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區間估計 - 维基百科,自由的百科全书

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href="/w/index.php?title=Special:%E5%88%9B%E5%BB%BA%E8%B4%A6%E6%88%B7&amp;returnto=%E5%8D%80%E9%96%93%E4%BC%B0%E8%A8%88" title="我们推荐您创建账号并登录,但这不是强制性的"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>创建账号</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:%E7%94%A8%E6%88%B7%E7%99%BB%E5%BD%95&amp;returnto=%E5%8D%80%E9%96%93%E4%BC%B0%E8%A8%88" title="建议你登录,尽管并非必须。[o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>登录</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"> 未登录编辑者的页面 <a href="/wiki/Help:%E6%96%B0%E6%89%8B%E5%85%A5%E9%97%A8" aria-label="了解有关编辑的更多信息"><span>了解详情</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/Special:%E6%88%91%E7%9A%84%E8%B4%A1%E7%8C%AE" title="来自此IP地址的编辑列表[y]" accesskey="y"><span>贡献</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Special:%E6%88%91%E7%9A%84%E8%AE%A8%E8%AE%BA%E9%A1%B5" title="对于来自此IP地址编辑的讨论[n]" accesskey="n"><span>讨论</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"><!-- CentralNotice --></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="站点"> <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="目录" 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">目录</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">移至侧栏</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">隐藏</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">序言</div> </a> </li> <li id="toc-参考文献" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#参考文献"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>参考文献</span> </div> </a> <ul id="toc-参考文献-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="目录" 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="开关目录" > <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">开关目录</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">區間估計</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="前往另一种语言写成的文章。11种语言可用" > <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-11" 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">11种语言</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Intervalov%C3%BD_odhad" title="Intervalový odhad – 捷克语" lang="cs" hreflang="cs" data-title="Intervalový odhad" data-language-autonym="Čeština" data-language-local-name="捷克语" 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/Bereichssch%C3%A4tzer" title="Bereichsschätzer – 德语" lang="de" hreflang="de" data-title="Bereichsschätzer" data-language-autonym="Deutsch" data-language-local-name="德语" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Interval_estimation" title="Interval estimation – 英语" lang="en" hreflang="en" data-title="Interval estimation" data-language-autonym="English" data-language-local-name="英语" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A8%D8%B1%D8%A2%D9%88%D8%B1%D8%AF_%D9%81%D8%A7%D8%B5%D9%84%D9%87%E2%80%8C%D8%A7%DB%8C" title="برآورد فاصله‌ای – 波斯语" lang="fa" hreflang="fa" data-title="برآورد فاصله‌ای" data-language-autonym="فارسی" data-language-local-name="波斯语" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Estymacja_przedzia%C5%82owa" title="Estymacja przedziałowa – 波兰语" lang="pl" hreflang="pl" data-title="Estymacja przedziałowa" data-language-autonym="Polski" data-language-local-name="波兰语" 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/Estimativa_por_intervalo" title="Estimativa por intervalo – 葡萄牙语" lang="pt" hreflang="pt" data-title="Estimativa por intervalo" data-language-autonym="Português" data-language-local-name="葡萄牙语" 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%98%D0%BD%D1%82%D0%B5%D1%80%D0%B2%D0%B0%D0%BB%D1%8C%D0%BD%D0%B0%D1%8F_%D0%BE%D1%86%D0%B5%D0%BD%D0%BA%D0%B0" title="Интервальная оценка – 俄语" lang="ru" hreflang="ru" data-title="Интервальная оценка" data-language-autonym="Русский" data-language-local-name="俄语" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Interval_estimasi" title="Interval estimasi – 巽他语" lang="su" hreflang="su" data-title="Interval estimasi" data-language-autonym="Sunda" data-language-local-name="巽他语" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Intervallskattning" title="Intervallskattning – 瑞典语" lang="sv" hreflang="sv" data-title="Intervallskattning" data-language-autonym="Svenska" data-language-local-name="瑞典语" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Aral%C4%B1k_tahmini" title="Aralık tahmini – 土耳其语" lang="tr" hreflang="tr" data-title="Aralık