{"id":130,"date":"2018-12-26T09:07:30","date_gmt":"2018-12-26T09:07:30","guid":{"rendered":"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=130"},"modified":"2018-12-27T04:37:19","modified_gmt":"2018-12-27T04:37:19","slug":"cramer-rao-lower-bound","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/chapter\/cramer-rao-lower-bound\/","title":{"rendered":"Cramer-Rao lower bound"},"content":{"raw":"<img class=\"aligncenter size-full wp-image-137\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-1-1.jpg\" alt=\"\" width=\"1144\" height=\"1580\" \/> <img class=\"aligncenter size-full wp-image-132\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-2.jpg\" alt=\"\" width=\"1225\" height=\"1657\" \/> <img class=\"aligncenter size-full wp-image-133\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-3.jpg\" alt=\"\" width=\"1201\" height=\"1613\" \/> <img class=\"aligncenter size-full wp-image-134\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-4.jpg\" alt=\"\" width=\"1201\" height=\"1609\" \/> <img class=\"aligncenter size-full wp-image-135\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-5.jpg\" alt=\"\" width=\"1257\" height=\"1573\" \/> <img class=\"aligncenter size-full wp-image-136\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-6.jpg\" alt=\"\" width=\"1233\" height=\"381\" \/>\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-137\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-1-1.jpg\" alt=\"\" width=\"1144\" height=\"1580\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-1-1.jpg 1144w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-1-1-217x300.jpg 217w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-1-1-768x1061.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-1-1-741x1024.jpg 741w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-1-1-65x90.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-1-1-225x311.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-1-1-350x483.jpg 350w\" sizes=\"auto, (max-width: 1144px) 100vw, 1144px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-132\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-2.jpg\" alt=\"\" width=\"1225\" height=\"1657\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-2.jpg 1225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-2-222x300.jpg 222w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-2-768x1039.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-2-757x1024.jpg 757w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-2-65x88.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-2-225x304.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-2-350x473.jpg 350w\" sizes=\"auto, (max-width: 1225px) 100vw, 1225px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-133\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-3.jpg\" alt=\"\" width=\"1201\" height=\"1613\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-3.jpg 1201w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-3-223x300.jpg 223w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-3-768x1031.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-3-762x1024.jpg 762w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-3-65x87.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-3-225x302.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-3-350x470.jpg 350w\" sizes=\"auto, (max-width: 1201px) 100vw, 1201px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-134\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-4.jpg\" alt=\"\" width=\"1201\" height=\"1609\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-4.jpg 1201w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-4-224x300.jpg 224w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-4-768x1029.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-4-764x1024.jpg 764w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-4-65x87.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-4-225x301.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-4-350x469.jpg 350w\" sizes=\"auto, (max-width: 1201px) 100vw, 1201px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-135\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-5.jpg\" alt=\"\" width=\"1257\" height=\"1573\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-5.jpg 1257w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-5-240x300.jpg 240w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-5-768x961.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-5-818x1024.jpg 818w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-5-65x81.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-5-225x282.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-5-350x438.jpg 350w\" sizes=\"auto, (max-width: 1257px) 100vw, 1257px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-136\" src=\"http:\/\/statp04.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-6.jpg\" alt=\"\" width=\"1233\" height=\"381\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-6.jpg 1233w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-6-300x93.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-6-768x237.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-6-1024x316.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-6-65x20.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-6-225x70.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-content\/uploads\/sites\/129\/2018\/12\/9523_et_module-15-6-350x108.jpg 350w\" sizes=\"auto, (max-width: 1233px) 100vw, 1233px\" \/><\/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":15,"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-130","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\/130","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\/130\/revisions"}],"predecessor-version":[{"id":138,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/pressbooks\/v2\/chapters\/130\/revisions\/138"}],"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\/130\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/wp\/v2\/media?parent=130"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/pressbooks\/v2\/chapter-type?post=130"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/wp\/v2\/contributor?post=130"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp04\/wp-json\/wp\/v2\/license?post=130"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}