{"id":412,"date":"2018-12-29T10:24:26","date_gmt":"2018-12-29T10:24:26","guid":{"rendered":"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=412"},"modified":"2018-12-29T10:24:26","modified_gmt":"2018-12-29T10:24:26","slug":"periodogram-analysis","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/chapter\/periodogram-analysis\/","title":{"rendered":"Periodogram Analysis"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/VrxLAq4Fbxg\" 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<img class=\"aligncenter size-full wp-image-413\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-06-1.jpg\" alt=\"\" width=\"853\" height=\"581\" \/> <img class=\"aligncenter size-full wp-image-414\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-08-1.jpg\" alt=\"\" width=\"865\" height=\"571\" \/> <img class=\"aligncenter size-full wp-image-415\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-11-1.jpg\" alt=\"\" width=\"838\" height=\"399\" \/> <img class=\"aligncenter size-full wp-image-416\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-15-1.jpg\" alt=\"\" width=\"759\" height=\"583\" \/> <img class=\"aligncenter size-full wp-image-417\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-19-1.jpg\" alt=\"\" width=\"996\" height=\"641\" \/> <img class=\"aligncenter size-full wp-image-418\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-24-1.jpg\" alt=\"\" width=\"847\" height=\"478\" \/> <img class=\"aligncenter size-full wp-image-419\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-28-1.jpg\" alt=\"\" width=\"985\" height=\"589\" \/> <img class=\"aligncenter size-full wp-image-420\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-31-1.jpg\" alt=\"\" width=\"851\" height=\"492\" \/> <img class=\"aligncenter size-full wp-image-421\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-34-1.jpg\" alt=\"\" width=\"870\" height=\"644\" \/> <img class=\"aligncenter size-full wp-image-422\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-35-1.jpg\" alt=\"\" width=\"909\" height=\"635\" \/> <img class=\"aligncenter size-full wp-image-423\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-37-1.jpg\" alt=\"\" width=\"780\" height=\"450\" \/> <img class=\"aligncenter size-full wp-image-424\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-40-1.jpg\" alt=\"\" width=\"834\" height=\"610\" \/> <img class=\"aligncenter size-full wp-image-425\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-42-1.jpg\" alt=\"\" width=\"793\" height=\"509\" \/> <img class=\"aligncenter size-full wp-image-426\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-45-1.jpg\" alt=\"\" width=\"801\" height=\"426\" \/> <img class=\"aligncenter size-full wp-image-427\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-47-1.jpg\" alt=\"\" width=\"822\" height=\"624\" \/> <img class=\"aligncenter size-full wp-image-428\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-50-1.jpg\" alt=\"\" width=\"893\" height=\"321\" \/>\r\n\r\n&nbsp;\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Periodogram Analysis <\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/VrxLAq4Fbxg\" 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\/VrxLAq4Fbxg\" 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><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-413\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-06-1.jpg\" alt=\"\" width=\"853\" height=\"581\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-06-1.jpg 853w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-06-1-300x204.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-06-1-768x523.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-06-1-65x44.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-06-1-225x153.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-06-1-350x238.jpg 350w\" sizes=\"auto, (max-width: 853px) 100vw, 853px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-414\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-08-1.jpg\" alt=\"\" width=\"865\" height=\"571\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-08-1.jpg 865w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-08-1-300x198.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-08-1-768x507.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-08-1-65x43.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-08-1-225x149.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-08-1-350x231.jpg 350w\" sizes=\"auto, (max-width: 865px) 100vw, 865px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-415\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-11-1.jpg\" alt=\"\" width=\"838\" height=\"399\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-11-1.jpg 838w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-11-1-300x143.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-11-1-768x366.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-11-1-65x31.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-11-1-225x107.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-11-1-350x167.jpg 350w\" sizes=\"auto, (max-width: 838px) 100vw, 838px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-416\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-15-1.jpg\" alt=\"\" width=\"759\" height=\"583\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-15-1.jpg 759w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-15-1-300x230.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-15-1-65x50.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-15-1-225x173.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-15-1-350x269.jpg 350w\" sizes=\"auto, (max-width: 759px) 100vw, 759px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-417\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-19-1.jpg\" alt=\"\" width=\"996\" height=\"641\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-19-1.jpg 996w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-19-1-300x193.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-19-1-768x494.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-19-1-65x42.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-19-1-225x145.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-19-1-350x225.jpg 350w\" sizes=\"auto, (max-width: 996px) 100vw, 996px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-418\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-24-1.jpg\" alt=\"\" width=\"847\" height=\"478\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-24-1.jpg 847w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-24-1-300x169.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-24-1-768x433.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-24-1-65x37.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-24-1-225x127.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-24-1-350x198.jpg 350w\" sizes=\"auto, (max-width: 847px) 100vw, 847px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-419\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-28-1.jpg\" alt=\"\" width=\"985\" height=\"589\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-28-1.jpg 985w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-28-1-300x179.