{"id":2999,"date":"2023-07-19T17:14:42","date_gmt":"2023-07-19T17:14:42","guid":{"rendered":"https:\/\/statorials.org\/tr\/pythonda-normal-cdf\/"},"modified":"2023-07-19T17:14:42","modified_gmt":"2023-07-19T17:14:42","slug":"pythonda-normal-cdf","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/pythonda-normal-cdf\/","title":{"rendered":"Python&#39;da normal cdf nas\u0131l hesaplan\u0131r ve \u00e7izilir"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">K\u00fcm\u00fclatif da\u011f\u0131l\u0131m fonksiyonu ( <strong>CDF<\/strong> ) bize <a href=\"https:\/\/statorials.org\/tr\/rastgele-degiskenler\/\" target=\"_blank\" rel=\"noopener\">bir rastgele de\u011fi\u015fkenin<\/a> belirli bir de\u011ferden k\u00fc\u00e7\u00fck veya ona e\u015fit bir de\u011fer alma olas\u0131l\u0131\u011f\u0131n\u0131 s\u00f6yler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde Python&#8217;da normal CDF de\u011ferlerinin nas\u0131l hesaplanaca\u011f\u0131 ve \u00e7izilece\u011fi a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Python&#8217;da Normal CDF Olas\u0131l\u0131klar\u0131n\u0131 Hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Python&#8217;da normal CDF olas\u0131l\u0131klar\u0131n\u0131 hesaplaman\u0131n en kolay yolu <a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/stats.html\" target=\"_blank\" rel=\"noopener\">SciPy<\/a> k\u00fct\u00fcphanesindeki <strong>norm.cdf()<\/strong> fonksiyonunu kullanmakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, standart normal da\u011f\u0131l\u0131mda bir rastgele de\u011fi\u015fkenin 1,96&#8217;dan k\u00fc\u00e7\u00fck bir de\u011fer alma olas\u0131l\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> norm\n<\/span>\n#calculate probability that random value is less than 1.96 in normal CDF<\/span>\n<span style=\"color: #000000;\">norm. <span style=\"color: #3366ff;\">cdf<\/span> ( <span style=\"color: #008000;\">1.96<\/span> )\n\n<\/span>0.9750021048517795\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bir rastgele de\u011fi\u015fkenin standart normal da\u011f\u0131l\u0131mda 1,96&#8217;dan k\u00fc\u00e7\u00fck bir de\u011fer alma olas\u0131l\u0131\u011f\u0131 yakla\u015f\u0131k <strong>0,975&#8217;tir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ayr\u0131ca bir rastgele de\u011fi\u015fkenin 1,96&#8217;dan b\u00fcy\u00fck bir de\u011fer alma olas\u0131l\u0131\u011f\u0131n\u0131 bu de\u011feri 1&#8217;den \u00e7\u0131kararak da bulabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> norm\n<\/span>\n#calculate probability that random value is greater than 1.96 in normal CDF<\/span>\n<span style=\"color: #000000;\">1 - norm. <span style=\"color: #3366ff;\">cdf<\/span> ( <span style=\"color: #008000;\">1.96<\/span> )\n\n<\/span>0.024997895148220484\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bir rastgele de\u011fi\u015fkenin standart normal da\u011f\u0131l\u0131mda 1,96&#8217;dan b\u00fcy\u00fck bir de\u011fer alma olas\u0131l\u0131\u011f\u0131 yakla\u015f\u0131k <strong>0,025&#8217;tir<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Normal CDF&#8217;nin \u00c7izilmesi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod Python&#8217;da normal bir CDF&#8217;nin nas\u0131l \u00e7izilece\u011fini g\u00f6sterir:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n<span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n<span style=\"color: #008000;\">import<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">as<\/span> ss\n\n<span style=\"color: #008080;\">#define x and y values to use for CDF\n<\/span>x = np. <span style=\"color: #3366ff;\">linspace<\/span> (-4, 4, 1000)\ny = ss. <span style=\"color: #3366ff;\">norm<\/span> . <span style=\"color: #3366ff;\">cdf<\/span> (x)\n\n<span style=\"color: #008080;\">#normal plot CDF\n<\/span>plt. <span style=\"color: #3366ff;\">plot<\/span> (x, y)<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-25881\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normcdf12.jpg\" alt=\"Python'da normal CDF\" width=\"550\" height=\"372\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">X ekseni standart normal da\u011f\u0131l\u0131ma uyan bir rastgele de\u011fi\u015fkenin de\u011ferlerini g\u00f6sterirken, y ekseni bir rastgele de\u011fi\u015fkenin x ekseninde g\u00f6sterilen de\u011ferden daha d\u00fc\u015f\u00fck bir de\u011fer alma olas\u0131l\u0131\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin x = 1,96&#8217;ya bakarsak x&#8217;in 1,96&#8217;dan k\u00fc\u00e7\u00fck olma ihtimalinin k\u00fcm\u00fclatif