλιση τυχαίων μεταβλητών" data-language-autonym="Ελληνικά" data-language-local-name="希臘文" 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/Convergence_of_random_variables" title="Convergence of random variables – 英文" lang="en" hreflang="en" data-title="Convergence of random variables" data-language-autonym="English" data-language-local-name="英文" 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/Convergencia_de_variables_aleatorias" title="Convergencia de variables aleatorias – 西班牙文" lang="es" hreflang="es" data-title="Convergencia de variables aleatorias" data-language-autonym="Español" data-language-local-name="西班牙文" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Konbergentzia_estokastiko" title="Konbergentzia estokastiko – 巴斯克文" lang="eu" hreflang="eu" data-title="Konbergentzia estokastiko" data-language-autonym="Euskara" data-language-local-name="巴斯克文" 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%87%D9%85%DA%AF%D8%B1%D8%A7%DB%8C%DB%8C_%D9%85%D8%AA%D8%BA%DB%8C%D8%B1%D9%87%D8%A7%DB%8C_%D8%AA%D8%B5%D8%A7%D8%AF%D9%81%DB%8C" title="همگرایی متغیرهای تصادفی – 波斯文" lang="fa" hreflang="fa" data-title="همگرایی متغیرهای تصادفی" data-language-autonym="فارسی" data-language-local-name="波斯文" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Convergence_de_variables_al%C3%A9atoires" title="Convergence de variables aléatoires – 法文" lang="fr" hreflang="fr" data-title="Convergence de variables aléatoires" data-language-autonym="Français" data-language-local-name="法文" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%94%D7%AA%D7%9B%D7%A0%D7%A1%D7%95%D7%AA_(%D7%94%D7%A1%D7%AA%D7%91%D7%A8%D7%95%D7%AA)" title="התכנסות (הסתברות) – 希伯來文" lang="he" hreflang="he" data-title="התכנסות (הסתברות)" data-language-autonym="עברית" data-language-local-name="希伯來文" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Convergenza_di_variabili_casuali" title="Convergenza di variabili casuali – 義大利文" lang="it" hreflang="it" data-title="Convergenza di variabili casuali" data-language-autonym="Italiano" data-language-local-name="義大利文" 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/%E7%A2%BA%E7%8E%87%E5%A4%89%E6%95%B0%E3%81%AE%E5%8F%8E%E6%9D%9F" title="確率変数の収束 – 日文" lang="ja" hreflang="ja" data-title="確率変数の収束" data-language-autonym="日本語" data-language-local-name="日文" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%99%95%EB%A5%A0_%EB%B3%80%EC%88%98%EC%9D%98_%EC%88%98%EB%A0%B4" title="확률 변수의 수렴 – 韓文" lang="ko" hreflang="ko" data-title="확률 변수의 수렴" data-language-autonym="한국어" data-language-local-name="韓文" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Convergentie_(kansrekening)" title="Convergentie (kansrekening) – 荷蘭文" lang="nl" hreflang="nl" data-title="Convergentie (kansrekening)" data-language-autonym="Nederlands" data-language-local-name="荷蘭文" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Zbie%C5%BCno%C5%9B%C4%87_wed%C5%82ug_rozk%C5%82adu" title="Zbieżność według rozkładu – 波蘭文" lang="pl" hreflang="pl" data-title="Zbieżność według rozkładu" data-language-autonym="Polski" data-language-local-name="波蘭文" 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/Converg%C3%AAncia_de_vari%C3%A1veis_aleat%C3%B3rias" title="Convergência de variáveis aleatórias – 葡萄牙文" lang="pt" hreflang="pt" data-title="Convergência de variáveis aleatórias" data-language-autonym="Português" data-language-local-name="葡萄牙文" 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%A1%D1%85%D0%BE%D0%B4%D0%B8%D0%BC%D0%BE%D1%81%D1%82%D1%8C_%D0%BF%D0%BE_%D1%80%D0%B0%D1%81%D0%BF%D1%80%D0%B5%D0%B4%D0%B5%D0%BB%D0%B5%D0%BD%D0%B8%D1%8E" title="Сходимость по распределению – 俄文" lang="ru" hreflang="ru" data-title="Сходимость по распределению" data-language-autonym="Русский" data-language-local-name="俄文" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%97%D0%B1%D1%96%D0%B6%D0%BD%D1%96%D1%81%D1%82%D1%8C_%D0%B2%D0%B8%D0%BF%D0%B0%D0%B4%D0%BA%D0%BE%D0%B2%D0%B8%D1%85_%D0%B2%D0%B5%D0%BB%D0%B8%D1%87%D0%B8%D0%BD" title="Збіжність