{"id":40826,"date":"2024-11-04T12:20:38","date_gmt":"2024-11-04T12:20:38","guid":{"rendered":"https:\/\/atmokpo.com\/w\/?p=40826"},"modified":"2024-11-26T06:38:20","modified_gmt":"2024-11-26T06:38:20","slug":"41-%ed%99%95%eb%a5%a0-%eb%b0%80%eb%8f%84-%ed%95%a8%ec%88%98pdf%ec%99%80-%eb%88%84%ec%a0%81-%eb%b6%84%ed%8f%ac-%ed%95%a8%ec%88%98cdf-%ed%99%95%eb%a5%a0-%ea%b3%84%ec%82%b0%ec%97%90%ec%84%9c-pdf","status":"publish","type":"post","link":"https:\/\/atmokpo.com\/w\/40826\/","title":{"rendered":"41.\ud655\ub960 \ubc00\ub3c4 \ud568\uc218(PDF)\uc640 \ub204\uc801 \ubd84\ud3ec \ud568\uc218(CDF), \ud655\ub960 \uacc4\uc0b0\uc5d0\uc11c PDF\uc640 CDF\uc758 \uc5ed\ud560"},"content":{"rendered":"<article>\n<header>\n<p>\uc791\uc131\uc77c: 2023\ub144 10\uc6d4 10\uc77c<\/p>\n<p>\uc791\uc131\uc790: \ud1b5\uacc4 \uc804\ubb38\uac00<\/p>\n<\/header>\n<section>\n<h2>1. \ud655\ub960 \ubc00\ub3c4 \ud568\uc218(PDF)\ub780?<\/h2>\n<p>\ud655\ub960 \ubc00\ub3c4 \ud568\uc218(Probability Density Function, PDF)\ub294 \uc5f0\uc18d\ud615 \ud655\ub960 \ubd84\ud3ec\ub97c \uc815\uc758\ud558\ub294 \ub370 \uc0ac\uc6a9\ub418\ub294 \ud568\uc218\uc785\ub2c8\ub2e4. \ud2b9\uc815\ud55c \uad6c\uac04\uc5d0 \uc18d\ud558\ub294 \ud655\ub960\uc744 \ub098\ud0c0\ub0b4\uae30 \uc704\ud574 \ubc00\ub3c4\ub97c \uc0ac\uc6a9\ud558\uba70, \uc774 \ubd84\ud3ec\ub294 \uc8fc\ub85c \uc2e4\uc218\uc120\uc0c1\uc758 \uc5f0\uc18d\ud615 \ubcc0\uc218\ub97c \ub2e4\ub8e8\ub294 \ub370 \ud65c\uc6a9\ub429\ub2c8\ub2e4. PDF\ub294 \ub2e4\uc74c\uacfc \uac19\uc740 \uc131\uc9c8\uc744 \uac16\uc2b5\ub2c8\ub2e4:<\/p>\n<ul>\n<li>PDF\uc758 \uac12\uc740 0 \uc774\uc0c1\uc785\ub2c8\ub2e4. \uc989, \ubaa8\ub4e0 x\uc5d0 \ub300\ud574 f(x) \u2265 0 \uc785\ub2c8\ub2e4.<\/li>\n<li>PDF\uc758 \uc804\uccb4 \uba74\uc801(\uc801\ubd84 \uac12)\uc740 1\uc785\ub2c8\ub2e4. \uc989, \u222b[\u2212\u221e, \u221e] f(x) dx = 1 \uc785\ub2c8\ub2e4.<\/li>\n<\/ul>\n<p>\uc608\ub97c \ub4e4\uc5b4, \uc815\uaddc \ubd84\ud3ec\uc758 PDF\ub294 \ub2e4\uc74c\uacfc \uac19\uc740 \uc218\uc2dd\uc73c\ub85c \uc815\uc758\ub429\ub2c8\ub2e4:<\/p>\n<p>\n            f(x) = (1 \/ (\u03c3\u221a(2\u03c0))) * e^(-(x-\u03bc)\u00b2 \/ (2\u03c3\u00b2))\n        <\/p>\n<p>\uc5ec\uae30\uc11c \u03bc\ub294 \ud3c9\uade0, \u03c3\ub294 \ud45c\uc900\ud3b8\ucc28\ub97c \ub098\ud0c0\ub0c5\ub2c8\ub2e4. \uc774 PDF\ub294 x\uac00 \ud2b9\uc815\ud55c \uac12\uc5d0 \uadfc\uc811\ud560\uc218\ub85d \ud574\ub2f9 \uac12\uc774 \ub098\uc62c \ud655\ub960\uc774 \ub192\uc544\uc9d0\uc744 \uc758\ubbf8\ud569\ub2c8\ub2e4.