{"id":235,"date":"2023-08-03T20:16:45","date_gmt":"2023-08-03T20:16:45","guid":{"rendered":"https:\/\/statorials.org\/tr\/balik-kanunu\/"},"modified":"2023-08-03T20:16:45","modified_gmt":"2023-08-03T20:16:45","slug":"balik-kanunu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/balik-kanunu\/","title":{"rendered":"Bal\u0131k da\u011f\u0131t\u0131m\u0131"},"content":{"rendered":"<p>Bu makalede istatistikte Poisson da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 anlat\u0131lmaktad\u0131r. B\u00f6ylece Poisson da\u011f\u0131l\u0131m\u0131n\u0131n tan\u0131m\u0131n\u0131, Poisson da\u011f\u0131l\u0131m \u00f6rneklerini ve \u00f6zelliklerinin neler oldu\u011funu bulacaks\u0131n\u0131z. Son olarak, \u00e7evrimi\u00e7i bir hesap makinesiyle Poisson da\u011f\u0131l\u0131m\u0131n\u0131n herhangi bir olas\u0131l\u0131\u011f\u0131n\u0131 hesaplayabileceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-de-poisson\"><\/span> Poisson da\u011f\u0131l\u0131m\u0131 nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Poisson da\u011f\u0131l\u0131m\u0131,<\/strong> belirli bir s\u00fcre boyunca belirli say\u0131da olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131 tan\u0131mlayan bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r.<\/p>\n<p> Ba\u015fka bir deyi\u015fle Poisson da\u011f\u0131l\u0131m\u0131, bir olgunun belirli bir zaman aral\u0131\u011f\u0131nda tekrarlanma say\u0131s\u0131n\u0131 tan\u0131mlayan rastgele de\u011fi\u015fkenleri modellemek i\u00e7in kullan\u0131l\u0131r.<\/p>\n<p> Poisson da\u011f\u0131l\u0131m\u0131n\u0131n, Yunanca \u03bb harfiyle temsil edilen karakteristik bir parametresi vard\u0131r ve incelenen olay\u0131n belirli bir aral\u0131kta ka\u00e7 kez meydana gelmesinin beklendi\u011fini g\u00f6sterir.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-be6e10a2b0137ec81fc7d366f237d1b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{Poisson}(\\lambda)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"121\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Genel olarak Poisson da\u011f\u0131l\u0131m\u0131, ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 \u00e7ok d\u00fc\u015f\u00fck olan olaylar\u0131 istatistiksel olarak modellemek i\u00e7in kullan\u0131l\u0131r. A\u015fa\u011f\u0131da bu t\u00fcr olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131n birka\u00e7 \u00f6rne\u011fini g\u00f6rebilirsiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-distribucion-de-poisson\"><\/span> Poisson da\u011f\u0131l\u0131m\u0131 \u00f6rnekleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Poisson da\u011f\u0131l\u0131m\u0131n\u0131n tan\u0131m\u0131n\u0131 g\u00f6rd\u00fckten sonra Poisson da\u011f\u0131l\u0131m\u0131n\u0131n birka\u00e7 \u00f6rne\u011fini burada bulabilirsiniz.<\/p>\n<p> <strong><u style=\"text-decoration-color:#FF8A05\">Poisson da\u011f\u0131l\u0131m\u0131 \u00f6rnekleri:<\/u><\/strong><\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Bir saat i\u00e7inde bir ma\u011fazaya giren ki\u015fi say\u0131s\u0131.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Bir ayda iki \u00fclke aras\u0131ndaki s\u0131n\u0131r\u0131 ge\u00e7en ara\u00e7 say\u0131s\u0131.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Bir web sayfas\u0131na bir g\u00fcnde eri\u015fen kullan\u0131c\u0131 say\u0131s\u0131.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Bir fabrikan\u0131n bir g\u00fcnde \u00fcretti\u011fi kusurlu par\u00e7a say\u0131s\u0131.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Bir telefon santralinin dakika ba\u015f\u0131na ald\u0131\u011f\u0131 \u00e7a\u011fr\u0131 say\u0131s\u0131.