{"id":542,"date":"2023-07-29T13:54:31","date_gmt":"2023-07-29T13:54:31","guid":{"rendered":"https:\/\/statorials.org\/tr\/cdf-vs-pdf\/"},"modified":"2023-07-29T13:54:31","modified_gmt":"2023-07-29T13:54:31","slug":"cdf-vs-pdf","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/cdf-vs-pdf\/","title":{"rendered":"Cdf veya pdf: fark nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Bu e\u011fitici istatistikte PDF (olas\u0131l\u0131k yo\u011funluk fonksiyonu) ile CDF (k\u00fcm\u00fclatif da\u011f\u0131l\u0131m fonksiyonu) aras\u0131ndaki fark\u0131n basit bir a\u00e7\u0131klamas\u0131n\u0131 sa\u011flar.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Rastgele de\u011fi\u015fkenler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir PDF veya CDF&#8217;yi tan\u0131mlamadan \u00f6nce rastgele de\u011fi\u015fkenleri anlamam\u0131z gerekir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Genellikle X ile g\u00f6sterilen <a href=\"https:\/\/statorials.org\/tr\/rastgele-degiskenler\/\" target=\"_blank\" rel=\"noopener\"><strong>rastgele de\u011fi\u015fken<\/strong><\/a> , de\u011ferleri rastgele bir s\u00fcrecin say\u0131sal sonu\u00e7lar\u0131 olan bir de\u011fi\u015fkendir. \u0130ki t\u00fcr rastgele de\u011fi\u015fken vard\u0131r: kesikli ve s\u00fcrekli.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ayr\u0131k rastgele de\u011fi\u015fkenler<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ayr\u0131k bir rastgele de\u011fi\u015fken,<\/strong> yaln\u0131zca 0, 1, 2, 3, 4, 5\u2026 100, 1 milyon vb. gibi say\u0131labilir say\u0131da farkl\u0131 de\u011fer alabilen bir de\u011fi\u015fkendir. Ayr\u0131k rastgele de\u011fi\u015fkenlere baz\u0131 \u00f6rnekler:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Bir paran\u0131n 20 kez at\u0131lmas\u0131ndan sonra yaz\u0131 gelme say\u0131s\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bir zar\u0131n 100 kez at\u0131ld\u0131ktan sonra <em>4<\/em> rakam\u0131na gelme say\u0131s\u0131.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>S\u00fcrekli rastgele de\u011fi\u015fkenler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>S\u00fcrekli rastgele de\u011fi\u015fken,<\/strong> sonsuz say\u0131da olas\u0131 de\u011fer alabilen bir de\u011fi\u015fkendir. S\u00fcrekli rastgele de\u011fi\u015fkenlere baz\u0131 \u00f6rnekler:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Bir ki\u015finin y\u00fcksekli\u011fi<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bir hayvan\u0131n a\u011f\u0131rl\u0131\u011f\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bir Mil Y\u00fcr\u00fcmek \u0130\u00e7in Ge\u00e7en Zaman<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir ki\u015finin boyu 60,2 in\u00e7, 65,2344 in\u00e7, 70,431222 in\u00e7 vb. olabilir. Boyut i\u00e7in sonsuz say\u0131da olas\u0131 de\u011fer vard\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"text-decoration: underline;\">Genel kural:<\/span> E\u011fer sonu\u00e7lar\u0131n say\u0131s\u0131n\u0131 <i>sayabiliyorsan\u0131z<\/i> , o zaman ayr\u0131 bir rastgele de\u011fi\u015fkenle \u00e7al\u0131\u015f\u0131yorsunuz demektir (\u00f6rne\u011fin, bir madalyonun ka\u00e7 kez tura geldi\u011fini saymak). Ancak sonucu <i>\u00f6l\u00e7ebiliyorsan\u0131z<\/i> , s\u00fcrekli bir rastgele de\u011fi\u015fkenle (\u00f6rne\u011fin \u00f6l\u00e7\u00fcm, boy, a\u011f\u0131rl\u0131k, zaman vb.) \u00e7al\u0131\u015f\u0131yorsunuz demektir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Olas\u0131l\u0131k yo\u011funluk fonksiyonlar\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>Olas\u0131l\u0131k yo\u011funluk fonksiyonu<\/strong> (pdf) bize rastgele bir de\u011fi\u015fkenin belirli bir de\u011feri alma olas\u0131l\u0131\u011f\u0131n\u0131 anlat\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin bir zar\u0131 bir kez att\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m. Zar\u0131n \u00fczerine geldi\u011fi say\u0131y\u0131 <em>x<\/em> olarak kabul edersek, sonu\u00e7 i\u00e7in olas\u0131l\u0131k yo\u011funluk fonksiyonu \u015fu \u015fekilde tan\u0131mlanabilir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(x &lt; 1)<\/strong> : 0<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(x = 1)<\/strong> : 1\/6<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(x = 2)<\/strong> : 1\/6<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(x = 3)<\/strong> : 1\/6<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(x = 4)<\/strong> : 1\/6<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(x = 5)<\/strong> : 1\/6<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(x = 6)<\/strong> : 1\/6<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(x &gt; 6)<\/strong> : 0<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>X&#8217;in<\/em> yaln\u0131zca tam say\u0131 de\u011ferleri alabildi\u011finden bunun ayr\u0131k bir rastgele de\u011fi\u015fken \u00f6rne\u011fi oldu\u011funa dikkat edin.