{"id":447,"date":"2023-07-29T21:22:36","date_gmt":"2023-07-29T21:22:36","guid":{"rendered":"https:\/\/statorials.org\/tr\/tekduze-erkek-dagilimi\/"},"modified":"2023-07-29T21:22:36","modified_gmt":"2023-07-29T21:22:36","slug":"tekduze-erkek-dagilimi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/tekduze-erkek-dagilimi\/","title":{"rendered":"Tekd\u00fcze da\u011f\u0131l\u0131m i\u00e7in maksimum olas\u0131l\u0131k tahmini (mle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/uniforma-dagitimi\/\" target=\"_blank\" rel=\"noopener\">D\u00fczg\u00fcn da\u011f\u0131l\u0131m,<\/a> <em>a&#8217;dan<\/em> <em>b&#8217;ye<\/em> kadar olan aral\u0131ktaki her de\u011ferin ayn\u0131 se\u00e7ilme olas\u0131l\u0131\u011f\u0131na sahip oldu\u011fu bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>a&#8217;dan<\/em> <em>b&#8217;ye<\/em> kadar bir aral\u0131kta x <sub>1<\/sub> ile x <sub>2<\/sub> aras\u0131nda bir de\u011fer elde etme olas\u0131l\u0131\u011f\u0131 a\u015fa\u011f\u0131daki form\u00fcl kullan\u0131larak bulunabilir:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">P(x <sub>1<\/sub> ile x <sub>2<\/sub> aras\u0131nda bir de\u011fer elde edin) = (x<\/span> <span style=\"color: #000000;\"><sub>2<\/sub><\/span> <span style=\"color: #000000;\">\u2013 x <sub>1<\/sub> ) \/ (b \u2013 a)<\/span> <\/p>\n<p><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/uniforme_pic.jpg\" alt=\"Tekd\u00fcze da\u011f\u0131l\u0131m \u00f6rne\u011fi\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde, tekd\u00fcze da\u011f\u0131l\u0131m\u0131n <em>a<\/em> ve <em>b<\/em> parametreleri i\u00e7in <strong>maksimum olabilirlik tahmininin (MLE)<\/strong> nas\u0131l bulunaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Maksimum olas\u0131l\u0131k tahmini<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Olabilirlik fonksiyonunu yaz\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">D\u00fczg\u00fcn bir da\u011f\u0131l\u0131m i\u00e7in olabilirlik fonksiyonu \u015fu \u015fekilde yaz\u0131labilir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Log-olabilirlik fonksiyonunu yaz\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Log-olabilirlik fonksiyonunun <em>a<\/em> ve <em>b&#8217;ye<\/em> g\u00f6re t\u00fcrevini alarak log-olabilirli\u011fi maksimuma \u00e7\u0131karan <em>a<\/em> ve <em>b<\/em> de\u011ferlerini bulun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Log-olabilirlik fonksiyonunun <em>a&#8217;ya<\/em> g\u00f6re t\u00fcrevi \u015f\u00f6yle yaz\u0131labilir:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Benzer \u015fekilde log-olabilirlik fonksiyonunun <em>b&#8217;ye<\/em> g\u00f6re t\u00fcrevi de yaz\u0131labilir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: <em>a<\/em> ve <em>b i\u00e7in maksimum olabilirlik tahmin edicilerini belirleyin.<\/em><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">a&#8217;ya g\u00f6re t\u00fcrevin monoton olarak <em>artt\u0131\u011f\u0131na<\/em> dikkat edin. Yani <em>a&#8217;n\u0131n<\/em> erkek <em>m\u00fcmk\u00fcn oldu\u011fu<\/em> kadar b\u00fcy\u00fck olacakt\u0131r, bu da basit\u00e7e \u015f\u00f6yle olur:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">min(X <sub>1<\/sub> , X <sub>2<\/sub> , \u2026 , X <sub>n<\/sub> )<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ayr\u0131ca <em>b&#8217;ye<\/em> g\u00f6re t\u00fcrevin monoton olarak azald\u0131\u011f\u0131na dikkat edin. Yani <em>b&#8217;nin<\/em> erkek m\u00fcmk\u00fcn olan en k\u00fc\u00e7\u00fck <em>b&#8217;si<\/em> olacakt\u0131r, bu da \u015fu \u015fekilde olacakt\u0131r:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">maks(X <sub>1<\/sub> , X <sub>2<\/sub> , \u2026 , X <sub>n<\/sub> )<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>D\u00fczg\u00fcn da\u011f\u0131l\u0131m, a&#8217;dan b&#8217;ye kadar olan aral\u0131ktaki her de\u011ferin ayn\u0131 se\u00e7ilme olas\u0131l\u0131\u011f\u0131na sahip oldu\u011fu bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r. a&#8217;dan b&#8217;ye kadar bir aral\u0131kta x 1 ile x 2 aras\u0131nda bir de\u011fer elde etme olas\u0131l\u0131\u011f\u0131 a\u015fa\u011f\u0131daki form\u00fcl kullan\u0131larak bulunabilir: P(x 1 ile x 2 aras\u0131nda bir de\u011fer elde edin) = (x 2 \u2013 x 1 ) \/ [&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-447","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - 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