випадкових величин – 烏克蘭文" lang="uk" hreflang="uk" data-title="Збіжність випадкових величин" data-language-autonym="Українська" data-language-local-name="烏克蘭文" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/S%E1%BB%B1_h%E1%BB%99i_t%E1%BB%A5_c%E1%BB%A7a_c%C3%A1c_bi%E1%BA%BFn_ng%E1%BA%ABu_nhi%C3%AAn" title="Sự hội tụ của các biến ngẫu nhiên – 越南文" lang="vi" hreflang="vi" data-title="Sự hội tụ của các biến ngẫu nhiên" data-language-autonym="Tiếng Việt" data-language-local-name="越南文" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E9%9A%8F%E6%9C%BA%E5%8F%98%E9%87%8F%E7%9A%84%E6%94%B6%E6%95%9B" title="随机变量的收敛 – 中文" lang="zh" hreflang="zh" data-title="随机变量的收敛" data-language-autonym="中文" data-language-local-name="中文" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div 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class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">出自維基百科,自由嘅百科全書</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="yue" dir="ltr"><p><b>隨機變數匯合</b>(<a href="/wiki/%E8%8B%B1%E6%96%87" title="英文">英文</a>:<span lang="en"><b>convergence of random variable</b></span>)係指<a href="/wiki/%E9%9A%A8%E6%A9%9F%E8%AE%8A%E6%95%B8" title="隨機變數">隨機變數</a>有嘅<a href="/wiki/%E6%A5%B5%E9%99%90_(%E5%87%BD%E6%95%B8)" title="極限 (函數)">極限</a>(limit)。如果話某一個隨機變數 <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> 有一個極限,即係指(例如)隨住某個數值 <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 n}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a601995d55609f2d9f5e233e36fbe9ea26011b3b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.395ex; height:1.676ex;" alt="{\displaystyle n}"></span> 變得愈嚟愈大,<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> 嘅數值會慢慢愈嚟愈近(「匯合」)某個數值(設呢個數值做 <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 c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86a67b81c2de995bd608d5b2df50cd8cd7d92455" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.007ex; height:1.676ex;" alt="{\displaystyle c}"></span>,<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 c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86a67b81c2de995bd608d5b2df50cd8cd7d92455" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.007ex; height:1.676ex;" alt="{\displaystyle c}"></span> 係個函數嘅極限)<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> <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 \lim _{n\to \infty }x=c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munder> <mo movablelimits="true" form="prefix">lim</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo stretchy="false">→<!-- → --></mo> <mi mathvariant="normal">∞<!-- ∞ --></mi> </mrow> </munder> <mi>x</mi> <mo>=</mo> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lim _{n\to \infty }x=c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dc21d1b368bfa656bbb0e36569d6b08720046929" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:10.095ex; height:3.676ex;" alt="{\displaystyle \lim _{n\to \infty }x=c}"></span></dd></dl> <p>可以睇吓<a href="/wiki/%E5%A4%A7%E6%95%B8%E5%AE%9A%E5%BE%8B" title="大數定律">大數定律</a>等嘅現象。 </p> <div class="mw-heading mw-heading2"><h2 id="攷"><span id=".E6.94.B7"></span>攷</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E9%9A%A8%E6%A9%9F%E8%AE%8A%E6%95%B8%E5%8C%AF%E5%90%88&action=edit&section=1" title="編輯小節: 攷"><span>編輯</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r2020813">.mw-parser-output .reflist{font-size:90%;margin-bottom:0.5em;list-style-type:decimal}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <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">Billingsley, Patrick (1999). <i>Convergence of probability measures</i> (2nd ed.). John Wiley & Sons. pp. 1–28. </span> </li> </ol></div></div> <div role="navigation" class="navbox" aria-labelledby="概率論" style="padding:3px"><table class="nowraplinks mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="3"><div