<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-distribucion-de-poisson\"><\/span> Bal\u0131k da\u011f\u0131t\u0131m form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bir Poisson da\u011f\u0131l\u0131m\u0131nda, <em>x<\/em> olaylar\u0131n\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131 <em>e<\/em> say\u0131s\u0131 \u00fczeri <em>-\u03bb&#8217;n\u0131n<\/em> kuvveti ile <em>\u03bb<\/em> \u00fczeri <em>x&#8217;in<\/em> kuvveti \u00e7arp\u0131m\u0131na ve <em>x&#8217;in<\/em> fakt\u00f6riyeline b\u00f6l\u00fcnmesine e\u015fittir.<\/p>\n<p> Bu nedenle <strong>Poisson da\u011f\u0131l\u0131m\u0131n\u0131n olas\u0131l\u0131\u011f\u0131n\u0131 hesaplama form\u00fcl\u00fc<\/strong> \u015f\u00f6yledir: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/formule-de-distribution-de-poisson.png\" alt=\"Bal\u0131k da\u011f\u0131t\u0131m form\u00fcl\u00fc\" class=\"wp-image-4692\" width=\"260\" height=\"258\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \ud83d\udc49 <u style=\"text-decoration-color:#FF8A05;\">Poisson da\u011f\u0131l\u0131m\u0131na uyan bir de\u011fi\u015fkenin olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki hesaplay\u0131c\u0131y\u0131 kullanabilirsiniz.<\/u><\/p>\n<p> Poisson da\u011f\u0131l\u0131m\u0131 ayr\u0131k bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131 oldu\u011fundan k\u00fcm\u00fclatif bir olas\u0131l\u0131\u011f\u0131 belirlemek i\u00e7in s\u00f6z konusu de\u011fere kadar olan t\u00fcm de\u011ferlerin olas\u0131l\u0131klar\u0131n\u0131 bulman\u0131z ve ard\u0131ndan hesaplanan t\u00fcm olas\u0131l\u0131klar\u0131 toplaman\u0131z gerekir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicio-resuelto-de-la-distribucion-de-poisson\"><\/span> Poisson da\u011f\u0131l\u0131m\u0131na ili\u015fkin \u00e7\u00f6z\u00fclm\u00fc\u015f al\u0131\u015ft\u0131rma<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li> Bir markan\u0131n satt\u0131\u011f\u0131 \u00fcr\u00fcn say\u0131s\u0131 \u03bb=5 birim\/g\u00fcn Poisson da\u011f\u0131l\u0131m\u0131n\u0131 takip etmektedir. Bir g\u00fcnde yaln\u0131zca 7 adet satm\u0131\u015f olma olas\u0131l\u0131\u011f\u0131n\u0131z nedir? Peki bir g\u00fcnde 3 veya daha az birim satma olas\u0131l\u0131\u011f\u0131n\u0131z nedir?<\/li>\n<\/ul>\n<p> Sorunun gerektirdi\u011fi farkl\u0131 olas\u0131l\u0131klar\u0131 elde etmek i\u00e7in Poisson da\u011f\u0131l\u0131m form\u00fcl\u00fcn\u00fc uygulamam\u0131z gerekir (yukar\u0131ya bak\u0131n). Bu form\u00fcl\u00fc kullanarak bir g\u00fcnde 7 adet satma olas\u0131l\u0131\u011f\u0131n\u0131 hesapl\u0131yoruz:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-654fb65ca47848c6c6bb50a7015005e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P[X=x]&amp;=\\cfrac{e^{-\\lambda}\\cdot \\lambda^x}{x!}\\\\[2ex]P[X=7]&amp;=\\cfrac{e^{-5}\\cdot 5^7}{7!}\\\\[2ex]P[X=7]&amp;=0,1044\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"146\" width=\"159\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0130kinci olarak bizden 3 veya daha az birim satman\u0131n k\u00fcm\u00fclatif olas\u0131l\u0131\u011f\u0131n\u0131 belirlememiz isteniyor. Dolay\u0131s\u0131yla bu olas\u0131l\u0131\u011f\u0131 bulmak i\u00e7in 1 adet, 2 adet ve 3 adet satma olas\u0131l\u0131\u011f\u0131n\u0131 ayr\u0131 ayr\u0131 hesaplay\u0131p sonra bunlar\u0131 toplamam\u0131z gerekir.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ac61fa9bbdd7c9d0717e32624d53e1e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[X\\leq 3]=P[X=1]+P[X=2]+P[X=3]\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"354\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Bu nedenle \u00f6ncelikle her olas\u0131l\u0131\u011f\u0131 ayr\u0131 ayr\u0131 hesapl\u0131yoruz: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-11b086a83de526d2df3111b030107431_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P[X=x]&amp;=\\cfrac{e^{-\\lambda}\\cdot \\lambda^x}{x!