{"id":76,"date":"2018-12-26T05:31:28","date_gmt":"2018-12-26T05:31:28","guid":{"rendered":"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=76"},"modified":"2018-12-26T06:04:28","modified_gmt":"2018-12-26T06:04:28","slug":"exponential-families-of-distributions","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/chapter\/exponential-families-of-distributions\/","title":{"rendered":"Exponential families of distributions"},"content":{"raw":"<img class=\"aligncenter size-full wp-image-77\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-1.jpg\" alt=\"\" width=\"1161\" height=\"1577\" \/> <img class=\"aligncenter size-full wp-image-78\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-2.jpg\" alt=\"\" width=\"1149\" height=\"1569\" \/> <img class=\"aligncenter size-full wp-image-79\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-3.jpg\" alt=\"\" width=\"1261\" height=\"1589\" \/> <img class=\"aligncenter size-full wp-image-80\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-4.jpg\" alt=\"\" width=\"1257\" height=\"1585\" \/> <img class=\"aligncenter size-full wp-image-81\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-5.jpg\" alt=\"\" width=\"1329\" height=\"1133\" \/>\r\n\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":"<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-77\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-1.jpg\" alt=\"\" width=\"1161\" height=\"1577\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-1.jpg 1161w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-1-221x300.jpg 221w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-1-768x1043.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-1-754x1024.jpg 754w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-1-65x88.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-1-225x306.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-1-350x475.jpg 350w\" sizes=\"auto, (max-width: 1161px) 100vw, 1161px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-78\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-2.jpg\" alt=\"\" width=\"1149\" height=\"1569\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-2.jpg 1149w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-2-220x300.jpg 220w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-2-768x1049.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-2-750x1024.jpg 750w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-2-65x89.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-2-225x307.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-2-350x478.jpg 350w\" sizes=\"auto, (max-width: 1149px) 100vw, 1149px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-79\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-3.jpg\" alt=\"\" width=\"1261\" height=\"1589\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-3.jpg 1261w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-3-238x300.jpg 238w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-3-768x968.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-3-813x1024.jpg 813w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-3-65x82.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-3-225x284.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-3-350x441.jpg 350w\" sizes=\"auto, (max-width: 1261px) 100vw, 1261px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-80\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-4.jpg\" alt=\"\" width=\"1257\" height=\"1585\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-4.jpg 1257w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-4-238x300.jpg 238w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-4-768x968.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-4-812x1024.jpg 812w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-4-65x82.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-4-225x284.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-4-350x441.jpg 350w\" sizes=\"auto, (max-width: 1257px) 100vw, 1257px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-81\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-5.jpg\" alt=\"\" width=\"1329\" height=\"1133\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-5.jpg 1329w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-5-300x256.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-5-768x655.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-5-1024x873.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-5-65x55.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-5-225x192.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9522_et_module-8-5-350x298.jpg 350w\" sizes=\"auto, (max-width: 1329px) 100vw, 1329px\" \/><\/p>\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":8,"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-76","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\/76","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\/76\/revisions"}],"predecessor-version":[{"id":82,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/pressbooks\/v2\/chapters\/76\/revisions\/82"}],"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\/76\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/wp\/v2\/media?parent=76"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/pressbooks\/v2\/chapter-type?post=76"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/wp\/v2\/contributor?post=76"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/wp\/v2\/license?post=76"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}