class="plainlinks hlist navbar mini"><ul><li class="nv-view"><a href="/wiki/Template:%E6%A6%82%E7%8E%87%E8%AB%96" title="Template:概率論"><abbr title="去睇呢個模" style=";;background:none transparent;border:none;-moz-box-shadow:none;-webkit-box-shadow:none;box-shadow:none; padding:0;">睇</abbr></a></li><li class="nv-talk"><a href="/w/index.php?title=Template_talk:%E6%A6%82%E7%8E%87%E8%AB%96&action=edit&redlink=1" class="new" title="Template talk:概率論 (無呢版)"><abbr title="傾呢個模" style=";;background:none transparent;border:none;-moz-box-shadow:none;-webkit-box-shadow:none;box-shadow:none; padding:0;">傾</abbr></a></li><li class="nv-edit"><a class="external text" href="https://zh-yue.wikipedia.org/w/index.php?title=Template:%E6%A6%82%E7%8E%87%E8%AB%96&action=edit"><abbr title="編輯呢個模" style=";;background:none transparent;border:none;-moz-box-shadow:none;-webkit-box-shadow:none;box-shadow:none; 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font-weight:bold;"> ·</span> <a href="/wiki/%E5%B0%8D%E7%AB%8B%E4%BA%8B%E4%BB%B6" title="對立事件">對立事件</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E4%BA%92%E8%A3%9C%E4%BA%8B%E4%BB%B6" title="互補事件">互補事件</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E4%BA%92%E6%96%A5" title="互斥">互斥</a>同<a href="/wiki/%E9%9D%9E%E4%BA%92%E6%96%A5" class="mw-redirect" title="非互斥">非互斥</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%A2%9D%E4%BB%B6%E6%A6%82%E7%8E%87" title="條件概率">條件概率</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E7%8D%A8%E7%AB%8B_(%E6%A6%82%E7%8E%87%E8%AB%96)" title="獨立 (概率論)">獨立</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%A2%9D%E4%BB%B6%E7%8D%A8%E7%AB%8B" title="條件獨立">條件獨立</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/%E9%9A%A8%E6%A9%9F%E9%81%8E%E7%A8%8B" title="隨機過程">隨機過程</a></th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"><a href="/wiki/%E9%9A%A8%E6%A9%9F%E8%AE%8A%E6%95%B8" title="隨機變數">隨機變數</a>(<a href="/wiki/%E6%9C%9F%E6%9C%9B%E5%80%BC" title="期望值">期望值</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a class="mw-selflink selflink">匯合</a>)<span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E9%9A%A8%E6%A9%9F%E6%BC%AB%E6%AD%A5" title="隨機漫步">隨機漫步</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E9%A6%AC%E5%8F%AF%E5%A4%AB%E9%8F%88" title="馬可夫鏈">馬可夫鏈</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E9%A6%AC%E5%8F%AF%E5%A4%AB%E6%B1%BA%E7%AD%96%E9%81%8E%E7%A8%8B" title="馬可夫決策過程">馬可夫決策過程</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E5%B9%B3%E7%A9%A9%E9%81%8E%E7%A8%8B" title="平穩過程">平穩過程</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/%E6%A6%82%E7%8E%87%E5%88%86%E4%BD%88" title="概率分佈">概率分佈</a></th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"><a href="/wiki/%E9%9B%A2%E6%95%A3%E6%A6%82%E7%8E%87%E5%88%86%E4%BD%88" class="mw-redirect" title="離散概率分佈">離散</a>定<a href="/wiki/%E9%80%A3%E7%BA%8C%E6%A6%82%E7%8E%87%E5%88%86%E4%BD%88" class="mw-redirect" title="連續概率分佈">連續</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E4%BC%AF%E5%8A%AA%E5%88%A9%E5%88%86%E4%BD%88" title="伯努利分佈">伯努利</a>同<a href="/wiki/%E4%BA%8C%E9%A0%85%E5%88%86%E4%BD%88" title="二項分佈">二項</a>分佈<span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E5%B8%B8%E6%85%8B%E5%88%86%E4%BD%88" title="常態分佈">常態分佈</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E8%81%AF%E5%90%88%E6%A6%82%E7%8E%87%E5%88%86%E4%BD%88" title="聯合概率分佈">聯合概率分佈</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%A6%82%E7%8E%87%E5%88%86%E4%BD%88%E4%B8%80%E8%A6%BD" title="概率分佈一覽">概率分佈一覽</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">重要定律</th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"><a