<\/span><\/p>\n<p> <span style=\"color: #000000;\">S\u00fcrekli bir rastgele de\u011fi\u015fken i\u00e7in, <em>x&#8217;in<\/em> tam bir de\u011fer alma olas\u0131l\u0131\u011f\u0131 s\u0131f\u0131r oldu\u011fundan PDF&#8217;yi do\u011frudan kullanamay\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir restorandaki hamburgerin \u00e7eyrek pound (0,25 pound) a\u011f\u0131rl\u0131\u011f\u0131nda olma olas\u0131l\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m. <em>A\u011f\u0131rl\u0131k<\/em> s\u00fcrekli bir de\u011fi\u015fken oldu\u011fundan sonsuz say\u0131da de\u011fer alabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir hamburgerin a\u011f\u0131rl\u0131\u011f\u0131 asl\u0131nda 0,250001 pound, 0,24 pound veya 0,2488 pound olabilir. Belirli bir hamburgerin tam olarak 0,25 pound a\u011f\u0131rl\u0131\u011f\u0131nda olma olas\u0131l\u0131\u011f\u0131 asl\u0131nda s\u0131f\u0131rd\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>K\u00fcm\u00fclatif Da\u011f\u0131t\u0131m Fonksiyonlar\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>K\u00fcm\u00fclatif da\u011f\u0131l\u0131m fonksiyonu<\/strong> (cdf) bize bir rastgele de\u011fi\u015fkenin <em>x&#8217;ten<\/em> 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;\">\u00d6rne\u011fin bir zar\u0131 bir kez att\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m. Zar\u0131n \u00fczerine geldi\u011fi say\u0131y\u0131 <em>x<\/em> olarak kabul edersek, sonucun k\u00fcm\u00fclatif da\u011f\u0131l\u0131m fonksiyonu \u015fu \u015fekilde tan\u0131mlanabilir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(x \u2264 0)<\/strong> : 0<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(x \u2264 1)<\/strong> : 1\/6<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(x \u2264 2)<\/strong> : 2\/6<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(x \u2264 3)<\/strong> : 3\/6<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(x \u2264 4)<\/strong> : 4\/6<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(x \u2264 5)<\/strong> : 5\/6<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(x \u2264 6)<\/strong> : 6\/6<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(x &gt; 6)<\/strong> : 0<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>X&#8217;in<\/em> <em>6&#8217;dan<\/em> k\u00fc\u00e7\u00fck veya ona e\u015fit olma olas\u0131l\u0131\u011f\u0131n\u0131n 6\/6, yani 1 oldu\u011funu unutmay\u0131n. Bunun nedeni, zarlar\u0131n %100 olas\u0131l\u0131kla 1, 2, 3, 4, 5 veya 6&#8217;ya d\u00fc\u015fmesidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnekte ayr\u0131 bir rastgele de\u011fi\u015fken kullan\u0131lmaktad\u0131r, ancak s\u00fcrekli bir rastgele de\u011fi\u015fken i\u00e7in s\u00fcrekli bir yo\u011funluk fonksiyonu da kullan\u0131labilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">K\u00fcm\u00fclatif da\u011f\u0131l\u0131m fonksiyonlar\u0131 a\u015fa\u011f\u0131daki \u00f6zelliklere sahiptir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Bir rastgele de\u011fi\u015fkenin m\u00fcmk\u00fcn olan en k\u00fc\u00e7\u00fck de\u011ferden daha k\u00fc\u00e7\u00fck bir de\u011fer alma olas\u0131l\u0131\u011f\u0131 s\u0131f\u0131rd\u0131r. \u00d6rne\u011fin bir zar\u0131n 1&#8217;den k\u00fc\u00e7\u00fck bir de\u011fere gelme olas\u0131l\u0131\u011f\u0131 s\u0131f\u0131rd\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bir rastgele de\u011fi\u015fkenin m\u00fcmk\u00fcn olan en b\u00fcy\u00fck de\u011ferden k\u00fc\u00e7\u00fck veya ona e\u015fit bir de\u011fer alma olas\u0131l\u0131\u011f\u0131 birdir. \u00d6rne\u011fin bir zar\u0131n 1, 2, 3, 4, 5 veya 6 de\u011ferine gelme olas\u0131l\u0131\u011f\u0131 birdir. Bu numaralardan birine inmesi gerekiyor.