{"id":760,"date":"2023-07-28T20:46:17","date_gmt":"2023-07-28T20:46:17","guid":{"rendered":"https:\/\/statorials.org\/tr\/balik-dagitimi\/"},"modified":"2023-07-28T20:46:17","modified_gmt":"2023-07-28T20:46:17","slug":"balik-dagitimi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/balik-dagitimi\/","title":{"rendered":"Poisson da\u011f\u0131l\u0131m\u0131na giri\u015f"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Poisson da\u011f\u0131l\u0131m\u0131<\/strong> istatistikteki en pop\u00fcler da\u011f\u0131l\u0131mlardan biridir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Poisson da\u011f\u0131l\u0131m\u0131n\u0131 anlamak i\u00e7in \u00f6ncelikle Poisson deneylerini anlamak faydal\u0131 olacakt\u0131r.<\/span><\/p>\n<h2> <strong>Bal\u0131k Deneyleri<\/strong><\/h2>\n<p> <span style=\"color: #000000;\"><strong>Poisson deneyi<\/strong> a\u015fa\u011f\u0131daki \u00f6zelliklere sahip bir deneydir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Deneyin ba\u015far\u0131lar\u0131n\u0131n say\u0131s\u0131 say\u0131labilir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Belirli bir zaman (veya mekan) aral\u0131\u011f\u0131nda meydana gelen ortalama ba\u015far\u0131 say\u0131s\u0131 bilinmektedir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Her sonu\u00e7 ba\u011f\u0131ms\u0131zd\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Ba\u015far\u0131n\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 aral\u0131\u011f\u0131n boyutuyla orant\u0131l\u0131d\u0131r.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Poisson deneyinin bir \u00f6rne\u011fi, belirli bir hastanede saat ba\u015f\u0131na do\u011fum say\u0131s\u0131d\u0131r. \u00d6rne\u011fin, belirli bir hastanenin saatte ortalama 10 do\u011fum yapt\u0131\u011f\u0131n\u0131 varsayal\u0131m. Bu bir Poisson deneyidir \u00e7\u00fcnk\u00fc a\u015fa\u011f\u0131daki d\u00f6rt \u00f6zelli\u011fe sahiptir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Deneyin ba\u015far\u0131 say\u0131s\u0131 say\u0131labilir \u2013 Do\u011fum say\u0131s\u0131n\u0131 sayabiliriz.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Belirli bir zaman aral\u0131\u011f\u0131nda ger\u00e7ekle\u015fen ortalama do\u011fum say\u0131s\u0131 biliniyor \u2013 Saatte ortalama 10 do\u011fum oldu\u011fu biliniyor.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Her sonu\u00e7 ba\u011f\u0131ms\u0131zd\u0131r \u2013 Belirli bir saatte bir annenin do\u011fum yapma olas\u0131l\u0131\u011f\u0131, ba\u015fka bir annenin do\u011fum yapma olas\u0131l\u0131\u011f\u0131ndan ba\u011f\u0131ms\u0131zd\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Ba\u015far\u0131n\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 aral\u0131\u011f\u0131n b\u00fcy\u00fckl\u00fc\u011f\u00fc ile orant\u0131l\u0131d\u0131r: zaman aral\u0131\u011f\u0131 ne kadar uzunsa, do\u011fumun ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 da o kadar y\u00fcksek olur.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu Poisson deneyine ili\u015fkin olas\u0131l\u0131klarla ilgili a\u015fa\u011f\u0131daki gibi sorular\u0131 yan\u0131tlamak i\u00e7in Poisson da\u011f\u0131l\u0131m\u0131n\u0131 kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Belirli bir saatte 12&#8217;den fazla do\u011fumun meydana gelme olas\u0131l\u0131\u011f\u0131 nedir?<\/span><\/li>\n<li> <span style=\"color: #000000;\">Belirli bir saatte 5&#8217;ten az do\u011fumun meydana gelme olas\u0131l\u0131\u011f\u0131 nedir?<\/span><\/li>\n<li> <span style=\"color: #000000;\">Belirli bir saatte 8 ila 11 do\u011fumun ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 nedir?