{"id":227,"date":"2023-08-03T23:08:41","date_gmt":"2023-08-03T23:08:41","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%9d%87%e5%8c%80%e8%bf%9e%e7%bb%ad%e5%88%86%e5%b8%83\/"},"modified":"2023-08-03T23:08:41","modified_gmt":"2023-08-03T23:08:41","slug":"%e5%9d%87%e5%8c%80%e8%bf%9e%e7%bb%ad%e5%88%86%e5%b8%83","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%9d%87%e5%8c%80%e8%bf%9e%e7%bb%ad%e5%88%86%e5%b8%83\/","title":{"rendered":"\u5747\u5300\u8fde\u7eed\u5206\u5e03"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f\u8fde\u7eed\u5747\u5300\u5206\u5e03\u53ca\u5176\u7528\u9014\u3002\u60a8\u8fd8\u5c06\u627e\u5230\u8fde\u7eed\u5747\u5300\u5206\u5e03\u7684\u56fe\u4ee5\u53ca\u6b64\u7c7b\u5206\u5e03\u7684\u5c5e\u6027\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-uniforme-continua\"><\/span>\u4ec0\u4e48\u662f\u8fde\u7eed\u5747\u5300\u5206\u5e03\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u8fde\u7eed\u5747\u5300\u5206\u5e03<\/strong>\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03\uff0c\u5176\u4e2d\u6240\u6709\u503c\u51fa\u73b0\u7684\u6982\u7387\u76f8\u540c\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u8fde\u7eed\u5747\u5300\u5206\u5e03\u662f\u6982\u7387\u5728\u4e00\u4e2a\u533a\u95f4\u4e0a\u5747\u5300\u5206\u5e03\u7684\u5206\u5e03\u3002<\/p>\n<p>\u8fde\u7eed\u5747\u5300\u5206\u5e03\u7528\u4e8e\u63cf\u8ff0\u5177\u6709\u6052\u5b9a\u6982\u7387\u7684\u8fde\u7eed\u53d8\u91cf\u3002\u7c7b\u4f3c\u5730\uff0c\u8fde\u7eed\u5747\u5300\u5206\u5e03\u7528\u4e8e\u5b9a\u4e49\u968f\u673a\u8fc7\u7a0b\uff0c\u56e0\u4e3a\u5982\u679c\u6240\u6709\u7ed3\u679c\u5177\u6709\u76f8\u540c\u7684\u6982\u7387\uff0c\u5219\u610f\u5473\u7740\u7ed3\u679c\u5b58\u5728\u968f\u673a\u6027\u3002<\/p>\n<p>\u8fde\u7eed\u5747\u5300\u5206\u5e03\u6709\u4e24\u4e2a\u7279\u5f81\u53c2\u6570<em>a<\/em>\u548c<em>b<\/em> \uff0c\u5b83\u4eec\u5b9a\u4e49\u7b49\u6982\u7387\u533a\u95f4\u3002\u56e0\u6b64\uff0c\u8fde\u7eed\u5747\u5300\u5206\u5e03\u7684\u7b26\u53f7\u4e3a<em>U(a,b)<\/em> \uff0c\u5176\u4e2d<em>a<\/em>\u548c<em>b<\/em>\u662f\u5206\u5e03\u7684\u7279\u5f81\u503c\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-339036da3788f71282d3936dd092730c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim U(a,b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"92\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u968f\u673a\u5b9e\u9a8c\u7684\u7ed3\u679c\u53ef\u4ee5\u53d6 5 \u5230 9 \u4e4b\u95f4\u7684\u4efb\u4f55\u503c\uff0c\u5e76\u4e14\u6240\u6709\u53ef\u80fd\u7684\u7ed3\u679c\u5177\u6709\u76f8\u540c\u7684\u53d1\u751f\u6982\u7387\uff0c\u5219\u53ef\u4ee5\u4f7f\u7528\u8fde\u7eed\u5747\u5300\u5206\u5e03 U(5.9) \u6765\u6a21\u62df\u8be5\u5b9e\u9a8c\u3002<\/p>\n<p>\u8fde\u7eed\u5747\u5300\u5206\u5e03\u4e5f\u79f0\u4e3a<strong>\u77e9\u5f62\u5206\u5e03<\/strong>\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-distribucion-uniforme-continua\"><\/span>\u8fde\u7eed\u5747\u5300\u5206\u5e03\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5b9a\u4e49\u5747\u5300\u5206\u5e03\u6982\u7387\u7684\u5bc6\u5ea6\u51fd\u6570\u662f\u9664\u4ee5<em>b<\/em>\u548c<em>a<\/em>\u4e4b\u95f4\u7684\u5dee\u503c\u3002\u56e0\u6b64\uff0c<strong>\u8fde\u7eed\u5747\u5300\u5206\u5e03\u7684\u516c\u5f0f<\/strong>\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-f28c4a144fb1377061b84b56968c9540_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim U(a,b)\\\\[2ex]f(x)=\\cfrac{1}{b-a}\\\\[4ex]x\\in [a,b]\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"123\" width=\"99\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u8fde\u7eed\u5747\u5300\u5206\u5e03\u7684\u7d2f\u79ef\u6982\u7387\u51fd\u6570\u7531\u4ee5\u4e0b\u8868\u8fbe\u5f0f\u5b9a\u4e49\uff1a<\/p>\n<pre class=\"ql-errors\"> *** QuickLaTeX cannot compile formula:\n\\displaystyle F(x)=\\left\\{\\begin{array}{ll}0&amp;\\text{si }x&lt;h2 class=\"wp-block-heading\"&gt;&lt;span class=\"ez-toc-section\" id =\"grafica-de-la-distribucion-uniforme-continua\"&gt;&lt;\/span&gt; Graph of continuous uniform distribution&lt;span class=\"ez-toc-section-end\"&gt;&lt;\/span&gt;&lt;\/h2&gt; Since in a distribution uniform continuous probability is constant, its graphical representation is simply a function with a constant value defined in the same interval as the uniform distribution. &lt;figure class=\"wp-block-image aligncenter size-full is-resized\"&gt;&lt;img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/ 08\/distribution-uniforme-continue.png\" alt=\"Continuous uniform distribution graph\" class=\"wp-image-4498\" width=\"330\" height=\"232\" srcset=\"\" sizes=\"\"&gt;&lt;\/figure &gt; On the other hand, the cumulative probability graph of the continuous uniform distribution is as follows: &lt;figure class=\"wp-block-image aligncenter size-full is-resized\"&gt;&lt;img decoding=\"async\" loading=\"lazy \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/distribution-uniforme-continue-probabilite-cumulative.png\" alt=\"cumulative probability plot of a continuous uniform distribution\" class= \"wp-image-4499\" width=\"247\" height=\"193\" srcset=\"\" sizes=\"\"&gt;&lt;\/figure&gt;&lt;h2 class=\"wp-block-heading\"&gt;&lt;span class=\"ez-toc -section\" id=\"caracteristicas-de-la-distribucion-uniforme-continua\"&gt;&lt;\/span&gt; Characteristics of the continuous uniform distribution&lt;span class=\"ez-toc-section-end\"&gt;&lt;\/span&gt;&lt;\/h2 &gt; The continuous uniform distribution has the following characteristics: &lt;ul&gt;&lt;li&gt; The continuous uniform distribution is defined by two real parameters, &lt;em&gt;a&lt;\/em&gt; and &lt;em&gt;b&lt;\/em&gt;, which establish the limits in which the probability is constant.&lt;\/li&gt;&lt;\/ul&gt;[latex]a,b\\in \\mathbb{R}\n\n***Error message:\nPlease use \\mathaccent for accents in math mode.\nleading text: ...continuous uniform distribution probability\nPlease use \\mathaccent for accents in math mode.\nleading text: ...if the probability is constant, its representation\nPlease use \\mathaccent for accents in math mode.\nleading text: ...a function with a constant value de\nPlease use \\mathaccent for accents in math mode.\nleading text: ...c a constant value defined in the same\nPlease use \\mathaccent for accents in math mode.\nleading text: ...On the other hand, the probability graph\nPlease use \\mathaccent for accents in math mode.\nleading text: ... part, the cumulative probability graph\nPlease use \\mathaccent for accents in math mode.\nleading text: ...nue-probabilite-cumulative.png\" alt=\"plot\n\n<\/pre>\n<ul>\n<li>\u8fde\u7eed\u5747\u5300\u5206\u5e03\u53ea\u80fd\u53d6\u4f4d\u4e8e<em>a<\/em>\u548c<em>b<\/em>\u6240\u7ec4\u6210\u7684\u533a\u95f4\u5185\u7684\u503c\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3d713e1ad32e4d969c10e514cd71b7d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\in [a,b]\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"65\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u8fde\u7eed\u5747\u5300\u5206\u5e03\u7684\u5747\u503c\u7b49\u4e8e\u5176\u4e24\u4e2a\u7279\u5f81\u53c2\u6570\u4e4b\u548c\u9664\u4ee5\u4e8c\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-96d92a77b5dce5d38b2b2f3b79ac09a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E[X]=\\cfrac{a+b}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"105\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li>\u8fde\u7eed\u5747\u5300\u5206\u5e03\u7684\u65b9\u5dee\u7b49\u4e8e<em>b<\/em>\u548c<em>a<\/em>\u4e4b\u5dee\u7684\u5e73\u65b9\u9664\u4ee5 