{"id":242,"date":"2018-12-29T10:06:45","date_gmt":"2018-12-29T10:06:45","guid":{"rendered":"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=242"},"modified":"2018-12-29T10:07:53","modified_gmt":"2018-12-29T10:07:53","slug":"stationarity-ergodicity-and-theautocorrelation-function","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/chapter\/stationarity-ergodicity-and-theautocorrelation-function\/","title":{"rendered":"Stationarity, Ergodicity and theAutocorrelation Function"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/FFBQ87yFfm4\" 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-243\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-04.jpg\" alt=\"\" width=\"877\" height=\"445\" \/> <img class=\"aligncenter size-full wp-image-244\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-05.jpg\" alt=\"\" width=\"871\" height=\"549\" \/> <img class=\"aligncenter size-full wp-image-245\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-11.jpg\" alt=\"\" width=\"887\" height=\"553\" \/> <img class=\"aligncenter size-full wp-image-246\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-16.jpg\" alt=\"\" width=\"857\" height=\"477\" \/> <img class=\"aligncenter size-full wp-image-247\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-21.jpg\" alt=\"\" width=\"875\" height=\"567\" \/> <img class=\"aligncenter size-full wp-image-248\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-22.jpg\" alt=\"\" width=\"877\" height=\"563\" \/> <img class=\"aligncenter size-full wp-image-249\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-24.jpg\" alt=\"\" width=\"836\" height=\"512\" \/> <img class=\"aligncenter size-full wp-image-250\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-25.jpg\" alt=\"\" width=\"1008\" height=\"756\" \/> <img class=\"aligncenter size-full wp-image-251\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-26.jpg\" alt=\"\" width=\"1008\" height=\"756\" \/> <img class=\"aligncenter size-full wp-image-252\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-27.jpg\" alt=\"\" width=\"1008\" height=\"756\" \/> <img class=\"aligncenter size-full wp-image-253\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-28.jpg\" alt=\"\" width=\"1008\" height=\"756\" \/> <img class=\"aligncenter size-full wp-image-254\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-29.jpg\" alt=\"\" width=\"876\" height=\"499\" \/> <img class=\"aligncenter size-full wp-image-255\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-32.jpg\" alt=\"\" width=\"837\" height=\"398\" \/> <img class=\"aligncenter size-full wp-image-256\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-35.jpg\" alt=\"\" width=\"843\" height=\"433\" \/> <img class=\"aligncenter size-full wp-image-257\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-36.jpg\" alt=\"\" width=\"868\" height=\"450\" \/> <img class=\"aligncenter size-full wp-image-258\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-39.jpg\" alt=\"\" width=\"838\" height=\"356\" \/> <img class=\"aligncenter size-full wp-image-259\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-41.jpg\" alt=\"\" width=\"872\" height=\"629\" \/> <img class=\"aligncenter size-full wp-image-260\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-44.jpg\" alt=\"\" width=\"857\" height=\"295\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Stationarity, Ergodicity and theAutocorrelation Function<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/FFBQ87yFfm4\" 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\/FFBQ87yFfm4\" 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-243\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-04.jpg\" alt=\"\" width=\"877\" height=\"445\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-04.jpg 877w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-04-300x152.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-04-768x390.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-04-65x33.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-04-225x114.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-04-350x178.jpg 350w\" sizes=\"auto, (max-width: 877px) 100vw, 877px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-244\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-05.jpg\" alt=\"\" width=\"871\" height=\"549\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-05.jpg 871w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-05-300x189.jpg 300w, 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src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-25.jpg\" alt=\"\" width=\"1008\" height=\"756\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-25.jpg 1008w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-25-300x225.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-25-768x576.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-25-65x49.jpg 65w, 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https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-41-768x554.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-41-65x47.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-41-225x162.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-41-350x252.jpg 350w\" sizes=\"auto, (max-width: 872px) 100vw, 872px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-260\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-44.jpg\" alt=\"\" width=\"857\" height=\"295\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-44.jpg 857w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-44-300x103.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-44-768x264.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-44-65x22.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-44-225x77.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/15325130679757_et_spts_stationarity_ergodicity_and_the_autocorrelatin_function-44-350x120.jpg 350w\" sizes=\"auto, (max-width: 857px) 100vw, 857px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Stationarity, Ergodicity and theAutocorrelation Function<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/FFBQ87yFfm4\" 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":29,"template":"","meta":{"_acf_changed":false,"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["samopriya-basu","sugata-sen-roy"],"pb_section_license":""},"chapter-type":[],"contributor":[59,60],"license":[],"class_list":["post-242","chapter","type-chapter","status-publish","hentry","contributor-samopriya-basu","contributor-sugata-sen-roy"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/chapters\/242","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\/242\/revisions"}],"predecessor-version":[{"id":261,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/chapters\/242\/revisions\/261"}],"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\/242\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/wp\/v2\/media?parent=242"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/chapter-type?post=242"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/wp\/v2\/contributor?post=242"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/wp\/v2\/license?post=242"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}