{"id":1204,"date":"2023-07-27T07:30:47","date_gmt":"2023-07-27T07:30:47","guid":{"rendered":"https:\/\/statorials.org\/tr\/mle-balik-dagitimi\/"},"modified":"2023-07-27T07:30:47","modified_gmt":"2023-07-27T07:30:47","slug":"mle-balik-dagitimi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/mle-balik-dagitimi\/","title":{"rendered":"Poisson da\u011f\u0131l\u0131m\u0131 i\u00e7in mle (ad\u0131m ad\u0131m)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Maksimum olabilirlik tahmini<\/strong> (MLE), belirli bir da\u011f\u0131l\u0131m\u0131n parametrelerini tahmin etmek i\u00e7in kullan\u0131labilen bir y\u00f6ntemdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde bir <a href=\"https:\/\/statorials.org\/tr\/balik-dagitimi\/\" target=\"_blank\" rel=\"noopener noreferrer\">Poisson da\u011f\u0131l\u0131m\u0131n\u0131n<\/a> \u03bb parametresi i\u00e7in MLE&#8217;nin nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: PDF&#8217;yi yaz\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk olarak Poisson da\u011f\u0131l\u0131m\u0131n\u0131n olas\u0131l\u0131k yo\u011funluk fonksiyonunu yaz\u0131n:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11923 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/poissonmle.png\" alt=\"Poisson olas\u0131l\u0131k yo\u011funluk fonksiyonu\" width=\"210\" height=\"55\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Olabilirlik fonksiyonunu yaz\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra olabilirlik fonksiyonunu yaz\u0131n. Bu basit\u00e7e g\u00f6zlemlenen x <sub>1<\/sub> , \u2026, x <sub>n<\/sub> de\u011ferleri i\u00e7in PDF&#8217;nin \u00e7arp\u0131m\u0131d\u0131r.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11924 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/poissonmle2.png\" alt=\"Poisson da\u011f\u0131l\u0131m\u0131n\u0131n olas\u0131l\u0131k fonksiyonu\" width=\"242\" height=\"67\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Do\u011fal logaritman\u0131n olabilirlik fonksiyonunu yaz\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Hesaplamalar\u0131 basitle\u015ftirmek i\u00e7in do\u011fal olabilirlik fonksiyonunu yazabiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11925 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/poissonmle3.png\" alt=\"\" width=\"410\" height=\"355\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: Do\u011fal olabilirlik fonksiyonunun \u03bb&#8217;ya g\u00f6re t\u00fcrevini hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra do\u011fal olabilirlik fonksiyonunun t\u00fcrevini \u03bb parametresine g\u00f6re hesaplayabiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11933 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/poissonmle7.png\" alt=\"\" width=\"502\" height=\"147\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 5: T\u00fcrevi s\u0131f\u0131ra e\u015fitleyin ve \u03bb&#8217;y\u0131 bulun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Son olarak, \u00f6nceki ad\u0131mdaki t\u00fcrevi s\u0131f\u0131ra e\u015fitliyoruz ve \u03bb&#8217;y\u0131 basit\u00e7e \u00e7\u00f6z\u00fcyoruz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11929 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/poissonmle5.png\" alt=\"Poisson da\u011f\u0131l\u0131m\u0131n\u0131n MLE'si\" width=\"191\" height=\"155\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">B\u00f6ylece MLE \u015fu \u015fekilde ortaya \u00e7\u0131k\u0131yor:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11930 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/poissonmle6.png\" alt=\"Poisson da\u011f\u0131l\u0131m\u0131n\u0131n maksimum olabilirlik tahmini\" width=\"135\" height=\"71\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu, numunedeki <em>n<\/em> g\u00f6zlemin <strong>numune ortalamas\u0131na<\/strong> e\u015fde\u011ferdir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/balik-dagitimi\/\" target=\"_blank\" rel=\"noopener noreferrer\">Poisson da\u011f\u0131l\u0131m\u0131na giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/balik-dagitim-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener noreferrer\">Bal\u0131k Da\u011f\u0131t\u0131m\u0131 Hesaplay\u0131c\u0131s\u0131<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/balik-dagitim-excel\/\" target=\"_blank\" rel=\"noopener noreferrer\">Excel&#8217;de Poisson da\u011f\u0131l\u0131m\u0131 nas\u0131l kullan\u0131l\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Maksimum olabilirlik tahmini (MLE), belirli bir da\u011f\u0131l\u0131m\u0131n parametrelerini tahmin etmek i\u00e7in kullan\u0131labilen bir y\u00f6ntemdir. Bu e\u011fitimde bir Poisson da\u011f\u0131l\u0131m\u0131n\u0131n \u03bb parametresi i\u00e7in MLE&#8217;nin nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. Ad\u0131m 1: PDF&#8217;yi yaz\u0131n. \u0130lk olarak Poisson da\u011f\u0131l\u0131m\u0131n\u0131n olas\u0131l\u0131k yo\u011funluk fonksiyonunu yaz\u0131n: Ad\u0131m 2: Olabilirlik fonksiyonunu yaz\u0131n. Daha sonra olabilirlik fonksiyonunu yaz\u0131n. Bu basit\u00e7e g\u00f6zlemlenen x 1 , \u2026, [&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-1204","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>Poisson da\u011f\u0131l\u0131m\u0131 i\u00e7in MLE (ad\u0131m ad\u0131m) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, ad\u0131m ad\u0131m bir s\u00fcre\u00e7 de dahil olmak \u00fczere bir Poisson da\u011f\u0131l\u0131m\u0131 i\u00e7in MLE&#039;nin nas\u0131l hesaplanaca\u011f\u0131 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\/mle-balik-dagitimi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Poisson da\u011f\u0131l\u0131m\u0131 i\u00e7in MLE (ad\u0131m ad\u0131m) - 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