href="/wiki/%E6%A6%82%E7%8E%87%E9%80%A3%E9%8E%96%E6%B3%95%E5%89%87" title="概率連鎖法則">概率連鎖法則</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E8%B2%9D%E8%91%89%E6%96%AF%E5%AE%9A%E7%90%86" title="貝葉斯定理">貝葉斯定理</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E5%A4%A7%E6%95%B8%E5%AE%9A%E5%BE%8B" title="大數定律">大數定律</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E4%B8%AD%E5%A4%AE%E6%A5%B5%E9%99%90%E5%AE%9A%E7%90%86" title="中央極限定理">中央極限定理</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E5%B8%83%E6%B0%8F%E4%B8%8D%E7%AD%89%E5%BC%8F" title="布氏不等式">布氏不等式</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/%E6%A6%82%E7%8E%87%E5%98%85%E8%A9%AE%E9%87%8B" title="概率嘅詮釋">詮釋</a></th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"><a href="/wiki/%E5%8F%A4%E5%85%B8%E6%A6%82%E7%8E%87%E5%AE%9A%E7%BE%A9" title="古典概率定義">古典概率定義</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E9%A0%BB%E7%8E%87%E5%AD%B8%E6%B4%BE%E6%A6%82%E7%8E%87" title="頻率學派概率">頻率學派概率</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E8%B2%9D%E8%91%89%E6%96%AF%E6%A6%82%E7%8E%87" title="貝葉斯概率">貝葉斯概率</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%B1%BA%E5%AE%9A%E8%AB%96" title="決定論">決定論</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">應用</th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"><a href="/wiki/%E8%B3%87%E8%A8%8A%E7%90%86%E8%AB%96" title="資訊理論">資訊理論</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E5%AF%86%E7%A2%BC%E5%AD%B8" title="密碼學">密碼學</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E7%B5%B1%E8%A8%88%E5%AD%B8" title="統計學">統計學</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E7%89%A9%E7%90%86%E5%AD%B8" title="物理學">物理學</a>(<a href="/wiki/%E9%87%8F%E5%AD%90%E5%8A%9B%E5%AD%B8" title="量子力學">量子力學</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E7%B5%B1%E8%A8%88%E5%8A%9B%E5%AD%B8" title="統計力學">統計力學</a>)<span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%A9%9F%E6%A2%B0%E5%AD%B8%E7%BF%92" title="機械學習">機械學習</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E9%81%8A%E6%88%B2%E8%A8%AD%E8%A8%88" title="遊戲設計">遊戲設計</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">拉雜相關</th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"><a href="/wiki/%E5%BF%AB%E6%80%9D%E9%82%8F%E8%BC%AF" title="快思邏輯">快思邏輯</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E6%A9%9F%E7%8E%87%E9%81%8A%E6%88%B2" title="機率遊戲">機率遊戲</a>同<a href="/wiki/%E8%B3%AD" title="賭">賭錢</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E9%9A%A8%E6%A9%9F%E6%95%B8%E7%94%9F%E6%88%90" title="隨機數生成">RNG</a> 同<a href="/wiki/%E6%93%AC%E4%BA%82%E6%95%B8%E7%94%A2%E7%94%9F" title="擬亂數產生">擬亂數產生</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E4%BC%8A%E8%97%A4%E5%BC%95%E7%90%86" title="伊藤引理">伊藤引理</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%E9%9A%A8%E6%A9%9F%E5%BE%AE%E7%A9%8D%E5%88%86" title="隨機微積分">隨機微積分</a></div></td></tr><tr><td class="navbox-abovebelow" colspan="3"><div><a href="/wiki/Category:%E6%88%96%E7%84%B6%E7%8E%87%E8%AB%96" title="Category:或然率論">概率論類</a></div></td></tr></tbody></table></div> <table class="metadata plainlinks stub" style="background: transparent;" role="presentation"><tbody><tr class="noresize"> <td><span typeof="mw:File"><a href="/wiki/File:Bellcurve.svg" class="mw-file-description"><img alt="Stub icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/df/Bellcurve.svg/30px-Bellcurve.svg.png" decoding="async" width="30" height="19" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/df/Bellcurve.svg/45px-Bellcurve.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/df/Bellcurve.svg/60px-Bellcurve.svg.png 2x" data-file-width="512" data-file-height="320" /></a></span></td> <td><div class="notice metadata" id="stub" style="font-size: small;">呢篇<a href="/wiki/%E7%B5%B1%E8%A8%88%E5%AD%B8" title="統計學">統計學</a>文係<a href="/wiki/Wikipedia:%E6%A5%94" class="mw-redirect" title="Wikipedia:楔">楔</a>位文。歡迎幫維基百科<a class="external text" href="https://zh-yue.wikipedia.org/w/index.php?title=%E9%9A%A8%E6%A9%9F%E8%AE%8A%E6%95%B8%E5%8C%AF%E5%90%88&action=edit">擴寫佢</a>。</div><div class="noprint plainlinks navbar" style="background:none; 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