{"id":213142,"date":"2025-05-02T22:09:11","date_gmt":"2025-05-03T03:09:11","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2025\/05\/markov-chain"},"modified":"2025-05-02T22:09:11","modified_gmt":"2025-05-03T03:09:11","slug":"markov-chain","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2025\/05\/markov-chain","title":{"rendered":"Markov chain"},"content":{"rendered":"<p><\/p>\n<p><iframe style=\"display: block; margin: 0 auto; width: 100%; aspect-ratio: 4\/3; object-fit: contain;\" src=\"https:\/\/www.youtube.com\/embed\/o-jdJxXL_W4?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope;\n   picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<p>In probability theory and statistics, a <i>Markov<\/i> chain or <i>Markov<\/i> process is a stochastic process describing a sequence of possible events in which the probability of each event depends only on the state attained in the previous event. Informally, this may be thought of as, \u201cWhat happens next depends only on the state of affairs now.\u201d A countably infinite sequence, in which the chain moves state at discrete time steps, gives a discrete-time <i>Markov<\/i> chain (DTMC). A continuous-time process is called a continuous-time <i>Markov<\/i> chain (CTMC). <i>Markov<\/i> processes are named in honor of the Russian mathematician Andrey Markov.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In probability theory and statistics, a Markov chain or Markov process is a stochastic process describing a sequence of possible events in which the probability of each event depends only on the state attained in the previous event. Informally, this may be thought of as, \u201cWhat happens next depends only on the state of affairs [\u2026]<\/p>\n","protected":false},"author":709,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20],"tags":[],"class_list":["post-213142","post","type-post","status-publish","format-standard","hentry","category-futurism"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/213142","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/709"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=213142"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/213142\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=213142"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=213142"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=213142"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}