}\\\\[2ex]P[X=1]&amp;=\\cfrac{e^{-5}\\cdot 5^1}{1!}\\\\[2ex]P[X=1]&amp;=0,0337\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"146\" width=\"159\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-637d02475e2ccf4d9b85b70395fe6c8d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P[X=x]&amp;=\\cfrac{e^{-\\lambda}\\cdot \\lambda^x}{x!}\\\\[2ex]P[X=2]&amp;=\\cfrac{e^{-5}\\cdot 5^2}{2!}\\\\[2ex]P[X=2]&amp;=0,0842\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"146\" width=\"159\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-8da1f7846155da8a37676c1334a55fdd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P[X=x]&amp;=\\cfrac{e^{-\\lambda}\\cdot \\lambda^x}{x!}\\\\[2ex]P[X=3]&amp;=\\cfrac{e^{-5}\\cdot 5^3}{3!}\\\\[2ex]P[X=3]&amp;=0,1404\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"146\" width=\"159\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Daha sonra, bir g\u00fcnde \u00fc\u00e7 veya daha az birim satma olas\u0131l\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in hesaplanan \u00fc\u00e7 olas\u0131l\u0131\u011f\u0131 ekliyoruz. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-aa4b10012d5b25bdc9b1b4f0d5f3afd3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P[X\\leq 3]&amp;=P[X=1]+P[X=2]+P[X=3]\\\\[2ex]P[X\\leq 3]&amp;=0,0337+0,0842+0,1404\\\\[2ex]P[X\\leq 3]&amp;=0,2583\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"102\" width=\"354\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-de-poisson\"><\/span> Poisson da\u011f\u0131l\u0131m\u0131n\u0131n \u00f6zellikleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bu b\u00f6l\u00fcmde Poisson da\u011f\u0131l\u0131m\u0131n\u0131n \u00f6zelliklerinin neler oldu\u011funu g\u00f6rece\u011fiz.<\/p>\n<ul>\n<li> Poisson da\u011f\u0131l\u0131m\u0131, \u00fczerinde \u00e7al\u0131\u015f\u0131lan olay\u0131n belirli bir s\u00fcre boyunca ka\u00e7 kez meydana gelmesinin beklendi\u011fini g\u00f6steren tek bir karakteristik parametre olan \u03bb ile tan\u0131mlan\u0131r.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-be6e10a2b0137ec81fc7d366f237d1b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{Poisson}(\\lambda)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"121\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Bir Poisson da\u011f\u0131l\u0131m\u0131n\u0131n ortalamas\u0131 karakteristik parametresi \u03bb&#8217;ya e\u015fittir.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-374a0a097c0fb5ffb22c5488a1fa63b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E[X]=\\lambda\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"74\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Benzer \u015fekilde, bir Poisson da\u011f\u0131l\u0131m\u0131n\u0131n varyans\u0131 onun karakteristik parametresi \u03bb&#8217;ya e\u015fde\u011ferdir.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-b8ad517794d25fa36796821de0c62ee3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\lambda\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"96\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u03bb bir tamsay\u0131 ise Poisson da\u011f\u0131l\u0131m\u0131n\u0131n modu bimodald\u0131r ve de\u011ferleri \u03bb ve \u03bb-1&#8217;dir. Bunun yerine, e\u011fer \u03bb bir tam say\u0131 de\u011filse, Poisson da\u011f\u0131l\u0131m\u0131n\u0131n modu \u03bb&#8217;dan k\u00fc\u00e7\u00fck veya ona e\u015fit olan en b\u00fcy\u00fck tam say\u0131d\u0131r.