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-28-1-768x459.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-28-1-65x39.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-28-1-225x135.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-28-1-350x209.jpg 350w\" sizes=\"auto, (max-width: 985px) 100vw, 985px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-420\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-31-1.jpg\" alt=\"\" width=\"851\" height=\"492\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-31-1.jpg 851w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-31-1-300x173.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-31-1-768x444.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-31-1-65x38.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-31-1-225x130.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-31-1-350x202.jpg 350w\" sizes=\"auto, (max-width: 851px) 100vw, 851px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-421\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-34-1.jpg\" alt=\"\" width=\"870\" height=\"644\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-34-1.jpg 870w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-34-1-300x222.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-34-1-768x568.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-34-1-65x48.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-34-1-225x167.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-34-1-350x259.jpg 350w\" sizes=\"auto, (max-width: 870px) 100vw, 870px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-422\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-35-1.jpg\" alt=\"\" width=\"909\" height=\"635\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-35-1.jpg 909w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-35-1-300x210.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-35-1-768x537.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-35-1-65x45.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-35-1-225x157.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-35-1-350x244.jpg 350w\" sizes=\"auto, (max-width: 909px) 100vw, 909px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-423\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-37-1.jpg\" alt=\"\" width=\"780\" height=\"450\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-37-1.jpg 780w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-37-1-300x173.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-37-1-768x443.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-37-1-65x38.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-37-1-225x130.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-37-1-350x202.jpg 350w\" sizes=\"auto, (max-width: 780px) 100vw, 780px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-424\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-40-1.jpg\" alt=\"\" width=\"834\" height=\"610\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-40-1.jpg 834w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-40-1-300x219.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-40-1-768x562.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-40-1-65x48.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-40-1-225x165.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-40-1-350x256.jpg 350w\" sizes=\"auto, (max-width: 834px) 100vw, 834px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-425\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-42-1.jpg\" alt=\"\" width=\"793\" height=\"509\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-42-1.jpg 793w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-42-1-300x193.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-42-1-768x493.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-42-1-65x42.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-42-1-225x144.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-42-1-350x225.jpg 350w\" sizes=\"auto, (max-width: 793px) 100vw, 793px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-426\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-45-1.jpg\" alt=\"\" width=\"801\" height=\"426\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-45-1.jpg 801w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-45-1-300x160.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-45-1-768x408.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-45-1-65x35.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-45-1-225x120.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-45-1-350x186.jpg 350w\" sizes=\"auto, (max-width: 801px) 100vw, 801px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-427\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-47-1.jpg\" alt=\"\" width=\"822\" height=\"624\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-47-1.jpg 822w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-47-1-300x228.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-47-1-768x583.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-47-1-65x49.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-47-1-225x171.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-47-1-350x266.jpg 350w\" sizes=\"auto, (max-width: 822px) 100vw, 822px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-428\" src=\"http:\/\/statp10.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-50-1.jpg\" alt=\"\" width=\"893\" height=\"321\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-50-1.jpg 893w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-50-1-300x108.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-50-1-768x276.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-50-1-65x23.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-50-1-225x81.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-content\/uploads\/sites\/137\/2018\/12\/1465457283SPTS_SpectralDensityFunction-50-1-350x126.jpg 350w\" sizes=\"auto, (max-width: 893px) 100vw, 893px\" \/><\/p>\n<p>&nbsp;<\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Periodogram Analysis <\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/VrxLAq4Fbxg\" 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":38,"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-412","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\/412","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\/412\/revisions"}],"predecessor-version":[{"id":429,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/chapters\/412\/revisions\/429"}],"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\/412\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/wp\/v2\/media?parent=412"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/pressbooks\/v2\/chapter-type?post=412"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/wp\/v2\/contributor?post=412"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp10\/wp-json\/wp\/v2\/license?post=412"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}