{"id":1498,"date":"2023-07-26T03:48:58","date_gmt":"2023-07-26T03:48:58","guid":{"rendered":"https:\/\/statorials.org\/tr\/balik-dagitimi-gercek-ornekleri\/"},"modified":"2023-07-26T03:48:58","modified_gmt":"2023-07-26T03:48:58","slug":"balik-dagitimi-gercek-ornekleri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/balik-dagitimi-gercek-ornekleri\/","title":{"rendered":"Poisson da\u011f\u0131l\u0131m\u0131n\u0131n 5 somut \u00f6rne\u011fi"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/balik-dagitimi\/\" target=\"_blank\" rel=\"noopener\">Poisson da\u011f\u0131l\u0131m\u0131,<\/a><\/span> <span style=\"color: #000000;\">olaylar\u0131n ba\u011f\u0131ms\u0131z olarak ve sabit bir ortalama h\u0131zla meydana geldi\u011fi bilindi\u011finde, sabit bir zaman aral\u0131\u011f\u0131nda meydana gelen belirli say\u0131da olay\u0131n olas\u0131l\u0131\u011f\u0131n\u0131 modellemek i\u00e7in kullan\u0131lan bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu yaz\u0131m\u0131zda Poisson da\u011f\u0131l\u0131m\u0131n\u0131n ger\u00e7ek d\u00fcnyada nas\u0131l kullan\u0131ld\u0131\u011f\u0131na dair 5 \u00f6rne\u011fi payla\u015f\u0131yoruz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Bir \u00e7a\u011fr\u0131 merkezinde saat ba\u015f\u0131na yap\u0131lan aramalar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00c7a\u011fr\u0131 merkezleri, ka\u00e7 \u00e7a\u011fr\u0131 merkezi temsilcisinin kadroda kalmas\u0131 gerekti\u011fini bilmek amac\u0131yla saat ba\u015f\u0131na alacaklar\u0131 beklenen \u00e7a\u011fr\u0131 say\u0131s\u0131n\u0131 modellemek i\u00e7in Poisson da\u011f\u0131l\u0131m\u0131n\u0131 kullan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir \u00e7a\u011fr\u0131 merkezinin saatte 10 \u00e7a\u011fr\u0131 ald\u0131\u011f\u0131n\u0131 varsayal\u0131m. Bir \u00e7a\u011fr\u0131 merkezinin belirli bir saatte 0, 1, 2, 3\u2026 \u00e7a\u011fr\u0131 alma olas\u0131l\u0131\u011f\u0131n\u0131 bulmak i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/balik-dagitim-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">Poisson da\u011f\u0131l\u0131m hesaplay\u0131c\u0131s\u0131n\u0131<\/a> kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(X = 0 \u00e7a\u011fr\u0131) = <strong><span id=\"exactP\">0,00005<\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X = 1 \u00e7a\u011fr\u0131) = <strong><span id=\"exactP\">0,00045<\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X = 2 \u00e7a\u011fr\u0131) = <strong><span id=\"exactP\">0,00227<\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X = 3 \u00e7a\u011fr\u0131) = <strong><span id=\"exactP\">0,00757<\/span><\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ve benzeri.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, \u00e7a\u011fr\u0131 merkezi y\u00f6neticilerine saat ba\u015f\u0131na ka\u00e7 \u00e7a\u011fr\u0131 alma olas\u0131l\u0131klar\u0131 hakk\u0131nda fikir verir ve \u00e7al\u0131\u015fanlar\u0131n programlar\u0131n\u0131 beklenen \u00e7a\u011fr\u0131 say\u0131s\u0131na g\u00f6re y\u00f6netmelerine olanak tan\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Bir restorana gelenlerin say\u0131s\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Restoranlar, bir g\u00fcnde restorana gelecek beklenen m\u00fc\u015fteri say\u0131s\u0131n\u0131 modellemek i\u00e7in Poisson da\u011f\u0131l\u0131m\u0131n\u0131 kullan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir restoran\u0131n g\u00fcnde ortalama 100 m\u00fc\u015fteri ald\u0131\u011f\u0131n\u0131 varsayal\u0131m. Restoran\u0131n belirli bir say\u0131dan fazla m\u00fc\u015fteriye sahip olma olas\u0131l\u0131\u011f\u0131n\u0131 bulmak i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/balik-dagitim-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">Poisson da\u011f\u0131l\u0131m hesaplay\u0131c\u0131s\u0131n\u0131<\/a> kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(X &gt; 110 m\u00fc\u015fteri) = <strong><span id=\"exactP\">0,14714<\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X &gt; 120 m\u00fc\u015fteri) = <strong><span id=\"exactP\">0,02267<\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X &gt; 130 m\u00fc\u015fteri) = <strong><span id=\"exactP\">0,00171<\/span><\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ve benzeri.