{"id":213,"date":"2023-08-04T02:39:23","date_gmt":"2023-08-04T02:39:23","guid":{"rendered":"https:\/\/statorials.org\/ko\/%e1%84%87%e1%85%a6%e1%84%90%e1%85%a1-%e1%84%87%e1%85%a2%e1%84%91%e1%85%a9\/"},"modified":"2023-08-04T02:39:23","modified_gmt":"2023-08-04T02:39:23","slug":"%e1%84%87%e1%85%a6%e1%84%90%e1%85%a1-%e1%84%87%e1%85%a2%e1%84%91%e1%85%a9","status":"publish","type":"post","link":"https:\/\/statorials.org\/ko\/%e1%84%87%e1%85%a6%e1%84%90%e1%85%a1-%e1%84%87%e1%85%a2%e1%84%91%e1%85%a9\/","title":{"rendered":"\ubca0\ud0c0 \ubc30\ud3ec"},"content":{"rendered":"<p>\uc774 \ubb38\uc11c\uc5d0\uc11c\ub294 \ubca0\ud0c0 \ubc30\ud3ec\uac00 \ubb34\uc5c7\uc778\uc9c0, \uadf8\ub9ac\uace0 \uc5b4\ub5a4 \uc6a9\ub3c4\ub85c \uc0ac\uc6a9\ub418\ub294\uc9c0 \uc124\uba85\ud569\ub2c8\ub2e4. \ub9c8\ucc2c\uac00\uc9c0\ub85c \ubca0\ud0c0 \ubd84\ud3ec \uadf8\ub798\ud504\uc640 \uc774\ub7ec\ud55c \uc720\ud615\uc758 \ud655\ub960 \ubd84\ud3ec\uc758 \uc18d\uc131\uc744 \ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-beta\"><\/span> \ubca0\ud0c0 \ubc30\ud3ec\ub780 \ubb34\uc5c7\uc785\ub2c8\uae4c?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\ubca0\ud0c0 \ubd84\ud3ec\ub294<\/strong> \uad6c\uac04 (0,1)\uc5d0\uc11c \uc815\uc758\ub418\uace0 \ub450 \uac1c\uc758 \uc591\uc218 \ub9e4\uac1c\ubcc0\uc218\uc778 \u03b1\uc640 \u03b2\ub85c \ub9e4\uac1c\ubcc0\uc218\ud654\ub418\ub294 \ud655\ub960 \ubd84\ud3ec\uc785\ub2c8\ub2e4. \uc989, \ubca0\ud0c0 \ubd84\ud3ec\uc758 \uac12\uc740 \ub9e4\uac1c\ubcc0\uc218 \u03b1\uc640 \u03b2\uc5d0 \ub530\ub77c \ub2ec\ub77c\uc9d1\ub2c8\ub2e4.<\/p>\n<p> \ub530\ub77c\uc11c \ubca0\ud0c0 \ubd84\ud3ec\uc758 \uc8fc\uc694 \ud2b9\uc9d5\uc740 \uadf8 \ubaa8\uc591\uc774 \ub9e4\uac1c\ubcc0\uc218 \u03b1\uc640 \u03b2\uc5d0 \uc758\ud574 \uc81c\uc5b4\ub420 \uc218 \uc788\ub2e4\ub294 \uac83\uc785\ub2c8\ub2e4. \ub610\ud55c \ubca0\ud0c0 \ubd84\ud3ec\ub294 \uac12\uc774 0\uacfc 1 \uc0ac\uc774\uc778 \ud655\ub960 \ubcc0\uc218\ub97c \uc815\uc758\ud558\ub294 \ub370 \uc0ac\uc6a9\ub429\ub2c8\ub2e4.<\/p>\n<p> \uc5f0\uc18d \ud655\ub960 \ubcc0\uc218\uac00 \ubca0\ud0c0 \ubd84\ud3ec\uc758 \uc601\ud5a5\uc744 \ubc1b\ub294\ub2e4\ub294 \uac83\uc744 \ub098\ud0c0\ub0b4\ub294 \uba87 \uac00\uc9c0 \ud45c\uae30\ubc95\uc774 \uc788\uc73c\uba70, \uac00\uc7a5 \uc77c\ubc18\uc801\uc778 \ud45c\uae30\ubc95\uc740 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/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-ee1d0d8a1624a017b8ef9ce8a67c694e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim B(\\alpha,\\beta)\\\\[2ex]X\\sim Beta(\\alpha,\\beta)\\\\[2ex]X\\sim \\beta_{\\alpha,\\beta}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"121\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \ud1b5\uacc4\uc5d0\uc11c \ubca0\ud0c0 \ubc30\ud3ec\ud310\uc740 \ub9e4\uc6b0 \ub2e4\uc591\ud55c \uc6a9\ub3c4\ub85c \uc0ac\uc6a9\ub429\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uc5b4, \ubca0\ud0c0 \ubd84\ud3ec\ub294 \ub2e4\uc591\ud55c \ud45c\ubcf8\uc758 \ubc31\ubd84\uc728 \ubcc0\ud654\ub97c \uc5f0\uad6c\ud558\ub294 \ub370 \uc0ac\uc6a9\ub429\ub2c8\ub2e4. \ub9c8\ucc2c\uac00\uc9c0\ub85c \ud504\ub85c\uc81d\ud2b8 \uad00\ub9ac\uc5d0\uc11c\ub294 \ubca0\ud0c0 \ubc30\ud3ec\ub97c \uc0ac\uc6a9\ud558\uc5ec Pert \ubd84\uc11d\uc744 \uc218\ud589\ud569\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"grafica-de-la-distribucion-beta\"><\/span> \ubca0\ud0c0 \ubd84\ud3ec\ub3c4<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \ubca0\ud0c0\ubd84\ud3ec\uc758 \uc815\uc758\ub97c \uace0\ub824\ud558\uc5ec \ubca0\ud0c0\ubd84\ud3ec\uc758 \ubc00\ub3c4\ud568\uc218\uc640 \ud655\ub960\ubd84\ud3ec\ud568\uc218\ub97c \uc544\ub798\uc5d0 \uadf8\ub824\ubcf8\ub2e4.<\/p>\n<p> \uc544\ub798\uc5d0\uc11c\ub294 \ubca0\ud0c0 \ubd84\ud3ec\uc758 \ubc00\ub3c4 \ud568\uc218 \uadf8\ub798\ud504\uac00 \ub9e4\uac1c\ubcc0\uc218 \u03b1 \ubc0f \u03b2\uc5d0 \ub530\ub77c \uc5b4\ub5bb\uac8c \ub2ec\ub77c\uc9c0\ub294\uc9c0 \ud655\uc778\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/distribution-graphique-beta.png\" alt=\"\ubca0\ud0c0 \ubd84\ud3ec \ucc28\ud2b8\" class=\"wp-image-4315\" width=\"621\" height=\"372\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \ub9c8\ucc2c\uac00\uc9c0\ub85c \uc544\ub798\uc5d0\uc11c\ub294 \ub9e4\uac1c\ubcc0\uc218 \u03b1 \ubc0f \u03b2\ub97c \uae30\ubc18\uc73c\ub85c \ubca0\ud0c0 \ubd84\ud3ec\uc758 \ub204\uc801 \ud655\ub960\uc744 \uadf8\ub798\ud53d\uc73c\ub85c \ud45c\ud604\ud55c \uac83\uc744 \ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/distribution-beta-cumulative.png\" alt=\"\ub204\uc801 \ubca0\ud0c0 \ubd84\ud3ec \ucc28\ud2b8\" class=\"wp-image-4316\" width=\"621\" height=\"373\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-beta\"><\/span> \ubca0\ud0c0 \ubd84\ud3ec\uc758 \ud2b9\uc9d5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uc774 \uc139\uc158\uc5d0\uc11c\ub294 \ubca0\ud0c0 \ubc30\ud3ec\uc758 \uac00\uc7a5 \uc911\uc694\ud55c \ud2b9\uc131\uc774 \ubb34\uc5c7\uc778\uc9c0 \uc0b4\ud3b4\ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n<ul>\n<li> \ubca0\ud0c0 \ubd84\ud3ec\uc758 \ub9e4\uac1c\ubcc0\uc218 \u03b1\uc640 \u03b2\ub294 \uc2e4\uc218\uc640 \uc591\uc218\uc785\ub2c8\ub2e4.<\/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-442bebaba847543d6db71cdf0127a4b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\alpha >0\\\\[2ex] \\beta >0\\end{array}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;54&#8243; width=&#8221;44&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<ul>\n<li> \ubca0\ud0c0 \ubd84\ud3ec\uc758 \uc601\uc5ed \ubc94\uc704\ub294 0\uc5d0\uc11c 1\uae4c\uc9c0\uc774\uba70 \ub450 \uadf9\ub2e8\uc740 \ud3ec\ud568\ub418\uc9c0 \uc54a\uc2b5\ub2c8\ub2e4.