{"id":8798,"date":"2019-05-22T16:11:37","date_gmt":"2019-05-22T16:11:37","guid":{"rendered":"http:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/posterior_distribution\/"},"modified":"2019-05-22T16:11:37","modified_gmt":"2019-05-22T16:11:37","slug":"posterior_distribution","status":"publish","type":"post","link":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/posterior_distribution\/","title":{"rendered":"Posterior distribution"},"content":{"rendered":"<p>Probabilitydistribution of a variable in a probabilistic model conditioned on observeddata. &nbsp;For example, if&nbsp;\u03bc&nbsp;isa variable in a probabilistic model, and x isdata that is a function of, then the probable values of given observed values of &nbsp;isthe posterior distribution written as P(\u03bc|x).<\/p>\n<p>See <a href=\"bayesian_learning\">Bayesian learning<\/a>, <a href=\"likelihood_function\">Likelihood function<\/a>, <a href=\"poisson_distribution\">Poisson distribution<\/a>, <a href=\"prior_distribution\">Prior distribution<\/a><\/p>\n<p><\/body><\/html><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Probabilitydistribution of a variable in a probabilistic model conditioned on observeddata. &nbsp;For example, if&nbsp;\u03bc&nbsp;isa variable in a probabilistic model, and x isdata that is a function of, then the probable values of given observed values of &nbsp;isthe posterior distribution written as P(\u03bc|x). See Bayesian learning, Likelihood function, Poisson distribution, Prior distribution<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[2],"class_list":["post-8798","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-glossary","entry"],"_links":{"self":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/posts\/8798","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/comments?post=8798"}],"version-history":[{"count":0,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/posts\/8798\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/media?parent=8798"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/categories?post=8798"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/tags?post=8798"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}