<\/p>\n<\/section>\n<section>\n<h2>2. \ub204\uc801 \ubd84\ud3ec \ud568\uc218(CDF)\ub780?<\/h2>\n<p>\ub204\uc801 \ubd84\ud3ec \ud568\uc218(Cumulative Distribution Function, CDF)\ub294 \ud2b9\uc815 \uac12 \uc774\ud558\uc758 \ud655\ub960\uc744 \ub098\ud0c0\ub0b4\ub294 \ud568\uc218\uc785\ub2c8\ub2e4. \uc989, CDF\ub294 \ud655\ub960 \ubcc0\uc218\uac00 \ud2b9\uc815 \uac12\uc744 \ucd08\uacfc\ud560 \ud655\ub960\uc744 \uacc4\uc0b0\ud558\ub294 \ub370 \uc720\uc6a9\ud569\ub2c8\ub2e4. CDF\ub294 \ub2e4\uc74c\uacfc \uac19\uc740 \uc131\uc9c8\uc744 \uac00\uc9d1\ub2c8\ub2e4:<\/p>\n<ul>\n<li>CDF\ub294 0\uc5d0\uc11c 1 \uc0ac\uc774\uc758 \uac12\uc73c\ub85c \uc815\uc758\ub429\ub2c8\ub2e4. \uc989, 0 \u2264 F(x) \u2264 1 \uc785\ub2c8\ub2e4.<\/li>\n<li>F(x)\ub294 non-decreasing \ud568\uc218\uc785\ub2c8\ub2e4. \uc989, \ub9cc\uc57d a &lt; b \ub77c\uba74 F(a) \u2264 F(b) \uc785\ub2c8\ub2e4.<\/li>\n<\/ul>\n<p>\uc815\uaddc \ubd84\ud3ec\uc5d0 \ub300\ud55c CDF\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \uacc4\uc0b0\ub429\ub2c8\ub2e4:<\/p>\n<p>\n            F(x) = \u222b[\u2212\u221e, x] f(t) dt\n        <\/p>\n<p>\uc774 \uc218\uc2dd\uc740 x \uc774\ud558\uc758 \ubaa8\ub4e0 \uac12\uc5d0 \ub300\ud574 PDF\ub97c \uc801\ubd84\ud55c \uacb0\uacfc\ub85c, \ud2b9\uc815 \uac12\uae4c\uc9c0\uc758 \ub204\uc801 \ud655\ub960\uc744 \uad6c\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<\/section>\n<section>\n<h2>3. PDF\uc640 CDF\uc758 \uad00\uacc4<\/h2>\n<p>PDF\uc640 CDF \uc0ac\uc774\uc5d0\ub294 \uc911\uc694\ud55c \uad00\uacc4\uac00 \uc788\uc2b5\ub2c8\ub2e4. CDF\ub294 PDF\uc758 \uc801\ubd84\uc73c\ub85c, PDF\ub294 CDF\uc758 \ub3c4\ud568\uc218\ub85c \ub098\ud0c0\ub0bc \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc774\ub7ec\ud55c \uc218\ud559\uc801 \uad00\uacc4\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4:<\/p>\n<ul>\n<li>PDF\uc640 CDF\uc758 \uad00\uacc4 (\uc5f0\uc18d\ud615 \ud655\ub960 \ubd84\ud3ec\uc758 \uacbd\uc6b0):\n<p>\n                    F(x) = \u222b[\u2212\u221e, x] f(t) dt\n                <\/p>\n<\/li>\n<li>PDF\uc640 CDF\uc758 \ub3c4\ud568\uc218 \uad00\uacc4:\n<p>\n                    f(x) = dF(x) \/ dx\n                <\/p>\n<\/li>\n<\/ul>\n<p>\uc774\ub7ec\ud55c \uad00\uacc4\ub294 PDF\uc640 CDF\uc758 \uc5ed\ud560\uc744 \uba85\ud655\ud558\uac8c \uc774\ud574\ud558\ub294 \ub370 \ub3c4\uc6c0\uc744 \uc90d\ub2c8\ub2e4.