{"id":1394,"date":"2023-07-26T13:50:04","date_gmt":"2023-07-26T13:50:04","guid":{"rendered":"https:\/\/statorials.org\/tr\/ucgen-dagilim\/"},"modified":"2023-07-26T13:50:04","modified_gmt":"2023-07-26T13:50:04","slug":"ucgen-dagilim","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ucgen-dagilim\/","title":{"rendered":"\u00dc\u00e7gen da\u011f\u0131l\u0131ma giri\u015f"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u00dc\u00e7gen da\u011f\u0131l\u0131m,<\/strong> \u00fc\u00e7gen \u015feklinde bir olas\u0131l\u0131k yo\u011funluk fonksiyonuna sahip s\u00fcrekli bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00dc\u00e7 de\u011ferle tan\u0131mlan\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Minimum <em>de\u011fer<\/em><\/span><\/li>\n<li> <span style=\"color: #000000;\">Maksimum de\u011fer <em>b<\/em><\/span><\/li>\n<li> <span style=\"color: #000000;\">Maksimum de\u011fer <em>c<\/em><\/span> <\/li>\n<\/ul>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13844 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/triangulaire1-1.png\" alt=\"\u00dc\u00e7gen da\u011f\u0131l\u0131m\" width=\"450\" height=\"364\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Da\u011f\u0131l\u0131m\u0131n ad\u0131 olas\u0131l\u0131k yo\u011funluk fonksiyonunun \u00fc\u00e7gen \u015feklinde olmas\u0131ndan kaynaklanmaktad\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu da\u011f\u0131l\u0131m\u0131n ger\u00e7ek d\u00fcnyada son derece yararl\u0131 oldu\u011fu ortaya \u00e7\u0131kt\u0131 \u00e7\u00fcnk\u00fc genellikle <a href=\"https:\/\/statorials.org\/tr\/rastgele-degiskenler\/\" target=\"_blank\" rel=\"noopener\">bir rastgele de\u011fi\u015fkenin<\/a> alaca\u011f\u0131 minimum de\u011feri (a), maksimum de\u011feri (b) ve b\u00fcy\u00fck olas\u0131l\u0131kla de\u011feri (c) tahmin edebiliyoruz. Genellikle yaln\u0131zca bu \u00fc\u00e7 de\u011feri bilerek \u00fc\u00e7gensel bir da\u011f\u0131l\u0131m kullanarak rastgele de\u011fi\u015fkenlerin davran\u0131\u015f\u0131n\u0131 modelleyebilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin bir restoran, \u00f6n\u00fcm\u00fczdeki haftaki toplam sat\u0131\u015flar\u0131n\u0131n en az 10.000 ABD Dolar\u0131, en fazla 30.000 ABD Dolar\u0131 ve b\u00fcy\u00fck olas\u0131l\u0131kla 25.000 ABD Dolar\u0131 olaca\u011f\u0131n\u0131 tahmin edebilir.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13845 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/triangulaire2.png\" alt=\"\u00dc\u00e7gen da\u011f\u0131l\u0131m \u00f6rne\u011fi\" width=\"400\" height=\"395\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Yaln\u0131zca bu \u00fc\u00e7 say\u0131y\u0131 kullanarak belirli say\u0131da sat\u0131\u015f yapma olas\u0131l\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in \u00fc\u00e7gen da\u011f\u0131l\u0131m kullanabilirler.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00dc\u00e7gen da\u011f\u0131l\u0131m\u0131n \u00f6zellikleri<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00dc\u00e7gen da\u011f\u0131l\u0131m a\u015fa\u011f\u0131daki \u00f6zelliklere sahiptir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>PDF&#8217;si:<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13846 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/triangulaire3.png\" alt=\"\u00dc\u00e7gen da\u011f\u0131t\u0131m i\u00e7in PDF\" width=\"315\" height=\"244\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>CDF:<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15449 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/triangulaire4.png\" alt=\"\" width=\"322\" height=\"179\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ortalama:<\/strong> (a + b + c) \/ 3<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Mod:<\/strong> c<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Varyans:<\/strong> (a <sup>2<\/sup> + b <sup>2<\/sup> + c <sup>2<\/sup> \u2013 ab \u2013 ac \u2013 bc) \/ 18<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00dc\u00e7gen da\u011f\u0131l\u0131m\u0131 kullanma \u00f6rne\u011fi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00d6nceki \u00f6rne\u011fe geri d\u00f6nelim. Diyelim ki bir restoran \u00f6n\u00fcm\u00fczdeki haftaki toplam sat\u0131\u015flar\u0131n\u0131n en az 10.000 ABD Dolar\u0131, en fazla 30.000 ABD Dolar\u0131 ve b\u00fcy\u00fck olas\u0131l\u0131kla 25.000 ABD Dolar\u0131 olaca\u011f\u0131n\u0131 tahmin ediyor.