{"id":1183,"date":"2019-01-08T06:54:37","date_gmt":"2019-01-08T06:54:37","guid":{"rendered":"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=1183"},"modified":"2019-01-08T06:55:04","modified_gmt":"2019-01-08T06:55:04","slug":"conditional-and-marginal-likelihood","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/chapter\/conditional-and-marginal-likelihood\/","title":{"rendered":"Conditional and Marginal Likelihood"},"content":{"raw":"<img class=\"aligncenter size-full wp-image-1184\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_02.jpg\" alt=\"\" width=\"1509\" height=\"741\" \/> <img class=\"aligncenter size-full wp-image-1185\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_03.jpg\" alt=\"\" width=\"1511\" height=\"535\" \/> <img class=\"aligncenter size-full wp-image-1186\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_04.jpg\" alt=\"\" width=\"1511\" height=\"845\" \/> <img class=\"aligncenter size-full wp-image-1187\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_05.jpg\" alt=\"\" width=\"1509\" height=\"773\" \/> <img class=\"aligncenter size-full wp-image-1188\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_06.jpg\" alt=\"\" width=\"1511\" height=\"519\" \/> <img class=\"aligncenter size-full wp-image-1189\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_07.jpg\" alt=\"\" width=\"1511\" height=\"601\" \/> <img class=\"aligncenter size-full wp-image-1190\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_08.jpg\" alt=\"\" width=\"1507\" height=\"521\" \/> <img class=\"aligncenter size-full wp-image-1191\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_09.jpg\" alt=\"\" width=\"1511\" height=\"647\" \/> <img class=\"aligncenter size-full wp-image-1192\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_10.jpg\" alt=\"\" width=\"1511\" height=\"887\" \/> <img class=\"aligncenter size-full wp-image-1193\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_11.jpg\" alt=\"\" width=\"1509\" height=\"715\" \/> <img class=\"aligncenter size-full wp-image-1194\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_12.jpg\" alt=\"\" width=\"1511\" height=\"1043\" \/> <img class=\"aligncenter size-full wp-image-1195\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_13.jpg\" alt=\"\" width=\"1511\" height=\"873\" \/> <img class=\"aligncenter size-full wp-image-1196\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_14.jpg\" alt=\"\" width=\"1511\" height=\"761\" \/> <img class=\"aligncenter size-full wp-image-1197\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_15.jpg\" alt=\"\" width=\"1509\" height=\"805\" \/> <img class=\"aligncenter size-full wp-image-1198\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_16.jpg\" alt=\"\" width=\"1511\" height=\"671\" \/> <img class=\"aligncenter size-full wp-image-1199\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_17.jpg\" alt=\"\" width=\"1507\" height=\"791\" \/> <img class=\"aligncenter size-full wp-image-1200\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_18.jpg\" alt=\"\" width=\"1509\" height=\"563\" \/> <img class=\"aligncenter size-full wp-image-1201\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_19.jpg\" alt=\"\" width=\"1509\" height=\"715\" \/> <img class=\"aligncenter size-full wp-image-1202\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_20.jpg\" alt=\"\" width=\"1511\" height=\"947\" \/> <img class=\"aligncenter size-full wp-image-1203\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_21.jpg\" alt=\"\" width=\"1509\" height=\"769\" \/> <img class=\"aligncenter size-full wp-image-1204\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_22.jpg\" alt=\"\" width=\"1511\" height=\"1029\" \/>\r\n\r\n&nbsp;\r\n\r\n<strong>References:<\/strong>\r\n<ol>\r\n \t<li style=\"text-align: justify\">Theory of Point Estimation, Second Edition: Lehmann, E. L. and Casella, G.<\/li>\r\n \t<li style=\"text-align: justify\">Fujisawa, H. (2003) : Asymptotic properties of conditional maximum likelihood estimator in a certain exponential model. Journal of Multivariate Analysis,86, 126 - 142.<\/li>\r\n \t<li style=\"text-align: justify\">Chib, S. (1995) : Marginal likelihood from the Gibbs output. Journal of American Statistical Association,90, 1313 - 1321.<\/li>\r\n \t<li style=\"text-align: justify\">Categorical Data Analysis by Alan Agresti,Second Edition,Wiley-Interscience.<\/li>\r\n<\/ol>","rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1184\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_02.jpg\" alt=\"\" width=\"1509\" height=\"741\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_02.jpg 1509w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_02-300x147.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_02-768x377.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_02-1024x503.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_02-65x32.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_02-225x110.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_02-350x172.jpg 350w\" sizes=\"auto, (max-width: 1509px) 100vw, 1509px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1185\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_03.jpg\" alt=\"\" width=\"1511\" height=\"535\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_03.jpg 1511w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_03-300x106.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_03-768x272.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_03-1024x363.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_03-65x23.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_03-225x80.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_03-350x124.jpg 350w\" sizes=\"auto, 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https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_20-768x481.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_20-1024x642.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_20-65x41.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_20-225x141.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_20-350x219.jpg 350w\" sizes=\"auto, (max-width: 1511px) 100vw, 1511px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1203\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_21.jpg\" alt=\"\" width=\"1509\" height=\"769\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_21.jpg 1509w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_21-300x153.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_21-768x391.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_21-1024x522.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_21-65x33.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_21-225x115.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_21-350x178.jpg 350w\" sizes=\"auto, (max-width: 1509px) 100vw, 1509px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1204\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_22.jpg\" alt=\"\" width=\"1511\" height=\"1029\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_22.jpg 1511w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_22-300x204.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_22-768x523.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_22-1024x697.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_22-65x44.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_22-225x153.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465558010Module18Quadrant1_Page_22-350x238.jpg 350w\" sizes=\"auto, (max-width: 1511px) 100vw, 1511px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><strong>References:<\/strong><\/p>\n<ol>\n<li style=\"text-align: justify\">Theory of Point Estimation, Second Edition: Lehmann, E. L. and Casella, G.<\/li>\n<li style=\"text-align: justify\">Fujisawa, H. (2003) : Asymptotic properties of conditional maximum likelihood estimator in a certain exponential model. Journal of Multivariate Analysis,86, 126 &#8211; 142.<\/li>\n<li style=\"text-align: justify\">Chib, S. (1995) : Marginal likelihood from the Gibbs output. Journal of American Statistical Association,90, 1313 &#8211; 1321.<\/li>\n<li style=\"text-align: justify\">Categorical Data Analysis by Alan Agresti,Second Edition,Wiley-Interscience.<\/li>\n<\/ol>\n","protected":false},"author":4,"menu_order":38,"template":"","meta":{"_acf_changed":false,"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["saurav-de"],"pb_section_license":""},"chapter-type":[],"contributor":[59],"license":[],"class_list":["post-1183","chapter","type-chapter","status-publish","hentry","contributor-saurav-de"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapters\/1183","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/users\/4"}],"version-history":[{"count":1,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapters\/1183\/revisions"}],"predecessor-version":[{"id":1205,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapters\/1183\/revisions\/1205"}],"part":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapters\/1183\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/media?parent=1183"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapter-type?post=1183"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/contributor?post=1183"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/license?post=1183"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}