tahmini" data-language-autonym="Türkçe" data-language-local-name="土耳其语" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E5%8D%80%E9%96%93%E4%BC%B0%E8%A8%88" title="區間估計 – 粤语" lang="yue" hreflang="yue" data-title="區間估計" data-language-autonym="粵語" data-language-local-name="粤语" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q3300636#sitelinks-wikipedia" title="编辑跨语言链接" class="wbc-editpage">编辑链接</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="命名空间"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%E5%8D%80%E9%96%93%E4%BC%B0%E8%A8%88" title="浏览条目正文[c]" accesskey="c"><span>条目</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Talk:%E5%8D%80%E9%96%93%E4%BC%B0%E8%A8%88" rel="discussion" title="关于此页面的讨论[t]" accesskey="t"><span>讨论</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown " > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="更改语言变体" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">不转换</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-varlang-0" class="selected ca-variants-zh mw-list-item"><a href="/zh/%E5%8D%80%E9%96%93%E4%BC%B0%E8%A8%88" lang="zh" hreflang="zh"><span>不转换</span></a></li><li id="ca-varlang-1" class="ca-variants-zh-Hans mw-list-item"><a href="/zh-hans/%E5%8D%80%E9%96%93%E4%BC%B0%E8%A8%88" lang="zh-Hans" hreflang="zh-Hans"><span>简体</span></a></li><li id="ca-varlang-2" class="ca-variants-zh-Hant mw-list-item"><a href="/zh-hant/%E5%8D%80%E9%96%93%E4%BC%B0%E8%A8%88" lang="zh-Hant" hreflang="zh-Hant"><span>繁體</span></a></li><li id="ca-varlang-3" class="ca-variants-zh-Hans-CN mw-list-item"><a href="/zh-cn/%E5%8D%80%E9%96%93%E4%BC%B0%E8%A8%88" lang="zh-Hans-CN" hreflang="zh-Hans-CN"><span>大陆简体</span></a></li><li id="ca-varlang-4" class="ca-variants-zh-Hant-HK mw-list-item"><a href="/zh-hk/%E5%8D%80%E9%96%93%E4%BC%B0%E8%A8%88" lang="zh-Hant-HK" hreflang="zh-Hant-HK"><span>香港繁體</span></a></li><li id="ca-varlang-5" class="ca-variants-zh-Hant-MO mw-list-item"><a href="/zh-mo/%E5%8D%80%E9%96%93%E4%BC%B0%E8%A8%88" lang="zh-Hant-MO" hreflang="zh-Hant-MO"><span>澳門繁體</span></a></li><li id="ca-varlang-6" class="ca-variants-zh-Hans-MY mw-list-item"><a href="/zh-my/%E5%8D%80%E9%96%93%E4%BC%B0%E8%A8%88" lang="zh-Hans-MY" hreflang="zh-Hans-MY"><span>大马简体</span></a></li><li id="ca-varlang-7" class="ca-variants-zh-Hans-SG mw-list-item"><a href="/zh-sg/%E5%8D%80%E9%96%93%E4%BC%B0%E8%A8%88" lang="zh-Hans-SG" hreflang="zh-Hans-SG"><span>新加坡简体</span></a></li><li id="ca-varlang-8" class="ca-variants-zh-Hant-TW mw-list-item"><a href="/zh-tw/%E5%8D%80%E9%96%93%E4%BC%B0%E8%A8%88" lang="zh-Hant-TW" hreflang="zh-Hant-TW"><span>臺灣正體</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="查看"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%E5%8D%80%E9%96%93%E4%BC%B0%E8%A8%88"><span>阅读</span></a></li><li id="ca-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E5%8D%80%E9%96%93%E4%BC%B0%E8%A8%88&amp;action=edit" title="编辑该页面[e]" accesskey="e"><span>编辑</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E5%8D%80%E9%96%93%E4%BC%B0%E8%A8%88&amp;action=history" title="本页面的早前版本。[h]" accesskey="h"><span>查看历史</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="页面工具"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="工具" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">工具</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">工具</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">移至侧栏</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" 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href="/wiki/%E8%AA%A4%E5%B7%AE%E5%80%BC" class="mw-redirect" title="誤差值">误差值</a>,而這個上下限內就構成一個<a href="/wiki/%E5%8C%BA%E9%97%B4" class="mw-redirect" title="区间">区间</a>,而且還要估算一下区间的可信程度。這個區間也被稱為<b>预测区间</b><sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup>。例如一家商店每天的平均销售量为29.52杯,数据若採用區間估計,則调整为(29.52±3.2)杯,即每天的平均销售量为26.32~32.72杯,這樣調整出來的區間數值更接近實際,而且这个区间值的<a href="/wiki/%E5%8F%AF%E4%BF%A1%E5%BA%A6" class="mw-redirect" title="可信度">可信度</a>达到90%。<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup>与<a href="/wiki/%E7%82%B9%E4%BC%B0%E8%AE%A1" title="点估计">点估计</a>不同的是,点估计只给出一个值。 <sup id="cite_ref-Neyman1937_3-0" class="reference"><a href="#cite_note-Neyman1937-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="参考文献"><span id=".E5.8F.82.E8.80.83.E6.96.87.E7.8C.AE"></span>参考文献</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%80%E9%96%93%E4%BC%B0%E8%A8%88&amp;action=edit&amp;section=1" title="编辑章节:参考文献"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist" style="list-style-type: decimal;"> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text">杨林泉,系统工程方法与应用,冶金工业出版社,2018.09,第74页</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><cite class="citation web">谢金云,汤玉荣,牟树杰主编,经济应用数学,江苏大学出版社有限责任公司,2021.04,第240页.