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-31e9784eba83a778964b20989b6a8d6a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\lambda \\in \\mathbb{Z} \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ Mo=\\{\\lambda, \\lambda-1\\} \\\\[2ex]}\\lambda \\ \\cancel{\\in} \\ \\mathbb{Z} \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ Mo=\\lfloor\\lambda\\rfloor\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"306\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> Poisson da\u011f\u0131l\u0131m\u0131n\u0131n medyan\u0131n\u0131 belirlemek i\u00e7in \u00f6zel bir form\u00fcl yoktur ancak aral\u0131\u011f\u0131n\u0131 bulabilirsiniz:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-53f737994f0de26c7c9d4dfa0a30aa97_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda-\\ln 2\\leq Me < \\lambda +\\cfrac{1}{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"176\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> Poisson da\u011f\u0131l\u0131m\u0131n\u0131n olas\u0131l\u0131k fonksiyonu a\u015fa\u011f\u0131daki gibidir:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-58a1b702981e2dbf87b4d35359ea844c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[X=x]=\\cfrac{e^{-\\lambda}\\cdot \\lambda^x}{x!}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"159\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> Ba\u011f\u0131ms\u0131z Poisson rastgele de\u011fi\u015fkenlerinin eklenmesi, karakteristik parametresi orijinal de\u011fi\u015fkenlerin parametrelerinin toplam\u0131 olan ba\u015fka bir Poisson rastgele de\u011fi\u015fkeniyle sonu\u00e7lan\u0131r.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-89373df4f090ba20e24f925b41a6e21b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X_i\\sim \\text{Poisson}(\\lambda_i) \\quad i=1,\\ldots,N\\\\[2ex] \\displaystyle Y=\\sum_{i=1}^N X_i\\sim \\text{Poisson}\\left(\\sum_{i=1}^N \\lambda_i\\right)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"243\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> Toplam g\u00f6zlem say\u0131s\u0131 yeterince b\u00fcy\u00fckse (n\u2265100), \u03bb binom da\u011f\u0131l\u0131m\u0131n\u0131n iki karakteristik parametresinin \u00e7arp\u0131m\u0131ysa, bir binom da\u011f\u0131l\u0131m\u0131 Poisson da\u011f\u0131l\u0131m\u0131 olarak tahmin edilebilir. <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-00c9c55f9887ee682b6483f94c5951cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{Bin}(n,p)\\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ X\\sim \\text{Poisson}(n\\cdot p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"386\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/binom-dagilimi-1\/\">Binom da\u011f\u0131l\u0131m\u0131n\u0131n \u00f6zellikleri<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-distribucion-de-poisson\"><\/span> Bal\u0131k Da\u011f\u0131t\u0131m\u0131 Hesaplay\u0131c\u0131s\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Olas\u0131l\u0131\u011f\u0131 hesaplamak i\u00e7in <em>\u03bb<\/em> parametresinin de\u011ferini ve <em>x&#8217;in<\/em> de\u011ferini a\u015fa\u011f\u0131daki hesaplay\u0131c\u0131ya tak\u0131n. Hesaplamak istedi\u011finiz olas\u0131l\u0131\u011f\u0131 se\u00e7meniz ve ondal\u0131k ay\u0131r\u0131c\u0131 olarak noktay\u0131 kullanarak say\u0131lar\u0131 girmeniz gerekir, \u00f6rne\u011fin 0,1667.<\/p>\n<form action=\"\" method=\"post\">\n<div style=\"margin-bottom:20px; margin-left:5%\"> <span style=\"color:#101010;font-weight: normal;\"><span style=\"color:#1C2C92\"><strong>\u27a4<\/strong><\/span> Poisson da\u011f\u0131l\u0131m\u0131n\u0131n parametresi <span style=\"color:#1C2C92\"><strong>\u2192<\/strong><\/span><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-f682847720652fc976a036d9b8779f83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda = \" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"28\" style=\"vertical-align: 0px;\"><\/p>\n<p><\/span> <input name=\"lambda\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce el par\u00e1metro \u03bb aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/div>\n<div