<\/p>\n<\/section>\n<section>\n<h2>4. \ud655\ub960 \uacc4\uc0b0\uc5d0\uc11c PDF\uc640 CDF\uc758 \uc5ed\ud560<\/h2>\n<p>\ud655\ub960 \uacc4\uc0b0\uc5d0\uc11c PDF\uc640 CDF\ub294 \uc911\uc694\ud55c \ub3c4\uad6c\uc785\ub2c8\ub2e4. \uc5f0\uc18d\ud615 \ud655\ub960 \ubd84\ud3ec\uc5d0\uc11c \ud2b9\uc815 \uac12\uc5d0 \ub300\ud55c \ud655\ub960\uc744 \uad6c\ud560 \uc218 \uc788\ub294 \ubc29\ubc95\uc740 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4:<\/p>\n<h3>4.1 \ud2b9\uc815 \uad6c\uac04\uc758 \ud655\ub960 \uacc4\uc0b0<\/h3>\n<p>\uc5f0\uc18d\ud615 \ud655\ub960 \ubcc0\uc218\uac00 \ud2b9\uc815 \uad6c\uac04 [a, b]\uc5d0 \uc788\uc744 \ud655\ub960\uc740 \ud574\ub2f9 \uad6c\uac04\uc758 PDF\ub97c \uc801\ubd84\ud558\uc5ec \uad6c\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4:<\/p>\n<p>\n            P(a \u2264 X \u2264 b) = \u222b[a, b] f(x) dx\n        <\/p>\n<h3>4.2 \ud2b9\uc815 \uac12 \uc774\ud558\uc758 \ud655\ub960 \uacc4\uc0b0<\/h3>\n<p>\ud2b9\uc815 \uac12 x \uc774\ud558\uc758 \ud655\ub960\uc740 \uadf8 \uac12\uc758 CDF\ub97c \uc0ac\uc6a9\ud558\uc5ec \uac04\ub2e8\ud788 \uacc4\uc0b0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4:<\/p>\n<p>\n            P(X \u2264 x) = F(x)\n        <\/p>\n<h3>4.3 \ud2b9\uc815 \uac12 \ucd08\uacfc\uc758 \ud655\ub960 \uacc4\uc0b0<\/h3>\n<p>\ud2b9\uc815 \uac12 x \ucd08\uacfc\uc758 \ud655\ub960\uc740 \ub2e4\uc74c\uacfc \uac19\uc774 \uad6c\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4:<\/p>\n<p>\n            P(X &gt; x) = 1 &#8211; F(x)\n        <\/p>\n<p>\uc774\ub7ec\ud55c \uacc4\uc0b0\uc740 \ud1b5\uacc4\uc801 \uacb0\uc815\uc744 \ub0b4\ub9ac\ub294 \ub370 \ud544\uc218\uc801\uc785\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uc5b4, \uc2e0\ub8b0 \uad6c\uac04(confidence interval) \uc124\uc815\uc774\ub098 \uac00\uc124 \uac80\uc815(hypothesis testing) \ub4f1\uc758 \ud1b5\uacc4\uc801 \ubc29\ubc95\uc5d0\uc11c PDF\uc640 CDF\ub294 \uc911\uc694\ud55c \uc5ed\ud560\uc744 \ud569\ub2c8\ub2e4.<\/p>\n<\/section>\n<section>\n<h2>5. \uc608\uc81c: \uc815\uaddc \ubd84\ud3ec\uc5d0\uc11c\uc758 PDF\uc640 CDF<\/h2>\n<p>\uc784\uc758\uc758 \uc815\uaddc \ubd84\ud3ec N(\u03bc, \u03c3\u00b2)\uc5d0 \ub300\ud574, \u03bc = 0, \u03c3 = 1\uc778 \ud45c\uc900 \uc815\uaddc \ubd84\ud3ec\ub97c \uc608\ub85c \ub4e4\uc5b4\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc774\ub54c PDF\uc640 CDF\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4:<\/p>\n<h3>PDF \uacc4\uc0b0<\/h3>\n<p>\ud45c\uc900 \uc815\uaddc \ubd84\ud3ec\uc758 PDF\ub294:<\/p>\n<p>\n            f(x) = (1 \/ \u221a(2\u03c0)) * e^(-x\u00b2 \/ 2)\n        <\/p>\n<h3>CDF \uacc4\uc0b0<\/h3>\n<p>\ud45c\uc900 \uc815\uaddc \ubd84\ud3ec\uc758 CDF\ub294:<\/p>\n<p>\n            F(x) = (1\/2) * [1 + erf(x \/ \u221a2)]\n        <\/p>\n<p>\uc5ec\uae30\uc11c erf\ub294 \uc624\ucc28 \ud568\uc218(error function)\uc785\ub2c8\ub2e4.