{"id":265,"date":"2018-12-27T06:05:59","date_gmt":"2018-12-27T06:05:59","guid":{"rendered":"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=265"},"modified":"2018-12-27T06:10:59","modified_gmt":"2018-12-27T06:10:59","slug":"generalized-neyman-pearson-lemma-theory-of-umpu-tests","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/chapter\/generalized-neyman-pearson-lemma-theory-of-umpu-tests\/","title":{"rendered":"Generalized Neyman-Pearson lemma-Theory of UMPU tests"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/PbKQyZZqSh0\" 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-266\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-1.jpg\" alt=\"\" width=\"1297\" height=\"1861\" \/> <img class=\"aligncenter size-full wp-image-267\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-2.jpg\" alt=\"\" width=\"1313\" height=\"1793\" \/> <img class=\"aligncenter size-full wp-image-268\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-3.jpg\" alt=\"\" width=\"1417\" height=\"1853\" \/> <img class=\"aligncenter size-full wp-image-269\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-4.jpg\" alt=\"\" width=\"1293\" height=\"1809\" \/> <img class=\"aligncenter size-full wp-image-270\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-5.jpg\" alt=\"\" width=\"1289\" height=\"1777\" \/> <img class=\"aligncenter size-full wp-image-271\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-6.jpg\" alt=\"\" width=\"1281\" height=\"1773\" \/> <img class=\"aligncenter size-full wp-image-272\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-7.jpg\" alt=\"\" width=\"1307\" height=\"1282\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Generalized Neyman-Pearson lemma-Theory of UMPU tests <\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/PbKQyZZqSh0\" 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\nLearn More\r\n<ul>\r\n \t<li>Casella, G. and Berger, R.L. (2002) : Statistical Inference. Duxbury.<\/li>\r\n \t<li>Kale, B.K. (1999) : A First Course on Parametric Inference Narosa Publishing House.<\/li>\r\n \t<li>Lehmann, E.L. and Casella, G. (1998) : Theory of Point Estimation Springer. Chapter 5.<\/li>\r\n \t<li>Rohatgi, V.K. and Md.Saleh, A.K.(2001): An Introduction to Proba-bility and Statistics. John Wiley.<\/li>\r\n<\/ul>\r\n&nbsp;\r\n\r\n&nbsp;","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/PbKQyZZqSh0\" 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-266\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-1.jpg\" alt=\"\" width=\"1297\" height=\"1861\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-1.jpg 1297w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-1-209x300.jpg 209w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-1-768x1102.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-1-714x1024.jpg 714w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-1-65x93.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-1-225x323.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-1-350x502.jpg 350w\" sizes=\"auto, (max-width: 1297px) 100vw, 1297px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-267\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-2.jpg\" alt=\"\" width=\"1313\" height=\"1793\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-2.jpg 1313w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-2-220x300.jpg 220w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-2-768x1049.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-2-750x1024.jpg 750w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-2-65x89.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-2-225x307.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-2-350x478.jpg 350w\" sizes=\"auto, (max-width: 1313px) 100vw, 1313px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-268\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-3.jpg\" alt=\"\" width=\"1417\" height=\"1853\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-3.jpg 1417w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-3-229x300.jpg 229w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-3-768x1004.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-3-783x1024.jpg 783w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-3-65x85.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-3-225x294.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-3-350x458.jpg 350w\" sizes=\"auto, (max-width: 1417px) 100vw, 1417px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-269\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-4.jpg\" alt=\"\" width=\"1293\" height=\"1809\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-4.jpg 1293w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-4-214x300.jpg 214w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-4-768x1074.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-4-732x1024.jpg 732w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-4-65x91.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-4-225x315.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-4-350x490.jpg 350w\" sizes=\"auto, (max-width: 1293px) 100vw, 1293px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-270\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-5.jpg\" alt=\"\" width=\"1289\" height=\"1777\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-5.jpg 1289w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-5-218x300.jpg 218w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-5-768x1059.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-5-743x1024.jpg 743w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-5-65x90.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-5-225x310.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-5-350x483.jpg 350w\" sizes=\"auto, (max-width: 1289px) 100vw, 1289px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-271\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-6.jpg\" alt=\"\" width=\"1281\" height=\"1773\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-6.jpg 1281w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-6-217x300.jpg 217w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-6-768x1063.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-6-740x1024.jpg 740w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-6-65x90.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-6-225x311.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-6-350x484.jpg 350w\" sizes=\"auto, (max-width: 1281px) 100vw, 1281px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-272\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-7.jpg\" alt=\"\" width=\"1307\" height=\"1282\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-7.jpg 1307w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-7-300x294.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-7-768x753.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-7-1024x1004.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-7-65x64.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-7-225x221.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499851662Module-33-7-350x343.jpg 350w\" sizes=\"auto, (max-width: 1307px) 100vw, 1307px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Generalized Neyman-Pearson lemma-Theory of UMPU tests <\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/PbKQyZZqSh0\" 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>Learn More<\/p>\n<ul>\n<li>Casella, G. and Berger, R.L. (2002) : Statistical Inference. Duxbury.<\/li>\n<li>Kale, B.K. (1999) : A First Course on Parametric Inference Narosa Publishing House.<\/li>\n<li>Lehmann, E.L. and Casella, G. (1998) : Theory of Point Estimation Springer. Chapter 5.<\/li>\n<li>Rohatgi, V.K. and Md.Saleh, A.K.(2001): An Introduction to Proba-bility and Statistics. John Wiley.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"author":3,"menu_order":32,"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-265","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\/265","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\/265\/revisions"}],"predecessor-version":[{"id":273,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/pressbooks\/v2\/chapters\/265\/revisions\/273"}],"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\/265\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/wp\/v2\/media?parent=265"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/pressbooks\/v2\/chapter-type?post=265"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/wp\/v2\/contributor?post=265"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/wp\/v2\/license?post=265"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}