[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2en\/wiki14\/poisson-approximation-wikipedia\/#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2en\/wiki14\/poisson-approximation-wikipedia\/","headline":"Poisson-Approximation \u2013 Wikipedia","name":"Poisson-Approximation \u2013 Wikipedia","description":"before-content-x4 The Poisson-Approximation is a way in the probability calculation to approach the binomial distribution and the generalized binomial distribution","datePublished":"2017-09-28","dateModified":"2017-09-28","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2en\/wiki14\/author\/lordneo\/#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2en\/wiki14\/author\/lordneo\/","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/f\/fb\/Binomial_versus_poisson.svg\/325px-Binomial_versus_poisson.svg.png","url":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/f\/fb\/Binomial_versus_poisson.svg\/325px-Binomial_versus_poisson.svg.png","height":"325","width":"325"},"url":"https:\/\/wiki.edu.vn\/all2en\/wiki14\/poisson-approximation-wikipedia\/","wordCount":10240,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4 The Poisson-Approximation is a way in the probability calculation to approach the binomial distribution and the generalized binomial distribution for large samples and small probabilities through the Poisson distribution. The border crossing after infinitely infinitely gives the convergence in the distribution of the two binomial distributions against the Poisson distribution.        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4Is ( S n ) {displaystyle (S_{n})} A sequence of binomial distributed random variables with parameters n \u2208 N {Displaystyle nin mathbb {n}} and        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4p n {displaystyle p_{n}} , so for the expectation values "},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2en\/wiki14\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2en\/wiki14\/poisson-approximation-wikipedia\/#breadcrumbitem","name":"Poisson-Approximation \u2013 Wikipedia"}}]}]