<\/p>\n<\/section>\n<section>\n<h2>6. \uacb0\ub860<\/h2>\n<p>\ud655\ub960 \ubc00\ub3c4 \ud568\uc218(PDF)\uc640 \ub204\uc801 \ubd84\ud3ec \ud568\uc218(CDF)\ub294 \uc5f0\uc18d\ud615 \ud655\ub960 \ubd84\ud3ec\uc5d0\uc11c \ud544\uc218\uc801\uc778 \uac1c\ub150\uc774\uba70, \uc774\ub4e4 \uac04\uc758 \uad00\uacc4\ub294 \ud655\ub960 \uacc4\uc0b0\uc5d0\uc11c \ub9e4\uc6b0 \uc911\uc694\ud569\ub2c8\ub2e4. PDF\ub294 \ud655\ub960 \ubc00\ub3c4\ub97c \ub098\ud0c0\ub0b4\uace0, CDF\ub294 \ud655\ub960\uc758 \ub204\uc801\uc744 \ub098\ud0c0\ub0b4\ub294 \ud568\uc218\ub85c, \uc774\ub97c \ud1b5\ud574 \ub2e4\uc591\ud55c \ud1b5\uacc4\uc801 \uacc4\uc0b0\uc774 \uac00\ub2a5\ud569\ub2c8\ub2e4. PDF\uc640 CDF\ub294 \ud1b5\uacc4\ud559, \ub370\uc774\ud130 \ubd84\uc11d, \uba38\uc2e0\ub7ec\ub2dd \ub4f1 \ub2e4\uc591\ud55c \ubd84\uc57c\uc5d0\uc11c\ub3c4 \uad11\ubc94\uc704\ud558\uac8c \uc751\uc6a9\ub418\uace0 \uc788\uc73c\ubbc0\ub85c, \uc774\ub4e4\uc5d0 \ub300\ud55c \ucda9\ubd84\ud55c \uc774\ud574\ub294 \ud544\uc218\uc801\uc785\ub2c8\ub2e4.<\/p>\n<footer>\n<p>\uc704\uc758 \ub0b4\uc6a9\uc740 \ud655\ub960 \ubc00\ub3c4 \ud568\uc218(PDF)\uc640 \ub204\uc801 \ubd84\ud3ec \ud568\uc218(CDF)\uc5d0 \uad00\ud55c \uac15\uc88c\uc785\ub2c8\ub2e4. \uc774 \ub0b4\uc6a9\uc744 \ubc14\ud0d5\uc73c\ub85c \ud655\ub960 \uc774\ub860\uc744 \ub354\uc6b1 \uae4a\uc774 \uc774\ud574\ud560 \uc218 \uc788\uae30\ub97c \ubc14\ub78d\ub2c8\ub2e4.<\/p>\n<\/footer>\n<\/section>\n<\/article>\n","protected":false},"excerpt":{"rendered":"<p>\uc791\uc131\uc77c: 2023\ub144 10\uc6d4 10\uc77c \uc791\uc131\uc790: \ud1b5\uacc4 \uc804\ubb38\uac00 1. \ud655\ub960 \ubc00\ub3c4 \ud568\uc218(PDF)\ub780? \ud655\ub960 \ubc00\ub3c4 \ud568\uc218(Probability Density Function, PDF)\ub294 \uc5f0\uc18d\ud615 \ud655\ub960 \ubd84\ud3ec\ub97c \uc815\uc758\ud558\ub294 \ub370 \uc0ac\uc6a9\ub418\ub294 \ud568\uc218\uc785\ub2c8\ub2e4. \ud2b9\uc815\ud55c \uad6c\uac04\uc5d0 \uc18d\ud558\ub294 \ud655\ub960\uc744 \ub098\ud0c0\ub0b4\uae30 \uc704\ud574 \ubc00\ub3c4\ub97c \uc0ac\uc6a9\ud558\uba70, \uc774 \ubd84\ud3ec\ub294 \uc8fc\ub85c \uc2e4\uc218\uc120\uc0c1\uc758 \uc5f0\uc18d\ud615 \ubcc0\uc218\ub97c \ub2e4\ub8e8\ub294 \ub370 \ud65c\uc6a9\ub429\ub2c8\ub2e4. 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