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, restoran y\u00f6neticilerine belirli bir g\u00fcnde belirli say\u0131da m\u00fc\u015fteri alma olas\u0131l\u0131klar\u0131n\u0131n ne kadar y\u00fcksek oldu\u011funa dair bir fikir verir.<\/span><\/p>\n<h3> <strong>\u00d6rnek 3: Saat ba\u015f\u0131na web sitesi ziyaret\u00e7isi say\u0131s\u0131<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Web sitesi bar\u0131nd\u0131rma \u015firketleri, web sitelerinin saat ba\u015f\u0131na alaca\u011f\u0131 beklenen ziyaret\u00e7i say\u0131s\u0131n\u0131 modellemek i\u00e7in Poisson da\u011f\u0131l\u0131m\u0131n\u0131 kullan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir web sitesinin saatte ortalama 20 ziyaret\u00e7i ald\u0131\u011f\u0131n\u0131 varsayal\u0131m. Web sitesinin belirli bir saatte belirli say\u0131da ziyaret\u00e7i alma olas\u0131l\u0131\u011f\u0131n\u0131 bulmak i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/balik-dagitim-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">Poisson da\u011f\u0131l\u0131m hesaplay\u0131c\u0131s\u0131n\u0131<\/a> kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(X &gt; 25 ziyaret\u00e7i) = <strong><span id=\"exactP\">0,11218<\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X &gt; 30 ziyaret\u00e7i) = <strong><span id=\"exactP\">0,01347<\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X &gt; 35 ziyaret\u00e7i) = <strong><span id=\"exactP\">0,00080<\/span><\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ve benzeri.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, bar\u0131nd\u0131rma \u015firketlerine, her saat belirli say\u0131da ziyaret\u00e7iyi idare edebilmelerini sa\u011flamak i\u00e7in farkl\u0131 web sitelerine ne kadar bant geni\u015fli\u011fi sa\u011flamalar\u0131 gerekti\u011fi konusunda bir fikir verir.<\/span><\/p>\n<h3> <strong>\u00d6rnek 4: Ayl\u0131k a\u00e7\u0131lan iflas say\u0131s\u0131<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Bankalar, ayl\u0131k beklenen m\u00fc\u015fteri iflaslar\u0131n\u0131n say\u0131s\u0131n\u0131 modellemek i\u00e7in Poisson da\u011f\u0131l\u0131m\u0131n\u0131 kullan\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir bankan\u0131n m\u00fc\u015fterileri taraf\u0131ndan her ay ortalama 3 iflas ba\u015fvurusunda bulundu\u011funu varsayal\u0131m. Bankan\u0131n belirli bir ayda belirli say\u0131da iflas ba\u015fvurusu alma olas\u0131l\u0131\u011f\u0131n\u0131 bulmak i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/balik-dagitim-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">Poisson da\u011f\u0131l\u0131m hesaplay\u0131c\u0131s\u0131n\u0131<\/a> kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(X = 0 iflas) = <strong><span id=\"exactP\">0,04979<\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X = 1 iflas) = <strong><span id=\"exactP\">0,14936<\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X = 2 iflas) = <strong><span id=\"exactP\">0,22404<\/span><\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ve benzeri.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, bankalara belirli bir ayda belirli say\u0131da iflas\u0131n meydana gelmesi durumunda ne kadar rezerv tutmalar\u0131 gerekti\u011fi konusunda fikir veriyor.