<\/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-60f8667881e2c5a08eae2db3c3e04708_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\in (0,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \ubca0\ud0c0 \ubd84\ud3ec\uc758 \ud3c9\uade0\uc740 \uc54c\ud30c\ub97c \uc54c\ud30c \ub354\ud558\uae30 \ubca0\ud0c0\uc758 \ud569\uc73c\ub85c \ub098\ub208 \uac12\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/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-4530a8b72211111e8bec79b6388e00a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim B(\\alpha,\\beta)\\\\[2ex] E[X]=\\cfrac{\\alpha}{\\alpha+\\beta}\\end{array} \" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"111\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> \ubca0\ud0c0 \ubd84\ud3ec\uc758 \ubd84\uc0b0\uc740 \ub2e4\uc74c \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud558\uc5ec \uacc4\uc0b0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/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-71c6ef40db833722e63c56cd763d6601_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim B(\\alpha,\\beta)\\\\[2ex] Var(X)=\\cfrac{\\alpha\\cdot \\beta}{(\\alpha+\\beta+1)\\cdot (\\alpha+\\beta)^2}\\end{array} \" title=\"Rendered by QuickLaTeX.com\" height=\"82\" width=\"255\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> 1\ubcf4\ub2e4 \ud070 \uc54c\ud30c \ubc0f \ubca0\ud0c0 \uac12\uc758 \uacbd\uc6b0 \ubca0\ud0c0 \ubd84\ud3ec \ubaa8\ub4dc\ub294 \ub2e4\uc74c \ud45c\ud604\uc2dd\uc73c\ub85c \uc27d\uac8c \ucc3e\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/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-472cafc0cf9d1cf782206ddc7c9475d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Mo=\\cfrac{\\alpha-1}{\\alpha+\\beta-2}\\qquad \\alpha,\\beta>1&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;42&#8243; width=&#8221;225&#8243; style=&#8221;vertical-align: -16px;&#8221;><\/p>\n<\/p>\n<ul>\n<li> \ubca0\ud0c0 \ubd84\ud3ec\uc758 \ubc00\ub3c4 \ud568\uc218\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/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-48f1f2a13df23d7c779bc37da4b49368_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X=x]=\\frac{x^{\\alpha-1}(1-x)^{\\beta-1}}{B(\\alpha,\\beta)}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"218\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \uc5ec\uae30\uc11c B(\u03b1,\u03b2)\ub294 \ubca0\ud0c0 \ud568\uc218\uc774\uba70 \ub2e4\uc74c\uacfc \uac19\uc774 \uc815\uc758\ub429\ub2c8\ub2e4.<\/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-f4eb1d2659d9993f9d05a35cce63fc14_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle B(\\alpha,\\beta)=\\int_0^1x^{\\alpha-1}(1-x)^{\\beta-1}dx\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"248\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<ul>\n<li> \ubca0\ud0c0 \ubd84\ud3ec\uc758 \ub204\uc801 \ud655\ub960 \ud568\uc218\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/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-031b21ea3e2964d3ac4e6f222356d55b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X\\leq x]=\\frac{B(x;\\alpha,\\beta)}{B(\\alpha,\\beta)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"176\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \uc5ec\uae30\uc11c B(x;\u03b1,\u03b2)\ub294 \ubd88\uc644\uc804 \ubca0\ud0c0 \ud568\uc218\uc774\uba70 \ub2e4\uc74c\uacfc \uac19\uc774 \uc815\uc758\ub429\ub2c8\ub2e4.