{"id":45,"date":"2018-12-31T05:34:15","date_gmt":"2018-12-31T05:34:15","guid":{"rendered":"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=45"},"modified":"2018-12-31T05:40:24","modified_gmt":"2018-12-31T05:40:24","slug":"multivariate-normal-distribution-and-related-inference-i","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp11\/chapter\/multivariate-normal-distribution-and-related-inference-i\/","title":{"rendered":"Multivariate Normal Distribution and Related Inference: I"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/0zlcvETZVHw\" 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&nbsp;\r\n\r\n<img class=\"aligncenter size-full wp-image-48\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-1.jpg\" alt=\"\" width=\"1431\" height=\"1225\" \/>\r\n\r\n<img class=\"aligncenter size-full wp-image-49\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-2.jpg\" alt=\"\" width=\"1457\" height=\"1901\" \/>\r\n\r\n<img class=\"aligncenter size-full wp-image-50\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-3.jpg\" alt=\"\" width=\"1421\" height=\"1873\" \/>\r\n\r\n<img class=\"aligncenter size-full wp-image-51\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-4.jpg\" alt=\"\" width=\"1409\" height=\"1829\" \/>\r\n\r\n<img class=\"aligncenter size-full wp-image-52\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-5.jpg\" alt=\"\" width=\"1425\" height=\"1797\" \/>\r\n\r\n<img class=\"aligncenter size-full wp-image-53\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-6.jpg\" alt=\"\" width=\"1173\" height=\"457\" \/>\r\n\r\n&nbsp;\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Multivariate Normal Distribution and Related Inference: I<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/0zlcvETZVHw\" 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<img class=\"aligncenter size-full wp-image-55\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684899MultivariateNormalDistributionandRelatedInference_1_Ref-09.jpg\" alt=\"\" width=\"947\" height=\"378\" \/>\r\n\r\n<img class=\"aligncenter size-full wp-image-56\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684899MultivariateNormalDistributionandRelatedInference_1_Ref-13.jpg\" alt=\"\" width=\"950\" height=\"362\" \/>","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/0zlcvETZVHw\" 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>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-48\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-1.jpg\" alt=\"\" width=\"1431\" height=\"1225\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-1.jpg 1431w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-1-300x257.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-1-768x657.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-1-1024x877.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-1-65x56.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-1-225x193.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-1-350x300.jpg 350w\" sizes=\"auto, (max-width: 1431px) 100vw, 1431px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-49\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-2.jpg\" alt=\"\" width=\"1457\" height=\"1901\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-2.jpg 1457w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-2-230x300.jpg 230w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-2-768x1002.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-2-785x1024.jpg 785w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-2-65x85.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-2-225x294.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-2-350x457.jpg 350w\" sizes=\"auto, (max-width: 1457px) 100vw, 1457px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-50\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-3.jpg\" alt=\"\" width=\"1421\" height=\"1873\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-3.jpg 1421w, 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350w\" sizes=\"auto, (max-width: 1421px) 100vw, 1421px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-51\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-4.jpg\" alt=\"\" width=\"1409\" height=\"1829\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-4.jpg 1409w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-4-231x300.jpg 231w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-4-768x997.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-4-789x1024.jpg 789w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-4-65x84.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-4-225x292.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-4-350x454.jpg 350w\" sizes=\"auto, (max-width: 1409px) 100vw, 1409px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-52\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-5.jpg\" alt=\"\" width=\"1425\" height=\"1797\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-5.jpg 1425w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-5-238x300.jpg 238w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-5-768x968.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-5-812x1024.jpg 812w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-5-65x82.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-5-225x284.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-5-350x441.jpg 350w\" sizes=\"auto, (max-width: 1425px) 100vw, 1425px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-53\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-6.jpg\" alt=\"\" width=\"1173\" height=\"457\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-6.jpg 1173w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-6-300x117.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-6-768x299.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-6-1024x399.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-6-65x25.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-6-225x88.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684586MultivariateNormalDistributionandRelatedInference_1-6-350x136.jpg 350w\" sizes=\"auto, (max-width: 1173px) 100vw, 1173px\" \/><\/p>\n<p>&nbsp;<\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Multivariate Normal Distribution and Related Inference: I<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/0zlcvETZVHw\" 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><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-55\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684899MultivariateNormalDistributionandRelatedInference_1_Ref-09.jpg\" alt=\"\" width=\"947\" height=\"378\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684899MultivariateNormalDistributionandRelatedInference_1_Ref-09.jpg 947w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684899MultivariateNormalDistributionandRelatedInference_1_Ref-09-300x120.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684899MultivariateNormalDistributionandRelatedInference_1_Ref-09-768x307.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684899MultivariateNormalDistributionandRelatedInference_1_Ref-09-65x26.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684899MultivariateNormalDistributionandRelatedInference_1_Ref-09-225x90.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684899MultivariateNormalDistributionandRelatedInference_1_Ref-09-350x140.jpg 350w\" sizes=\"auto, (max-width: 947px) 100vw, 947px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-56\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684899MultivariateNormalDistributionandRelatedInference_1_Ref-13.jpg\" alt=\"\" width=\"950\" height=\"362\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684899MultivariateNormalDistributionandRelatedInference_1_Ref-13.jpg 950w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684899MultivariateNormalDistributionandRelatedInference_1_Ref-13-300x114.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684899MultivariateNormalDistributionandRelatedInference_1_Ref-13-768x293.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684899MultivariateNormalDistributionandRelatedInference_1_Ref-13-65x25.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684899MultivariateNormalDistributionandRelatedInference_1_Ref-13-225x86.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525684899MultivariateNormalDistributionandRelatedInference_1_Ref-13-350x133.jpg 350w\" sizes=\"auto, (max-width: 950px) 100vw, 950px\" 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