{"id":274,"date":"2018-12-27T06:12:45","date_gmt":"2018-12-27T06:12:45","guid":{"rendered":"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=274"},"modified":"2018-12-27T06:16:29","modified_gmt":"2018-12-27T06:16:29","slug":"locally-most-powerful-tests","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/chapter\/locally-most-powerful-tests\/","title":{"rendered":"Locally most powerful tests"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/pxEq5JMt03I\" 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-275\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-1.jpg\" alt=\"\" width=\"1305\" height=\"1861\" \/> <img class=\"aligncenter size-full wp-image-276\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-2.jpg\" alt=\"\" width=\"1293\" height=\"1669\" \/> <img class=\"aligncenter size-full wp-image-277\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-3.jpg\" alt=\"\" width=\"1285\" height=\"1793\" \/> <img class=\"aligncenter size-full wp-image-278\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-4.jpg\" alt=\"\" width=\"1329\" height=\"1801\" \/> <img class=\"aligncenter size-full wp-image-279\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-5.jpg\" alt=\"\" width=\"1409\" height=\"1881\" \/> <img class=\"aligncenter size-full wp-image-280\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-6.jpg\" alt=\"\" width=\"1261\" height=\"1781\" \/> <img class=\"aligncenter size-full wp-image-281\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-7.jpg\" alt=\"\" width=\"1049\" height=\"397\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Locally most powerful tests<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/pxEq5JMt03I\" 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<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>\r\n&nbsp;","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/pxEq5JMt03I\" 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-275\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-1.jpg\" alt=\"\" width=\"1305\" height=\"1861\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-1.jpg 1305w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-1-210x300.jpg 210w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-1-768x1095.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-1-718x1024.jpg 718w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-1-65x93.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-1-225x321.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-1-350x499.jpg 350w\" sizes=\"auto, (max-width: 1305px) 100vw, 1305px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-276\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-2.jpg\" alt=\"\" width=\"1293\" height=\"1669\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-2.jpg 1293w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-2-232x300.jpg 232w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-2-768x991.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-2-793x1024.jpg 793w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-2-65x84.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-2-225x290.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-2-350x452.jpg 350w\" sizes=\"auto, (max-width: 1293px) 100vw, 1293px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-277\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-3.jpg\" alt=\"\" width=\"1285\" height=\"1793\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-3.jpg 1285w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-3-215x300.jpg 215w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-3-768x1072.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-3-734x1024.jpg 734w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-3-65x91.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-3-225x314.jpg 225w, 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https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-5-768x1025.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-5-767x1024.jpg 767w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-5-65x87.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-5-350x467.jpg 350w\" sizes=\"auto, (max-width: 1409px) 100vw, 1409px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-280\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-6.jpg\" alt=\"\" width=\"1261\" height=\"1781\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-6.jpg 1261w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-6-212x300.jpg 212w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-6-768x1085.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-6-725x1024.jpg 725w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-6-65x92.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-6-225x318.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-6-350x494.jpg 350w\" sizes=\"auto, (max-width: 1261px) 100vw, 1261px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-281\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-7.jpg\" alt=\"\" width=\"1049\" height=\"397\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-7.jpg 1049w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-7-300x114.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-7-768x291.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-7-1024x388.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-7-65x25.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-7-225x85.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1499858174Module-35-7-350x132.jpg 350w\" sizes=\"auto, (max-width: 1049px) 100vw, 1049px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Locally most powerful tests<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/pxEq5JMt03I\" 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 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<p>&nbsp;<\/p>\n","protected":false},"author":3,"menu_order":33,"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-274","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\/274","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\/274\/revisions"}],"predecessor-version":[{"id":282,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/pressbooks\/v2\/chapters\/274\/revisions\/282"}],"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\/274\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/wp\/v2\/media?parent=274"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/pressbooks\/v2\/chapter-type?post=274"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/wp\/v2\/contributor?post=274"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/wp\/v2\/license?post=274"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}