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13845 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/triangulaire2.png\" alt=\"\u00dc\u00e7gen da\u011f\u0131l\u0131m \u00f6rne\u011fi\" width=\"400\" height=\"395\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Restoran\u0131n toplam sat\u0131\u015flar\u0131n\u0131n 20.000 dolardan az olma olas\u0131l\u0131\u011f\u0131 nedir?<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu soruyu cevaplamak i\u00e7in x = toplam sat\u0131\u015flar\u0131 sorabiliriz. X&#8217;in minimum de\u011feri <em>a<\/em> olan 10.000 ABD Dolar\u0131 ile maksimum de\u011feri olan <em>c<\/em> olan 25.000 ABD Dolar\u0131 aras\u0131nda oldu\u011funu biliyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla PDF&#8217;ye g\u00f6re restoran\u0131n toplam sat\u0131\u015flar\u0131n\u0131n 20.000 dolardan az olmas\u0131 olas\u0131l\u0131\u011f\u0131n\u0131 bulmak i\u00e7in a\u015fa\u011f\u0131daki denklemi kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(X &lt; 20.000 ABD Dolar\u0131) = (xa) <sup>2<\/sup> \/ ((ba)(ca))<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X &lt; 20.000 ABD Dolar\u0131) = (20.000-10.000) <sup>2<\/sup> \/ ((30.000-10.000)(25.000-10.000))<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X &lt; 20.000 ABD Dolar\u0131) = 0,333<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Restoran\u0131n toplam sat\u0131\u015flar\u0131n\u0131n 20.000 dolardan az olma olas\u0131l\u0131\u011f\u0131 <strong>0,333&#8217;t\u00fcr<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Restoran\u0131n ortalama beklenen sat\u0131\u015flar\u0131 nedir?<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Beklenen ortalama sat\u0131\u015flar\u0131 daha \u00f6nce verilen ortalama form\u00fcl\u00fcn\u00fc kullanarak hesaplayabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ortalama = (a + b + c) \/ 3<\/span><\/li>\n<li> <span style=\"color: #000000;\">Ortalama = (10.000 $ + 30.000 $ + 25.000 $) \/ 3<\/span><\/li>\n<li> <span style=\"color: #000000;\">Ortalama = 21.667$<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ortalama beklenen sat\u0131\u015flar <strong>21.667<\/strong> adettir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimler di\u011fer yayg\u0131n olarak kullan\u0131lan da\u011f\u0131t\u0131mlara giri\u015f sa\u011flar:<\/span><\/p>\n<p> Normal da\u011f\u0131l\u0131m<br \/> <a href=\"https:\/\/statorials.org\/tr\/binom-dagilimi-1\/\" target=\"_blank\" rel=\"noopener\">Binom da\u011f\u0131l\u0131m\u0131<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/balik-dagitimi\/\" target=\"_blank\" rel=\"noopener\">Bal\u0131k da\u011f\u0131t\u0131m\u0131<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/geometrik-dagilim\/\" target=\"_blank\" rel=\"noopener\">Geometrik da\u011f\u0131l\u0131m<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00dc\u00e7gen da\u011f\u0131l\u0131m, \u00fc\u00e7gen \u015feklinde bir olas\u0131l\u0131k yo\u011funluk fonksiyonuna sahip s\u00fcrekli bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r. \u00dc\u00e7 de\u011ferle tan\u0131mlan\u0131r: Minimum de\u011fer Maksimum de\u011fer b Maksimum de\u011fer c Da\u011f\u0131l\u0131m\u0131n ad\u0131 olas\u0131l\u0131k yo\u011funluk fonksiyonunun \u00fc\u00e7gen \u015feklinde olmas\u0131ndan kaynaklanmaktad\u0131r. Bu da\u011f\u0131l\u0131m\u0131n ger\u00e7ek d\u00fcnyada son derece yararl\u0131 oldu\u011fu ortaya \u00e7\u0131kt\u0131 \u00e7\u00fcnk\u00fc genellikle bir rastgele de\u011fi\u015fkenin alaca\u011f\u0131 minimum de\u011feri (a), maksimum de\u011feri (b) [&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-1394","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>\u00dc\u00e7gen Da\u011f\u0131l\u0131ma Giri\u015f - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, bir tan\u0131m ve \u00e7e\u015fitli \u00f6rnekler de dahil olmak \u00fczere \u00fc\u00e7gen da\u011f\u0131l\u0131ma bir giri\u015f sa\u011flanmaktad\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\/ucgen-dagilim\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u00dc\u00e7gen Da\u011f\u0131l\u0131ma Giri\u015f - 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