olas\u0131l\u0131\u011f\u0131n\u0131n yakla\u015f\u0131k <strong>0,975<\/strong> oldu\u011funu g\u00f6r\u00fcr\u00fcz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Normal CDF grafi\u011finin eksenlerinin renklerini ve etiketlerini de de\u011fi\u015ftirmekten \u00e7ekinmeyin:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n<span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n<span style=\"color: #008000;\">import<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">as<\/span> ss\n\n<span style=\"color: #008080;\">#define x and y values to use for CDF\n<\/span>x = np. <span style=\"color: #3366ff;\">linspace<\/span> (-4, 4, 1000)\ny = ss. <span style=\"color: #3366ff;\">norm<\/span> . <span style=\"color: #3366ff;\">cdf<\/span> (x)\n\n<span style=\"color: #008080;\">#normal plot CDF\n<\/span>plt. <span style=\"color: #3366ff;\">plot<\/span> (x,y,color=' <span style=\"color: #ff0000;\">red<\/span> ')\nplt. <span style=\"color: #3366ff;\">title<\/span> (' <span style=\"color: #ff0000;\">Normal CDF<\/span> ')\nplt. <span style=\"color: #3366ff;\">xlabel<\/span> (' <span style=\"color: #ff0000;\">x<\/span> ')\nplt. <span style=\"color: #3366ff;\">ylabel<\/span> (' <span style=\"color: #ff0000;\">CDF<\/span> ')\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-25882 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normcdf13.jpg\" alt=\"\" width=\"551\" height=\"383\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde Python&#8217;da di\u011fer yayg\u0131n i\u015flemlerin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/normal-dagilim-pythonu-olustur\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da Normal Da\u011f\u0131l\u0131m Nas\u0131l Olu\u015fturulur<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/normal-dagilim-pythonunun-grafigini-ciz\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da Normal Da\u011f\u0131l\u0131m Nas\u0131l \u00c7izilir<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>K\u00fcm\u00fclatif da\u011f\u0131l\u0131m fonksiyonu ( CDF ) bize bir rastgele de\u011fi\u015fkenin belirli bir de\u011ferden k\u00fc\u00e7\u00fck veya ona e\u015fit bir de\u011fer alma olas\u0131l\u0131\u011f\u0131n\u0131 s\u00f6yler. Bu e\u011fitimde Python&#8217;da normal CDF de\u011ferlerinin nas\u0131l hesaplanaca\u011f\u0131 ve \u00e7izilece\u011fi a\u00e7\u0131klanmaktad\u0131r. \u00d6rnek 1: Python&#8217;da Normal CDF Olas\u0131l\u0131klar\u0131n\u0131 Hesaplay\u0131n Python&#8217;da normal CDF olas\u0131l\u0131klar\u0131n\u0131 hesaplaman\u0131n en kolay yolu SciPy k\u00fct\u00fcphanesindeki norm.cdf() fonksiyonunu kullanmakt\u0131r. A\u015fa\u011f\u0131daki kod, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-2999","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python&#039;da Normal CDF Nas\u0131l Hesaplan\u0131r ve \u00c7izilir - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde Python&#039;da normal CDF&#039;nin nas\u0131l hesaplanaca\u011f\u0131 ve \u00e7izilece\u011fi birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\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\/tr\/pythonda-normal-cdf\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python&#039;da Normal CDF Nas\u0131l Hesaplan\u0131r ve \u00c7izilir - Statorials\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde Python&#039;da normal CDF&#039;nin nas\u0131l hesaplanaca\u011f\u0131 ve \u00e7izilece\u011fi birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/pythonda-normal-cdf\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-19T17:14:42+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normcdf12.jpg\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/pythonda-normal-cdf\/\",\"url\":\"https:\/\/statorials.org\/tr\/pythonda-normal-cdf\/\",\"name\":\"Python&#39;da Normal CDF Nas\u0131l Hesaplan\u0131r ve \u00c7izilir - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-19T17:14:42+00:00\",\"dateModified\":\"2023-07-19T17:14:42+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde Python&#39;da normal CDF&#39;nin nas\u0131l hesaplanaca\u011f\u0131 ve \u00e7izilece\u011fi birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/pythonda-normal-cdf\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/pythonda-normal-cdf\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/pythonda-normal-cdf\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Python&#39;da normal cdf nas\u0131l hesaplan\u0131r ve \u00e7izilir\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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