<\/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-6c64764f48f86e8f97df5ed1e8d7fbe6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle B(x;\\,a,b) = \\int_0^x t^{a-1}\\,(1-t)^{b-1}\\,dt\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"255\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<ul>\n<li> X\uac00 \ubca0\ud0c0 \ubd84\ud3ec\uc5d0 \uc758\ud574 \uc815\uc758\ub41c \ubcc0\uc218\uc778 \uacbd\uc6b0 1-X\ub294 \uc54c\ud30c \ubc0f \ubca0\ud0c0 \ub9e4\uac1c\ubcc0\uc218\uac00 \uac01\uac01 \uc6d0\ub798 \ubca0\ud0c0 \ubd84\ud3ec\uc758 \ubca0\ud0c0 \ubc0f \uc54c\ud30c \ub9e4\uac1c\ubcc0\uc218\uc778 \ubca0\ud0c0 \ubd84\ud3ec\uc5d0 \uc758\ud574 \uc815\uc758\ub41c \ubcc0\uc218\uc785\ub2c8\ub2e4.<\/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-c65dd399bb92ffe982784a6c1b6e5b0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim B(\\alpha,\\beta) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ 1-X\\sim B(\\beta,\\alpha)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"361\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \ubca0\ud0c0 \ubd84\ud3ec\uc758 \uc54c\ud30c \ubc0f \ubca0\ud0c0 \ub9e4\uac1c\ubcc0\uc218\uac00 \ubaa8\ub450 1\uc774\uba74 \ubd84\ud3ec\ub294 \ub9e4\uac1c\ubcc0\uc218 0\uacfc 1\uc758 \uade0\uc77c \ubd84\ud3ec\uc640 \ub3d9\uc77c\ud569\ub2c8\ub2e4.<\/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-10010ad6c6959b44a8ae0fe4361b4034_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim B(1,1) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ X\\sim U(0,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"321\" style=\"vertical-align: -5px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\uc774 \ubb38\uc11c\uc5d0\uc11c\ub294 \ubca0\ud0c0 \ubc30\ud3ec\uac00 \ubb34\uc5c7\uc778\uc9c0, \uadf8\ub9ac\uace0 \uc5b4\ub5a4 \uc6a9\ub3c4\ub85c \uc0ac\uc6a9\ub418\ub294\uc9c0 \uc124\uba85\ud569\ub2c8\ub2e4. \ub9c8\ucc2c\uac00\uc9c0\ub85c \ubca0\ud0c0 \ubd84\ud3ec \uadf8\ub798\ud504\uc640 \uc774\ub7ec\ud55c \uc720\ud615\uc758 \ud655\ub960 \ubd84\ud3ec\uc758 \uc18d\uc131\uc744 \ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ubca0\ud0c0 \ubc30\ud3ec\ub780 \ubb34\uc5c7\uc785\ub2c8\uae4c? \ubca0\ud0c0 \ubd84\ud3ec\ub294 \uad6c\uac04 (0,1)\uc5d0\uc11c \uc815\uc758\ub418\uace0 \ub450 \uac1c\uc758 \uc591\uc218 \ub9e4\uac1c\ubcc0\uc218\uc778 \u03b1\uc640 \u03b2\ub85c \ub9e4\uac1c\ubcc0\uc218\ud654\ub418\ub294 \ud655\ub960 \ubd84\ud3ec\uc785\ub2c8\ub2e4. \uc989, 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