</cite><span title="ctx_ver=Z39.88-2004&amp;rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E5%8D%80%E9%96%93%E4%BC%B0%E8%A8%88&amp;rft.btitle=%E8%B0%A2%E9%87%91%E4%BA%91%EF%BC%8C%E6%B1%A4%E7%8E%89%E8%8D%A3%EF%BC%8C%E7%89%9F%E6%A0%91%E6%9D%B0%E4%B8%BB%E7%BC%96%2C%E7%BB%8F%E6%B5%8E%E5%BA%94%E7%94%A8%E6%95%B0%E5%AD%A6%2C%E6%B1%9F%E8%8B%8F%E5%A4%A7%E5%AD%A6%E5%87%BA%E7%89%88%E7%A4%BE%E6%9C%89%E9%99%90%E8%B4%A3%E4%BB%BB%E5%85%AC%E5%8F%B8%2C2021.04%2C%E7%AC%AC240%E9%A1%B5&amp;rft.genre=unknown&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;">&#160;</span></span> <span style="display:none;font-size:100%" class="error citation-comment">缺少或<code style="color:inherit; border:inherit; padding:inherit;">&#124;url=</code>为空 (<a href="/wiki/Help:%E5%BC%95%E6%96%87%E6%A0%BC%E5%BC%8F1%E9%94%99%E8%AF%AF#cite_web_url" title="Help:引文格式1错误">帮助</a>)</span></span> </li> <li id="cite_note-Neyman1937-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-Neyman1937_3-0">^</a></b></span> <span class="reference-text"><cite class="citation journal"><a href="/wiki/Jerzy_Neyman" class="mw-redirect" title="Jerzy Neyman">Neyman, J.</a> <a rel="nofollow" class="external text" href="http://www.jstor.org/stable/91337">Outline of a Theory of Statistical Estimation Based on the Classical Theory of Probability</a>. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences (The Royal Society). 1937, <b>236</b> (767): 333–380 <span class="reference-accessdate"> &#91;<span class="nowrap">2021-07-15</span>&#93;</span>. <a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/1937RSPTA.236..333N"><span title="Bibcode">Bibcode:1937RSPTA.236..333N</span></a>. <a rel="nofollow" class="external text" href="//www.worldcat.org/issn/0080-4614"><span title="国际标准连续出版物号">ISSN&#160;0080-4614</span></a>. <a rel="nofollow" class="external text" href="//www.jstor.org/stable/91337"><span title="JSTOR">JSTOR&#160;91337</span></a>. <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:19584450"><span title="Semantic Scholar">S2CID&#160;19584450</span></a>. <span class="plainlinks"><a rel="nofollow" class="external text" href="https://doi.org/10.1098%2Frsta.1937.0005"><span title="數位物件識別號">doi:10.1098/rsta.1937.0005</span></a>&#8239;<span typeof="mw:File"><span title="可免费查阅"><img alt="可免费查阅" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/9px-Lock-green.svg.png" decoding="async" width="9" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/14px-Lock-green.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/18px-Lock-green.svg.png 2x" data-file-width="512" data-file-height="813" /></span></span></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E5%8D%80%E9%96%93%E4%BC%B0%E8%A8%88&amp;rft.atitle=Outline+of+a+Theory+of+Statistical+Estimation+Based+on+the+Classical+Theory+of+Probability&amp;rft.aufirst=J.&amp;rft.aulast=Neyman&amp;rft.date=1937&amp;rft.genre=article&amp;rft.issn=0080-4614&amp;rft.issue=767&amp;rft.jtitle=Philosophical+Transactions+of+the+Royal+Society+of+London.+Series+A%2C+Mathematical+and+Physical+Sciences&amp;rft.pages=333-380&amp;rft.volume=236&amp;rft_id=%2F%2Fwww.jstor.org%2Fstable%2F91337&amp;rft_id=http%3A%2F%2Fwww.jstor.org%2Fstable%2F91337&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A19584450&amp;rft_id=info%3Abibcode%2F1937RSPTA.236..333N&amp;rft_id=info%3Adoi%2F10.1098%2Frsta.1937.0005&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;">&#160;</span></span></span> </li> </ol></div> <!-- NewPP limit report Parsed by mw‐web.codfw.main‐847495b4dd‐bj4bj Cached time: 20241128123039 Cache expiry: 2592000 Reduced expiry: false Complications: [] CPU time usage: 0.089 seconds Real time usage: 0.110 seconds Preprocessor visited node count: 144/1000000 Post‐expand include size: 5981/2097152 bytes Template argument size: 0/2097152 bytes Highest expansion depth: 5/100 Expensive parser function count: 0/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 4686/5000000 bytes Lua time usage: 0.031/10.000 seconds Lua memory usage: 1800069/52428800 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 71.537 1 Template:Reflist 100.00% 71.537 1 -total 78.06% 55.845 1 Template:Cite_web 9.85% 7.045 1 Template:Cite_journal --> <!-- Saved in parser cache with key zhwiki:pcache:8812638:|#|:idhash:canonical!zh and timestamp 20241128123039 and revision id 83559516. 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