<\/span><\/li>\n<li> <span style=\"color: #000000;\">CDF her zaman azalmaz. Yani zar\u0131n 1&#8217;den k\u00fc\u00e7\u00fck veya e\u015fit bir say\u0131ya d\u00fc\u015fme olas\u0131l\u0131\u011f\u0131 1\/6, 2&#8217;den k\u00fc\u00e7\u00fck veya e\u015fit bir say\u0131ya d\u00fc\u015fme olas\u0131l\u0131\u011f\u0131 2\/6, zar\u0131n 1&#8217;den k\u00fc\u00e7\u00fck veya e\u015fit bir say\u0131ya d\u00fc\u015fme olas\u0131l\u0131\u011f\u0131 2\/6, 3&#8217;ten k\u00fc\u00e7\u00fck veya ona e\u015fit olan say\u0131 3\/6&#8217;d\u0131r vb. K\u00fcm\u00fclatif olas\u0131l\u0131klar her zaman azalmaz.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u0130lgili:<\/strong> K\u00fcm\u00fclatif bir da\u011f\u0131t\u0131m i\u015flevini g\u00f6rselle\u015ftirmek i\u00e7in bir <a href=\"https:\/\/statorials.org\/tr\/excel-savas-basligi\/\" target=\"_blank\" rel=\"noopener\">ojiv grafi\u011fi<\/a> kullanabilirsiniz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>CDF ile PDF aras\u0131ndaki ili\u015fki<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Teknik a\u00e7\u0131dan, olas\u0131l\u0131k yo\u011funluk fonksiyonu (pdf), k\u00fcm\u00fclatif da\u011f\u0131l\u0131m fonksiyonunun (cdf) t\u00fcrevidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ek olarak, bir pdf e\u011frisinin alt\u0131nda negatif sonsuzluk ile <em>x<\/em> aras\u0131ndaki alan, cdf&#8217;deki <em>x<\/em> de\u011ferine e\u015fittir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir pdf ile bir cdf aras\u0131ndaki ili\u015fkinin kapsaml\u0131 bir a\u00e7\u0131klamas\u0131 ve ayr\u0131ca pdf&#8217;in neden cdf&#8217;nin t\u00fcrevi oldu\u011funun kan\u0131t\u0131 i\u00e7in bir istatistik ders kitab\u0131na bak\u0131n.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu e\u011fitici istatistikte PDF (olas\u0131l\u0131k yo\u011funluk fonksiyonu) ile CDF (k\u00fcm\u00fclatif da\u011f\u0131l\u0131m fonksiyonu) aras\u0131ndaki fark\u0131n basit bir a\u00e7\u0131klamas\u0131n\u0131 sa\u011flar. Rastgele de\u011fi\u015fkenler Bir PDF veya CDF&#8217;yi tan\u0131mlamadan \u00f6nce rastgele de\u011fi\u015fkenleri anlamam\u0131z gerekir. Genellikle X ile g\u00f6sterilen rastgele de\u011fi\u015fken , de\u011ferleri rastgele bir s\u00fcrecin say\u0131sal sonu\u00e7lar\u0131 olan bir de\u011fi\u015fkendir. \u0130ki t\u00fcr rastgele de\u011fi\u015fken vard\u0131r: kesikli ve s\u00fcrekli. Ayr\u0131k [&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-542","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>CDF veya PDF: fark nedir? - Statorials<\/title>\n<meta name=\"description\" content=\"PDF (olas\u0131l\u0131k yo\u011funluk fonksiyonu) ile CDF (k\u00fcm\u00fclatif da\u011f\u0131l\u0131m fonksiyonu) aras\u0131ndaki fark\u0131n basit bir a\u00e7\u0131klamas\u0131.\" \/>\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\/cdf-vs-pdf\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"CDF veya PDF: fark nedir? - Statorials\" \/>\n<meta property=\"og:description\" content=\"PDF (olas\u0131l\u0131k yo\u011funluk fonksiyonu) ile CDF (k\u00fcm\u00fclatif da\u011f\u0131l\u0131m fonksiyonu) aras\u0131ndaki fark\u0131n basit bir a\u00e7\u0131klamas\u0131.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/cdf-vs-pdf\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T13:54:31+00:00\" \/>\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=\"5 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/cdf-vs-pdf\/\",\"url\":\"https:\/\/statorials.org\/tr\/cdf-vs-pdf\/\",\"name\":\"CDF veya PDF: fark nedir? - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-29T13:54:31+00:00\",\"dateModified\":\"2023-07-29T13:54:31+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"PDF (olas\u0131l\u0131k yo\u011funluk fonksiyonu) ile CDF (k\u00fcm\u00fclatif da\u011f\u0131l\u0131m fonksiyonu) aras\u0131ndaki fark\u0131n basit bir a\u00e7\u0131klamas\u0131.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/cdf-vs-pdf\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/cdf-vs-pdf\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/cdf-vs-pdf\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Cdf veya pdf: fark nedir?\"}]},{\"@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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