{"id":68,"date":"2018-12-29T09:15:19","date_gmt":"2018-12-29T09:15:19","guid":{"rendered":"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=68"},"modified":"2018-12-29T09:15:39","modified_gmt":"2018-12-29T09:15:39","slug":"markov-chains-vii","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/chapter\/markov-chains-vii\/","title":{"rendered":"Markov Chains &#8211; VII"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/18D7yk-r4SQ\" target=\"_blank\" rel=\"noopener\"><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&nbsp;\r\n\r\n<img class=\"aligncenter size-full wp-image-69\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-1.jpg\" alt=\"\" width=\"1421\" height=\"1749\" \/> <img class=\"aligncenter size-full wp-image-70\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-2.jpg\" alt=\"\" width=\"1369\" height=\"1793\" \/> <img class=\"aligncenter size-full wp-image-71\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-3.jpg\" alt=\"\" width=\"1349\" height=\"1889\" \/> <img class=\"aligncenter size-full wp-image-72\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-4.jpg\" alt=\"\" width=\"1405\" height=\"1877\" \/> <img class=\"aligncenter size-full wp-image-73\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-5.jpg\" alt=\"\" width=\"1349\" height=\"1797\" \/> <img class=\"aligncenter size-full wp-image-74\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-6.jpg\" alt=\"\" width=\"1365\" height=\"941\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Markov Chains - VII<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/18D7yk-r4SQ\" target=\"_blank\" rel=\"noopener\"><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\/18D7yk-r4SQ\" target=\"_blank\" rel=\"noopener\"><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>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-69\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-1.jpg\" alt=\"\" width=\"1421\" height=\"1749\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-1.jpg 1421w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-1-244x300.jpg 244w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-1-768x945.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-1-832x1024.jpg 832w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-1-65x80.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-1-225x277.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-1-350x431.jpg 350w\" sizes=\"auto, (max-width: 1421px) 100vw, 1421px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-70\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-2.jpg\" alt=\"\" width=\"1369\" height=\"1793\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-2.jpg 1369w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-2-229x300.jpg 229w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-2-768x1006.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-2-782x1024.jpg 782w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-2-65x85.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-2-225x295.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-2-350x458.jpg 350w\" sizes=\"auto, (max-width: 1369px) 100vw, 1369px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-71\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-3.jpg\" alt=\"\" width=\"1349\" height=\"1889\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-3.jpg 1349w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-3-214x300.jpg 214w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-3-768x1075.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-3-731x1024.jpg 731w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-3-65x91.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-3-225x315.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-3-350x490.jpg 350w\" sizes=\"auto, (max-width: 1349px) 100vw, 1349px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-72\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-4.jpg\" alt=\"\" width=\"1405\" height=\"1877\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-4.jpg 1405w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-4-225x301.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-4-768x1026.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-4-766x1024.jpg 766w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-4-65x87.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-4-350x468.jpg 350w\" sizes=\"auto, (max-width: 1405px) 100vw, 1405px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-73\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-5.jpg\" alt=\"\" width=\"1349\" height=\"1797\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-5.jpg 1349w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-5-225x300.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-5-768x1023.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-5-769x1024.jpg 769w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-5-65x87.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-5-350x466.jpg 350w\" sizes=\"auto, (max-width: 1349px) 100vw, 1349px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-74\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-6.jpg\" alt=\"\" width=\"1365\" height=\"941\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-6.jpg 1365w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-6-300x207.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-6-768x529.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-6-1024x706.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-6-65x45.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-6-225x155.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525338463module-7-MC7_runningtext-6-350x241.jpg 350w\" sizes=\"auto, (max-width: 1365px) 100vw, 1365px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Markov Chains &#8211; VII<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/18D7yk-r4SQ\" target=\"_blank\" rel=\"noopener\"><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":7,"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-68","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\/68","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":1,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/chapters\/68\/revisions"}],"predecessor-version":[{"id":75,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/chapters\/68\/revisions\/75"}],"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\/68\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/wp\/v2\/media?parent=68"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/chapter-type?post=68"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/wp\/v2\/contributor?post=68"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/wp\/v2\/license?post=68"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}