{"id":116,"date":"2018-12-26T09:03:44","date_gmt":"2018-12-26T09:03:44","guid":{"rendered":"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=116"},"modified":"2018-12-26T09:04:04","modified_gmt":"2018-12-26T09:04:04","slug":"important-theorems-on-appliacation-of-sufficient-statistics","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/chapter\/important-theorems-on-appliacation-of-sufficient-statistics\/","title":{"rendered":"important theorems on appliacation of sufficient statistics"},"content":{"raw":"<img class=\"aligncenter size-full wp-image-117\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-1.jpg\" alt=\"\" width=\"1201\" height=\"1713\" \/> <img class=\"aligncenter size-full wp-image-118\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-2.jpg\" alt=\"\" width=\"1185\" height=\"1517\" \/> <img class=\"aligncenter size-full wp-image-119\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-3.jpg\" alt=\"\" width=\"1165\" height=\"1561\" \/> <img class=\"aligncenter size-full wp-image-120\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-4.jpg\" alt=\"\" width=\"1217\" height=\"1609\" \/> <img class=\"aligncenter size-full wp-image-121\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-5.jpg\" alt=\"\" width=\"1153\" height=\"1053\" \/>\r\n<p style=\"text-align: justify\">Learn More<\/p>\r\n\r\n<ul>\r\n \t<li style=\"text-align: justify\">Casella, G. and Berger, R.L. (2002) : Statistical Inference. Duxbury.<\/li>\r\n \t<li style=\"text-align: justify\">Kale, B.K. (1999) : A First Course on Parametric Inference Narosa Publishing House.<\/li>\r\n \t<li style=\"text-align: justify\">Lehmann, E.L. and Casella, G. (1998) : Theory of Point Estimation Springer. Chapter 5.<\/li>\r\n \t<li style=\"text-align: justify\">Rohatgi, V.K. and Md.Saleh, A.K.(2001): An Introduction to Proba-bility and Statistics. John Wiley.<\/li>\r\n<\/ul>","rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-117\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-1.jpg\" alt=\"\" width=\"1201\" height=\"1713\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-1.jpg 1201w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-1-210x300.jpg 210w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-1-768x1095.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-1-718x1024.jpg 718w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-1-65x93.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-1-225x321.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-1-350x499.jpg 350w\" sizes=\"auto, (max-width: 1201px) 100vw, 1201px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-118\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-2.jpg\" alt=\"\" width=\"1185\" height=\"1517\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-2.jpg 1185w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-2-234x300.jpg 234w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-2-768x983.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-2-800x1024.jpg 800w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-2-65x83.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-2-225x288.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-2-350x448.jpg 350w\" sizes=\"auto, (max-width: 1185px) 100vw, 1185px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-119\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-3.jpg\" alt=\"\" width=\"1165\" height=\"1561\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-3.jpg 1165w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-3-224x300.jpg 224w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-3-768x1029.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-3-764x1024.jpg 764w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-3-65x87.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-3-225x301.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-3-350x469.jpg 350w\" sizes=\"auto, (max-width: 1165px) 100vw, 1165px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-120\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-4.jpg\" alt=\"\" width=\"1217\" height=\"1609\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-4.jpg 1217w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-4-227x300.jpg 227w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-4-768x1015.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-4-775x1024.jpg 775w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-4-65x86.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-4-225x297.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-4-350x463.jpg 350w\" sizes=\"auto, (max-width: 1217px) 100vw, 1217px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-121\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-5.jpg\" alt=\"\" width=\"1153\" height=\"1053\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-5.jpg 1153w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-5-300x274.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-5-768x701.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-5-1024x935.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-5-65x59.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-5-225x205.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9516_et_module-13-5-350x320.jpg 350w\" sizes=\"auto, (max-width: 1153px) 100vw, 1153px\" \/><\/p>\n<p style=\"text-align: justify\">Learn More<\/p>\n<ul>\n<li style=\"text-align: justify\">Casella, G. and Berger, R.L. (2002) : Statistical Inference. Duxbury.<\/li>\n<li style=\"text-align: justify\">Kale, B.K. (1999) : A First Course on Parametric Inference Narosa Publishing House.<\/li>\n<li style=\"text-align: justify\">Lehmann, E.L. and Casella, G. (1998) : Theory of Point Estimation Springer. Chapter 5.<\/li>\n<li style=\"text-align: justify\">Rohatgi, V.K. and Md.Saleh, A.K.(2001): An Introduction to Proba-bility and Statistics. John Wiley.<\/li>\n<\/ul>\n","protected":false},"author":3,"menu_order":13,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["shirsendu-mukherjee"],"pb_section_license":""},"chapter-type":[],"contributor":[59],"license":[],"class_list":["post-116","chapter","type-chapter","status-publish","hentry","contributor-shirsendu-mukherjee"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/pressbooks\/v2\/chapters\/116","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/wp\/v2\/users\/3"}],"version-history":[{"count":1,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/pressbooks\/v2\/chapters\/116\/revisions"}],"predecessor-version":[{"id":122,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/pressbooks\/v2\/chapters\/116\/revisions\/122"}],"part":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/pressbooks\/v2\/chapters\/116\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/wp\/v2\/media?parent=116"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/pressbooks\/v2\/chapter-type?post=116"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/wp\/v2\/contributor?post=116"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/wp\/v2\/license?post=116"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}