<\/span><\/li>\n<\/ul>\n<h2> <strong>Bal\u0131k da\u011f\u0131t\u0131m\u0131<\/strong><\/h2>\n<p> <span style=\"color: #000000;\"><strong>Poisson da\u011f\u0131l\u0131m\u0131<\/strong> belirli bir zaman aral\u0131\u011f\u0131nda <em>k<\/em> ba\u015far\u0131 elde etme olas\u0131l\u0131\u011f\u0131n\u0131 a\u00e7\u0131klar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir <em>X<\/em><a href=\"https:\/\/statorials.org\/tr\/rastgele-degiskenler\/\" target=\"_blank\" rel=\"noreferrer noopener\">rastgele de\u011fi\u015fkeni<\/a> bir Poisson da\u011f\u0131l\u0131m\u0131n\u0131 takip ediyorsa, <em>X<\/em> = <em>k<\/em> ba\u015far\u0131s\u0131n\u0131n olas\u0131l\u0131\u011f\u0131 a\u015fa\u011f\u0131daki form\u00fclle bulunabilir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X=k) = \u03bb <sup>k<\/sup> * e <sup>\u2013 \u03bb<\/sup> \/ k!<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03bb:<\/strong> belirli bir aral\u0131kta meydana gelen ortalama ba\u015far\u0131 say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>k:<\/strong> ba\u015far\u0131 say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><b>e:<\/b> yakla\u015f\u0131k 2,71828&#8217;e e\u015fit bir sabit<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir hastanede saatte ortalama 2 do\u011fum ger\u00e7ekle\u015fti\u011fini varsayal\u0131m. 0, 1, 2, 3 do\u011fum vb. ya\u015fanma olas\u0131l\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in yukar\u0131daki form\u00fcl\u00fc kullanabiliriz. belirli bir saatte:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X=0)<\/strong> = 2 <sup>0<\/sup> * e <sup>\u2013 2\/0<\/sup> ! = <strong>0,1353<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X=1)<\/strong> = 2 <sup>1<\/sup> * e <sup>\u2013 2\/1<\/sup> ! = <strong>0,2707<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X=2)<\/strong> = 2 <sup>2<\/sup> * e <sup>\u2013 2\/2<\/sup> ! = <strong>0,2707<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X=3)<\/strong> = 2 <sup>3<\/sup> * e <sup>\u2013 2\/3<\/sup> ! = <strong>0,1805<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Herhangi bir say\u0131da do\u011fumun olas\u0131l\u0131\u011f\u0131n\u0131 sonsuza kadar hesaplayabiliriz. Daha sonra bu olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6rselle\u015ftirmek i\u00e7in basit bir histogram olu\u015fturuyoruz:<\/span> <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8131 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/poissondist1.png\" alt=\"Bal\u0131k da\u011f\u0131t\u0131m tablosu\" width=\"472\" height=\"347\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2> <strong>K\u00fcm\u00fclatif Poisson olas\u0131l\u0131klar\u0131n\u0131n hesaplanmas\u0131<\/strong><\/h2>\n<p> <span style=\"color: #000000;\">Yukar\u0131daki form\u00fcl\u00fc kullanarak tek bir Poisson olas\u0131l\u0131\u011f\u0131n\u0131 (\u00f6rne\u011fin bir hastanenin belirli bir saatte 3 do\u011fum ger\u00e7ekle\u015ftirme olas\u0131l\u0131\u011f\u0131) hesaplamak kolayd\u0131r, ancak k\u00fcm\u00fclatif Poisson olas\u0131l\u0131klar\u0131n\u0131 hesaplamak i\u00e7in bireysel olas\u0131l\u0131klar\u0131 toplamam\u0131z gerekir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, hastanenin belirli bir saatte 1 veya daha az do\u011fum yapma olas\u0131l\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m. Bu olas\u0131l\u0131\u011f\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullan\u0131r\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X\u22641)<\/strong> = P(X=0) + P(X=1) = 0,1353 + 0,2707 = <strong>0,406<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Buna <strong>k\u00fcm\u00fclatif olas\u0131l\u0131k<\/strong> denir \u00e7\u00fcnk\u00fc birden fazla olas\u0131l\u0131\u011f\u0131n eklenmesini i\u00e7erir. Belirli bir saatte <em>k<\/em> veya daha az do\u011fum ya\u015fanmas\u0131n\u0131n k\u00fcm\u00fclatif olas\u0131l\u0131\u011f\u0131n\u0131 benzer bir form\u00fcl kullanarak hesaplayabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X\u22640)<\/strong> = P(X=0) = <strong>0,1353<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X\u22641)<\/strong> = P(X=0) + P(X=1) = 0,1353 + 0,2707 = <strong>0,406<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X\u22642)<\/strong> = P(X=0) + P(X=1) + P(X=2) =0,1353 + 0,2707 + 0,2707 = <strong>0,6767<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu k\u00fcm\u00fclatif olas\u0131l\u0131klar\u0131 herhangi bir do\u011fum say\u0131s\u0131 i\u00e7in sonsuza kadar hesaplayabiliriz. Daha sonra bu k\u00fcm\u00fclatif olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6rselle\u015ftirmek i\u00e7in bir histogram olu\u015fturabiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8132 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/poissondist2.png\" alt=\"Poisson K\u00fcm\u00fclatif Olas\u0131l\u0131k Da\u011f\u0131l\u0131m\u0131 \u00d6rne\u011fi\" width=\"474\" height=\"289\" srcset=\"\" sizes=\"auto, \"><\/p>\n<div class=\"wp-block-image\"><\/div>\n<h2> <strong>Poisson da\u011f\u0131l\u0131m\u0131n\u0131n \u00f6zellikleri<\/strong><\/h2>\n<p> <span style=\"color: #000000;\">Poisson da\u011f\u0131l\u0131m\u0131 a\u015fa\u011f\u0131daki \u00f6zelliklere sahiptir:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Da\u011f\u0131l\u0131m\u0131n ortalamas\u0131 <strong>\u03bb&#8217;d\u0131r<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Da\u011f\u0131l\u0131m\u0131n varyans\u0131 da <strong>\u03bb&#8217;d\u0131r<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Da\u011f\u0131l\u0131m\u0131n standart sapmas\u0131 <strong>\u221a <span style=\"text-decoration: overline;\">\u03bb&#8217;d\u0131r<\/span><\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin bir hastanenin saatte ortalama 2 do\u011fum yapt\u0131\u011f\u0131n\u0131 varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Belirli bir saatte beklenen ortalama do\u011fum say\u0131s\u0131 \u03bb = 2 do\u011fumdur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bekledi\u011fimiz do\u011fum say\u0131s\u0131ndaki varyans \u03bb = 2 do\u011fumdur.<\/span><\/p>\n<h2> <strong>Bal\u0131k da\u011f\u0131t\u0131m uygulama problemleri<\/strong><\/h2>\n<p> <span style=\"color: #000000;\">Poisson da\u011f\u0131l\u0131m\u0131na ili\u015fkin bilginizi s\u0131namak i\u00e7in a\u015fa\u011f\u0131daki al\u0131\u015ft\u0131rma problemlerini kullan\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em><strong>Not:<\/strong> Bu sorular\u0131n cevaplar\u0131n\u0131 hesaplamak i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/balik-dagitim-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">Poisson da\u011f\u0131l\u0131m\u0131 hesaplay\u0131c\u0131s\u0131n\u0131<\/a> kullanaca\u011f\u0131z.<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Sorun 1<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Soru:<\/strong> Bir web sitesinin saatte 10 sat\u0131\u015f yapt\u0131\u011f\u0131n\u0131 biliyoruz. Belirli bir saatte sitenin tam olarak 8 sat\u0131\u015f yapma olas\u0131l\u0131\u011f\u0131 nedir?<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\"><strong>Cevap:<\/strong> \u03bb = 10 ve x = 8 ile Poisson da\u011f\u0131l\u0131m\u0131 hesaplay\u0131c\u0131s\u0131n\u0131 kullanarak P(X=8) = <strong>0,1126&#8217;y\u0131<\/strong> buluruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Sorun 2<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Soru:<\/strong> Bir emlak\u00e7\u0131n\u0131n ayda ortalama 5 sat\u0131\u015f yapt\u0131\u011f\u0131n\u0131 biliyoruz. Belirli bir ayda 7&#8217;den fazla sat\u0131\u015f yapma olas\u0131l\u0131\u011f\u0131 nedir?<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\"><strong>Cevap:<\/strong> \u03bb = 5 ve x = 7 ile Poisson da\u011f\u0131l\u0131m\u0131 hesaplay\u0131c\u0131s\u0131n\u0131 kullanarak P(X&gt;7) = <strong>0,13337&#8217;yi<\/strong> buluruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Sorun 3<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Soru:<\/strong> Belirli bir hastanede saatte 4 do\u011fum ger\u00e7ekle\u015fti\u011fini biliyoruz. Belirli bir saatte 4 veya daha az do\u011fum olma olas\u0131l\u0131\u011f\u0131 nedir?<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\"><strong>Cevap:<\/strong> \u03bb = 4 ve x = 4 ile Poisson da\u011f\u0131l\u0131m\u0131 hesaplay\u0131c\u0131s\u0131n\u0131 kullanarak P(X\u22644) = <strong>0,62884&#8217;\u00fc<\/strong> buluruz.