{"id":83,"date":"2018-12-26T06:08:40","date_gmt":"2018-12-26T06:08:40","guid":{"rendered":"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=83"},"modified":"2018-12-26T06:11:34","modified_gmt":"2018-12-26T06:11:34","slug":"minimal-sufficiency","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/chapter\/minimal-sufficiency\/","title":{"rendered":"Minimal Sufficiency"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/G5S2J7DRDGA\" 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&nbsp;\r\n\r\n<img class=\"aligncenter size-full wp-image-84\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-1.jpg\" alt=\"\" width=\"1173\" height=\"1585\" \/> <img class=\"aligncenter size-full wp-image-85\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-2.jpg\" alt=\"\" width=\"1129\" height=\"1565\" \/> <img class=\"aligncenter size-full wp-image-86\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-3.jpg\" alt=\"\" width=\"1141\" height=\"1569\" \/> <img class=\"aligncenter size-full wp-image-87\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-4.jpg\" alt=\"\" width=\"1181\" height=\"1613\" \/> <img class=\"aligncenter size-full wp-image-88\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-5.jpg\" alt=\"\" width=\"1137\" height=\"1629\" \/> <img class=\"aligncenter size-full wp-image-89\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-6.jpg\" alt=\"\" width=\"1133\" height=\"1581\" \/> <img class=\"aligncenter size-full wp-image-93\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-7-1.jpg\" alt=\"\" width=\"1209\" height=\"1517\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Minimal Sufficiency<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/G5S2J7DRDGA\" 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 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":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/G5S2J7DRDGA\" 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>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-84\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-1.jpg\" alt=\"\" width=\"1173\" height=\"1585\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-1.jpg 1173w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-1-222x300.jpg 222w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-1-768x1038.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-1-758x1024.jpg 758w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-1-65x88.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-1-225x304.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-1-350x473.jpg 350w\" sizes=\"auto, (max-width: 1173px) 100vw, 1173px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-85\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-2.jpg\" alt=\"\" width=\"1129\" height=\"1565\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-2.jpg 1129w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-2-216x300.jpg 216w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-2-768x1065.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-2-739x1024.jpg 739w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-2-65x90.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-2-225x312.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-2-350x485.jpg 350w\" sizes=\"auto, (max-width: 1129px) 100vw, 1129px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-86\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-3.jpg\" alt=\"\" width=\"1141\" height=\"1569\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-3.jpg 1141w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-3-218x300.jpg 218w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-3-768x1056.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-3-745x1024.jpg 745w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-3-65x89.jpg 65w, 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https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-4-750x1024.jpg 750w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-4-65x89.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-4-225x307.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-4-350x478.jpg 350w\" sizes=\"auto, (max-width: 1181px) 100vw, 1181px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-88\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-5.jpg\" alt=\"\" width=\"1137\" height=\"1629\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-5.jpg 1137w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-5-209x300.jpg 209w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-5-768x1100.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-5-715x1024.jpg 715w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-5-65x93.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-5-225x322.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-5-350x501.jpg 350w\" sizes=\"auto, (max-width: 1137px) 100vw, 1137px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-89\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-6.jpg\" alt=\"\" width=\"1133\" height=\"1581\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-6.jpg 1133w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-6-215x300.jpg 215w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-6-768x1072.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-6-734x1024.jpg 734w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-6-65x91.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-6-225x314.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-6-350x488.jpg 350w\" sizes=\"auto, (max-width: 1133px) 100vw, 1133px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-93\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-7-1.jpg\" alt=\"\" width=\"1209\" height=\"1517\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-7-1.jpg 1209w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-7-1-239x300.jpg 239w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-7-1-768x964.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-7-1-816x1024.jpg 816w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-7-1-65x82.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-7-1-225x282.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/1522645532MinimalSufficiency-7-1-350x439.jpg 350w\" sizes=\"auto, (max-width: 1209px) 100vw, 1209px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Minimal Sufficiency<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/G5S2J7DRDGA\" 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 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":9,"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-83","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\/83","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":3,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/pressbooks\/v2\/chapters\/83\/revisions"}],"predecessor-version":[{"id":94,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/pressbooks\/v2\/chapters\/83\/revisions\/94"}],"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\/83\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/wp\/v2\/media?parent=83"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/pressbooks\/v2\/chapter-type?post=83"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/wp\/v2\/contributor?post=83"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/wp\/v2\/license?post=83"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}