12\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1f52c10cdd7fb59fca29f8d7703e7495_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\cfrac{(b-a)^2}{12}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"149\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li>\u8fde\u7eed\u5747\u5300\u5206\u5e03\u7684\u4e2d\u4f4d\u6570\u4e0e\u5176\u5747\u503c\u4e00\u81f4\uff0c\u56e0\u6b64\u4f7f\u7528\u76f8\u540c\u7684\u516c\u5f0f\u8ba1\u7b97\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9acd8c7117f5765f6e47060148e541e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Me=\\cfrac{a+b}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"92\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li>\u8fde\u7eed\u5747\u5300\u5206\u5e03\u662f\u5bf9\u79f0\u7684\uff0c\u56e0\u6b64\uff0c\u6b64\u7c7b\u5206\u5e03\u7684\u4e0d\u5bf9\u79f0\u7cfb\u6570\u4e3a\u96f6\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-f32c2fb2ba717dc1c88c67cb82c26e9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A=0\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"46\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li>\u8fde\u7eed\u5747\u5300\u5206\u5e03\u7684\u5cf0\u5ea6\u4e0d\u53d6\u51b3\u4e8e\u5176\u53c2\u6570\uff0c\u5b83\u59cb\u7ec8\u662f -6 \u9664\u4ee5 5\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-53318cb30ff0697fd742850c405c7545_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C=\\cfrac{-6}{5}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"71\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li>\u6807\u51c6\u5747\u5300\u5206\u5e03\u662f\u53c2\u6570<em>a<\/em>\u548c<em>b<\/em>\u5206\u522b\u4e3a0\u548c1\u7684\u8fde\u7eed\u5747\u5300\u5206\u5e03\u3002 <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-be2dbf7d29ed8c8a1220e74498c77d6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim U(0,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"92\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-uniforme-continua-y-distribucion-uniforme-discreta\"><\/span>\u8fde\u7eed\u5747\u5300\u5206\u5e03\u548c\u79bb\u6563\u5747\u5300\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u5c06\u770b\u5230\u8fde\u7eed\u5747\u5300\u5206\u5e03\u548c\u79bb\u6563\u5747\u5300\u5206\u5e03\u4e4b\u95f4\u7684\u533a\u522b\uff0c\u56e0\u4e3a\u5b83\u4eec\u662f\u4e24\u4e2a\u53ef\u80fd\u6df7\u6dc6\u7684\u6982\u7387\u5206\u5e03\uff0c\u4f46\u4ee3\u8868\u5b8c\u5168\u4e0d\u540c\u7684\u6982\u5ff5\u3002<\/p>\n<p><strong>\u8fde\u7eed\u5747\u5300\u5206\u5e03\u548c\u79bb\u6563\u5747\u5300\u5206\u5e03\u7684\u4e3b\u8981\u533a\u522b<\/strong>\u5728\u4e8e\u5b83\u4eec\u53ef\u4ee5\u53d6\u7684\u503c\u3002\u8fde\u7eed\u5747\u5300\u5206\u5e03\u662f\u5728\u8fde\u7eed\u6837\u672c\u7a7a\u95f4\u4e2d\u5b9a\u4e49\u7684\uff0c\u800c\u79bb\u6563\u5747\u5300\u5206\u5e03\u662f\u5728\u79bb\u6563\u6837\u672c\u7a7a\u95f4\u4e2d\u5b9a\u4e49\u7684\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u79bb\u6563\u5747\u5300\u5206\u5e03\u53ea\u80fd\u53d6\u4e00\u4e2a\u533a\u95f4\u5185\u7684\u51e0\u4e2a\u503c\uff0c\u901a\u5e38\u662f\u6574\u6570\uff0c\u800c\u8fde\u7eed\u5747\u5300\u5206\u5e03\u53ef\u4ee5\u53d6\u4e00\u4e2a\u533a\u95f4\u5185\u7684\u4efb\u610f\u503c\uff0c\u5305\u62ec\u5c0f\u6570\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u79bb\u6563\u5747\u5300\u5206\u5e03\/\">\u79bb\u6563\u5747\u5300\u5206\u5e03<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f\u8fde\u7eed\u5747\u5300\u5206\u5e03\u53ca\u5176\u7528\u9014\u3002\u60a8\u8fd8\u5c06\u627e\u5230\u8fde\u7eed\u5747\u5300\u5206\u5e03\u7684\u56fe\u4ee5\u53ca\u6b64\u7c7b\u5206\u5e03\u7684\u5c5e\u6027\u3002 \u4ec0\u4e48\u662f\u8fde\u7eed\u5747\u5300\u5206\u5e03\uff1f \u8fde [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":["post-227","post","type-post","status-publish","format-standard","hentry","category-12"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7\u8fde\u7eed\u5747\u5300\u5206\u5e03<\/title>\n<meta name=\"description\" content=\"\u5728\u8fd9\u91cc\u60a8\u5c06\u4e86\u89e3\u4ec0\u4e48\u662f\u8fde\u7eed\u5747\u5300\u5206\u5e03\u3001\u8fde\u7eed\u5747\u5300\u5206\u5e03\u7684\u516c\u5f0f\u3001\u56fe\u5f62\u548c\u7279\u5f81\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/cn\/\u5747\u5300\u8fde\u7eed\u5206\u5e03\/\" \/>\n<meta property=\"og:locale\" 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