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki makaleler Poisson da\u011f\u0131l\u0131m\u0131n\u0131n farkl\u0131 istatistiksel yaz\u0131l\u0131mlarda nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 a\u00e7\u0131klamaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/ppois-ppois-qpois-rpois-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de Poisson da\u011f\u0131l\u0131m\u0131 nas\u0131l kullan\u0131l\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/balik-dagitim-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de Poisson da\u011f\u0131l\u0131m\u0131 nas\u0131l kullan\u0131l\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/balik-olasiliklari-ti-84-hesaplayici\/\" target=\"_blank\" rel=\"noopener\">TI-84 Hesap Makinesinde Poisson Olas\u0131l\u0131klar\u0131 Nas\u0131l Hesaplan\u0131r?<\/a><br \/><a href=\"https:\/\/statorials.org\/tr\/balik-dagitimi-gercek-ornekleri\/\" target=\"_blank\" rel=\"noopener\">Poisson da\u011f\u0131l\u0131m\u0131n\u0131n ger\u00e7ek d\u00fcnyadan \u00f6rnekleri<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/balik-dagitim-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">Bal\u0131k Da\u011f\u0131t\u0131m\u0131 Hesaplay\u0131c\u0131s\u0131<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Poisson da\u011f\u0131l\u0131m\u0131 istatistikteki en pop\u00fcler da\u011f\u0131l\u0131mlardan biridir. Poisson da\u011f\u0131l\u0131m\u0131n\u0131 anlamak i\u00e7in \u00f6ncelikle Poisson deneylerini anlamak faydal\u0131 olacakt\u0131r. Bal\u0131k Deneyleri Poisson deneyi a\u015fa\u011f\u0131daki \u00f6zelliklere sahip bir deneydir: Deneyin ba\u015far\u0131lar\u0131n\u0131n say\u0131s\u0131 say\u0131labilir. Belirli bir zaman (veya mekan) aral\u0131\u011f\u0131nda meydana gelen ortalama ba\u015far\u0131 say\u0131s\u0131 bilinmektedir. Her sonu\u00e7 ba\u011f\u0131ms\u0131zd\u0131r. Ba\u015far\u0131n\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 aral\u0131\u011f\u0131n boyutuyla orant\u0131l\u0131d\u0131r. Poisson deneyinin bir \u00f6rne\u011fi, [&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-760","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\u0131na giri\u015f - Statoryaller<\/title>\n<meta name=\"description\" content=\"Resmi bir tan\u0131m ve birka\u00e7 ad\u0131m ad\u0131m \u00f6rnek i\u00e7eren Poisson da\u011f\u0131l\u0131m\u0131na basit bir giri\u015f.\" \/>\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\/\" \/>\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\u0131na giri\u015f - Statoryaller\" \/>\n<meta property=\"og:description\" content=\"Resmi bir tan\u0131m ve birka\u00e7 ad\u0131m ad\u0131m \u00f6rnek i\u00e7eren Poisson da\u011f\u0131l\u0131m\u0131na basit bir giri\u015f.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/balik-dagitimi\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T20:46:17+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/poissondist1.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-dagitimi\/\",\"url\":\"https:\/\/statorials.org\/tr\/balik-dagitimi\/\",\"name\":\"Poisson da\u011f\u0131l\u0131m\u0131na giri\u015f - Statoryaller\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-28T20:46:17+00:00\",\"dateModified\":\"2023-07-28T20:46:17+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Resmi bir tan\u0131m ve birka\u00e7 ad\u0131m ad\u0131m \u00f6rnek i\u00e7eren Poisson da\u011f\u0131l\u0131m\u0131na basit bir giri\u015f.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/balik-dagitimi\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/balik-dagitimi\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/balik-dagitimi\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Poisson da\u011f\u0131l\u0131m\u0131na giri\u015f\"}]},{\"@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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