style=\"margin-bottom:20px; margin-left:5%\"> <span style=\"color:#101010;font-weight: normal;\"><span style=\"color:#1C2C92\"><strong>\u27a4<\/strong><\/span> x da\u011f\u0131l\u0131m de\u011feri <span style=\"color:#1C2C92\"><strong>\u2192<\/strong><\/span><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-04ae6e91e4423afa96cc9b717c007c88_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"28\" style=\"vertical-align: 0px;\"><\/p>\n<p><\/span> <input name=\"xigual\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce el par\u00e1metro x aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/div>\n<div style=\"text-align:center\"><input align=\"center\" style=\"border-radius:30px; margin: 20px\" type=\"submit\" name=\"submit\" value=\"Olas\u0131l\u0131\u011f\u0131 hesapla\"><\/div>\n<\/form>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede istatistikte Poisson da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 anlat\u0131lmaktad\u0131r. B\u00f6ylece Poisson da\u011f\u0131l\u0131m\u0131n\u0131n tan\u0131m\u0131n\u0131, Poisson da\u011f\u0131l\u0131m \u00f6rneklerini ve \u00f6zelliklerinin neler oldu\u011funu bulacaks\u0131n\u0131z. Son olarak, \u00e7evrimi\u00e7i bir hesap makinesiyle Poisson da\u011f\u0131l\u0131m\u0131n\u0131n herhangi bir olas\u0131l\u0131\u011f\u0131n\u0131 hesaplayabileceksiniz. Poisson da\u011f\u0131l\u0131m\u0131 nedir? Poisson da\u011f\u0131l\u0131m\u0131, belirli bir s\u00fcre boyunca belirli say\u0131da olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131 tan\u0131mlayan bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":["post-235","post","type-post","status-publish","format-standard","hentry","category-olasilik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Bal\u0131k Da\u011f\u0131t\u0131m\u0131<\/title>\n<meta name=\"description\" content=\"Burada Poisson da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011funu, \u00f6rneklerini, \u00f6zelliklerini, form\u00fcl\u00fcn\u00fc ve Poisson da\u011f\u0131l\u0131m\u0131 hesaplay\u0131c\u0131s\u0131n\u0131 bulacaks\u0131n\u0131z.\" \/>\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-kanunu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Bal\u0131k Da\u011f\u0131t\u0131m\u0131\" \/>\n<meta property=\"og:description\" content=\"Burada Poisson da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011funu, \u00f6rneklerini, \u00f6zelliklerini, form\u00fcl\u00fcn\u00fc ve Poisson da\u011f\u0131l\u0131m\u0131 hesaplay\u0131c\u0131s\u0131n\u0131 bulacaks\u0131n\u0131z.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/balik-kanunu\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-03T20:16:45+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-be6e10a2b0137ec81fc7d366f237d1b2_l3.png\" \/>\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\/balik-kanunu\/\",\"url\":\"https:\/\/statorials.org\/tr\/balik-kanunu\/\",\"name\":\"\u25b7 Bal\u0131k Da\u011f\u0131t\u0131m\u0131\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-08-03T20:16:45+00:00\",\"dateModified\":\"2023-08-03T20:16:45+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Burada Poisson da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011funu, \u00f6rneklerini, \u00f6zelliklerini, form\u00fcl\u00fcn\u00fc ve Poisson da\u011f\u0131l\u0131m\u0131 hesaplay\u0131c\u0131s\u0131n\u0131 bulacaks\u0131n\u0131z.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/balik-kanunu\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/balik-kanunu\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/balik-kanunu\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Bal\u0131k da\u011f\u0131t\u0131m\u0131\"}]},{\"@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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