{"id":166,"date":"2018-12-29T09:49:36","date_gmt":"2018-12-29T09:49:36","guid":{"rendered":"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=166"},"modified":"2018-12-29T09:49:45","modified_gmt":"2018-12-29T09:49:45","slug":"renewal-process-i","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/chapter\/renewal-process-i\/","title":{"rendered":"Renewal Process &#8211; I"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/ihNiBku7Pec\" 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<img class=\"aligncenter size-full wp-image-167\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-1.jpg\" alt=\"\" width=\"1245\" height=\"1737\" \/> <img class=\"aligncenter size-full wp-image-168\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-2.jpg\" alt=\"\" width=\"1341\" height=\"1351\" \/> <img class=\"aligncenter size-full wp-image-169\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-3.jpg\" alt=\"\" width=\"1325\" height=\"1797\" \/> <img class=\"aligncenter size-full wp-image-170\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-4.jpg\" alt=\"\" width=\"1321\" height=\"1299\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Renewal Process - I<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/ihNiBku7Pec\" 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&nbsp;\r\n\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 Application<\/li>\r\n<\/ul>","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/ihNiBku7Pec\" 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><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-167\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-1.jpg\" alt=\"\" width=\"1245\" height=\"1737\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-1.jpg 1245w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-1-215x300.jpg 215w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-1-768x1071.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-1-734x1024.jpg 734w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-1-65x91.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-1-225x314.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-1-350x488.jpg 350w\" sizes=\"auto, (max-width: 1245px) 100vw, 1245px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-168\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-2.jpg\" alt=\"\" width=\"1341\" height=\"1351\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-2.jpg 1341w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-2-150x150.jpg 150w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-2-298x300.jpg 298w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-2-768x774.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-2-1016x1024.jpg 1016w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-2-65x65.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-2-225x227.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-2-350x353.jpg 350w\" sizes=\"auto, (max-width: 1341px) 100vw, 1341px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-169\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-3.jpg\" alt=\"\" width=\"1325\" height=\"1797\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-3.jpg 1325w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-3-221x300.jpg 221w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-3-768x1042.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-3-755x1024.jpg 755w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-3-65x88.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-3-225x305.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-3-350x475.jpg 350w\" sizes=\"auto, (max-width: 1325px) 100vw, 1325px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-170\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-4.jpg\" alt=\"\" width=\"1321\" height=\"1299\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-4.jpg 1321w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-4-300x295.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-4-768x755.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-4-1024x1007.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-4-65x64.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-4-225x221.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1525339405module-22-RP-1_runningtext-4-350x344.jpg 350w\" sizes=\"auto, (max-width: 1321px) 100vw, 1321px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Renewal Process &#8211; I<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/ihNiBku7Pec\" 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>&nbsp;<\/p>\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 Application<\/li>\n<\/ul>\n","protected":false},"author":3,"menu_order":22,"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-166","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\/166","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\/166\/revisions"}],"predecessor-version":[{"id":171,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/chapters\/166\/revisions\/171"}],"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\/166\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/wp\/v2\/media?parent=166"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/chapter-type?post=166"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/wp\/v2\/contributor?post=166"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/wp\/v2\/license?post=166"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}