<\/span><\/p>\n<h3> <strong>\u00d6rnek 5: Haftal\u0131k a\u011f kesintisi say\u0131s\u0131<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Teknoloji \u015firketleri, haftal\u0131k beklenen a\u011f kesintilerinin say\u0131s\u0131n\u0131 modellemek i\u00e7in Poisson da\u011f\u0131l\u0131m\u0131n\u0131 kullan\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir \u015firketin haftada ortalama bir a\u011f kesintisi ya\u015fad\u0131\u011f\u0131n\u0131 varsayal\u0131m. \u015eirketin belirli bir haftada belirli say\u0131da a\u011f kesintisi ya\u015fama olas\u0131l\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/balik-dagitim-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">Poisson da\u011f\u0131l\u0131m hesaplay\u0131c\u0131s\u0131n\u0131<\/a> kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(X = 0 ba\u015far\u0131s\u0131zl\u0131k) = <strong><span id=\"exactP\">0,36788<\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X = 1 ba\u015far\u0131s\u0131zl\u0131k) = <strong><span id=\"exactP\">0,36788<\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X = 2 ba\u015far\u0131s\u0131zl\u0131k) = <strong><span id=\"exactP\">0,18394<\/span><\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ve benzeri.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, \u015firkete her hafta ka\u00e7 kesintinin meydana gelebilece\u011fine dair bir fikir verir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/normal-dagilim-ornegi\/\" target=\"_blank\" rel=\"noopener\">Normal da\u011f\u0131l\u0131m\u0131n 6 somut \u00f6rne\u011fi<\/a><br \/><a href=\"https:\/\/statorials.org\/tr\/binom-dagilimi-gercek-ornekleri\/\" target=\"_blank\" rel=\"noopener\">Binom da\u011f\u0131l\u0131m\u0131n\u0131n 5 somut \u00f6rne\u011fi<\/a><br \/><a href=\"https:\/\/statorials.org\/tr\/duzgun-dagilim-gercek-ornekleri\/\" target=\"_blank\" rel=\"noopener\">D\u00fczg\u00fcn da\u011f\u0131l\u0131ma 5 somut \u00f6rnek<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-gercek-ornekleri\/\" target=\"_blank\" rel=\"noopener\">Do\u011frusal Regresyonun Ger\u00e7ek Hayatta Kullan\u0131m\u0131na \u0130li\u015fkin 4 \u00d6rnek<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/anova-somut-ornekler\/\" target=\"_blank\" rel=\"noopener\">ANOVA&#8217;n\u0131n ger\u00e7ek hayatta kullan\u0131lmas\u0131na ili\u015fkin 4 \u00f6rnek<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Poisson da\u011f\u0131l\u0131m\u0131, olaylar\u0131n ba\u011f\u0131ms\u0131z olarak ve sabit bir ortalama h\u0131zla meydana geldi\u011fi bilindi\u011finde, sabit bir zaman aral\u0131\u011f\u0131nda meydana gelen belirli say\u0131da olay\u0131n olas\u0131l\u0131\u011f\u0131n\u0131 modellemek i\u00e7in kullan\u0131lan bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r. Bu yaz\u0131m\u0131zda Poisson da\u011f\u0131l\u0131m\u0131n\u0131n ger\u00e7ek d\u00fcnyada nas\u0131l kullan\u0131ld\u0131\u011f\u0131na dair 5 \u00f6rne\u011fi payla\u015f\u0131yoruz. \u00d6rnek 1: Bir \u00e7a\u011fr\u0131 merkezinde saat ba\u015f\u0131na yap\u0131lan aramalar \u00c7a\u011fr\u0131 merkezleri, ka\u00e7 \u00e7a\u011fr\u0131 merkezi [&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-1498","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\u0131n\u0131n 5 somut \u00f6rne\u011fi - Statoryaller<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde pratikte Poisson da\u011f\u0131l\u0131m\u0131n\u0131n ger\u00e7ek d\u00fcnyadan birka\u00e7 \u00f6rne\u011fi sunulmaktad\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\/balik-dagitimi-gercek-ornekleri\/\" \/>\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\u0131n\u0131n 5 somut \u00f6rne\u011fi - 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