{"id":52,"date":"2018-12-29T09:12:19","date_gmt":"2018-12-29T09:12:19","guid":{"rendered":"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=52"},"modified":"2022-01-07T09:08:26","modified_gmt":"2022-01-07T09:08:26","slug":"markov-chains-v","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/chapter\/markov-chains-v\/","title":{"rendered":"Markov Chains &#8211; V"},"content":{"raw":"<div><span style=\"float: right;\"><a href=\"https:\/\/youtu.be\/s66q2u-IDv4\" target=\"_blank\" rel=\"noopener noreferrer\"><img src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a>\r\n<\/span><\/div>\r\n&nbsp;\r\n\r\n<img class=\"aligncenter size-full wp-image-53\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-1.jpg\" alt=\"\" width=\"1392\" height=\"1804\" \/> <img class=\"aligncenter size-full wp-image-54\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-2.jpg\" alt=\"\" width=\"1401\" height=\"1821\" \/> <img class=\"aligncenter size-full wp-image-55\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-3.jpg\" alt=\"\" width=\"1531\" height=\"1941\" \/> <img class=\"aligncenter size-full wp-image-56\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-4.jpg\" alt=\"\" width=\"1369\" height=\"1849\" \/> <img class=\"aligncenter size-full wp-image-57\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-5.jpg\" alt=\"\" width=\"1381\" height=\"1845\" \/> <img class=\"aligncenter size-full wp-image-58\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-6.jpg\" alt=\"\" width=\"1357\" height=\"1797\" \/> <img class=\"aligncenter size-full wp-image-59\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-7.jpg\" alt=\"\" width=\"1373\" height=\"869\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Markov Chains - V <\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/s66q2u-IDv4\" target=\"_blank\" rel=\"noopener noreferrer\"><img class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<strong><em>References :<\/em><\/strong>\r\n\r\n<strong><em>\u00a0<\/em><\/strong>\r\n<ul>\r\n \t<li>S.Karlin&amp;H.M.Taylor : A First Course in Stochastic Process, Vol-1<\/li>\r\n \t<li>J Medhi : Stochastic Process<\/li>\r\n \t<li>D.R.Cox: : Renewal Theory<\/li>\r\n \t<li>S.Ross : Stochastic Process<\/li>\r\n \t<li>A.K.Basu : Stochastic Process<\/li>\r\n \t<li>P.G.Hoel, S.C.Port&amp;C.J.Stone : An Introduction to Stochastic Process<\/li>\r\n \t<li>R.N.Bhattacharyya&amp;E.Waymire : Stochastic Processes and Applications<\/li>\r\n<\/ul>","rendered":"<div><span style=\"float: right;\"><a href=\"https:\/\/youtu.be\/s66q2u-IDv4\" target=\"_blank\" rel=\"noopener noreferrer\"><img decoding=\"async\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a><br \/>\n<\/span><\/div>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-53\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-1.jpg\" alt=\"\" width=\"1392\" height=\"1804\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-1.jpg 1392w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-1-231x300.jpg 231w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-1-768x995.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-1-790x1024.jpg 790w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-1-65x84.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-1-225x292.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-1-350x454.jpg 350w\" sizes=\"auto, (max-width: 1392px) 100vw, 1392px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-54\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-2.jpg\" alt=\"\" width=\"1401\" height=\"1821\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-2.jpg 1401w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-2-231x300.jpg 231w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-2-768x998.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-2-788x1024.jpg 788w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-2-65x84.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-2-225x292.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-2-350x455.jpg 350w\" sizes=\"auto, (max-width: 1401px) 100vw, 1401px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-55\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-3.jpg\" alt=\"\" width=\"1531\" height=\"1941\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-3.jpg 1531w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-3-237x300.jpg 237w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-3-768x974.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-3-808x1024.jpg 808w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-3-65x82.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-3-225x285.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-3-350x444.jpg 350w\" sizes=\"auto, (max-width: 1531px) 100vw, 1531px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-56\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-4.jpg\" alt=\"\" width=\"1369\" height=\"1849\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-4.jpg 1369w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-4-222x300.jpg 222w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-4-768x1037.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-4-758x1024.jpg 758w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-4-65x88.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-4-225x304.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-4-350x473.jpg 350w\" sizes=\"auto, (max-width: 1369px) 100vw, 1369px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-57\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-5.jpg\" alt=\"\" width=\"1381\" height=\"1845\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-5.jpg 1381w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-5-225x301.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-5-768x1026.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-5-766x1024.jpg 766w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-5-65x87.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-5-350x468.jpg 350w\" sizes=\"auto, (max-width: 1381px) 100vw, 1381px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-58\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-6.jpg\" alt=\"\" width=\"1357\" height=\"1797\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-6.jpg 1357w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-6-227x300.jpg 227w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-6-768x1017.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-6-773x1024.jpg 773w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-6-65x86.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-6-225x298.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-6-350x463.jpg 350w\" sizes=\"auto, (max-width: 1357px) 100vw, 1357px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-59\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-7.jpg\" alt=\"\" width=\"1373\" height=\"869\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-7.jpg 1373w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-7-300x190.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-7-768x486.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-7-1024x648.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-7-65x41.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-7-225x142.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525336850module-5-MC5_runningtext-7-350x222.jpg 350w\" sizes=\"auto, (max-width: 1373px) 100vw, 1373px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Markov Chains &#8211; V <\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/s66q2u-IDv4\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong><em>References :<\/em><\/strong><\/p>\n<p><strong><em>\u00a0<\/em><\/strong><\/p>\n<ul>\n<li>S.Karlin&amp;H.M.Taylor : A First Course in Stochastic Process, Vol-1<\/li>\n<li>J Medhi : Stochastic Process<\/li>\n<li>D.R.Cox: : Renewal Theory<\/li>\n<li>S.Ross : Stochastic Process<\/li>\n<li>A.K.Basu : Stochastic Process<\/li>\n<li>P.G.Hoel, S.C.Port&amp;C.J.Stone : An Introduction to Stochastic Process<\/li>\n<li>R.N.Bhattacharyya&amp;E.Waymire : Stochastic Processes and Applications<\/li>\n<\/ul>\n","protected":false},"author":3,"menu_order":5,"template":"","meta":{"_acf_changed":false,"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["arindam-sengupta"],"pb_section_license":""},"chapter-type":[],"contributor":[58],"license":[],"class_list":["post-52","chapter","type-chapter","status-publish","hentry","contributor-arindam-sengupta"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/chapters\/52","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/wp\/v2\/users\/3"}],"version-history":[{"count":2,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/chapters\/52\/revisions"}],"predecessor-version":[{"id":430,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/chapters\/52\/revisions\/430"}],"part":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/chapters\/52\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/wp\/v2\/media?parent=52"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/chapter-type?post=52"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/wp\/v2\/contributor?post=52"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/wp\/v2\/license?post=52"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}