{"id":254,"date":"2018-12-20T11:38:16","date_gmt":"2018-12-20T11:38:16","guid":{"rendered":"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=254"},"modified":"2018-12-20T12:11:12","modified_gmt":"2018-12-20T12:11:12","slug":"central-limit-theorems-iii","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/chapter\/central-limit-theorems-iii\/","title":{"rendered":"Central Limit Theorems III"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/hekM-O53kTc\" 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<img class=\"aligncenter size-full wp-image-255\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-1.jpg\" alt=\"\" width=\"1355\" height=\"1399\" \/> <img class=\"aligncenter size-full wp-image-256\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-2.jpg\" alt=\"\" width=\"1373\" height=\"1569\" \/> <img class=\"aligncenter size-full wp-image-257\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-3.jpg\" alt=\"\" width=\"1327\" height=\"1627\" \/> <img class=\"aligncenter size-full wp-image-258\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-4.jpg\" alt=\"\" width=\"963\" height=\"371\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Central Limit Theorems III<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/hekM-O53kTc\" 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-262\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238691CentralLimitTheorems-3_Ref-1.jpg\" alt=\"\" width=\"1201\" height=\"741\" \/>","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/hekM-O53kTc\" 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><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-255\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-1.jpg\" alt=\"\" width=\"1355\" height=\"1399\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-1.jpg 1355w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-1-291x300.jpg 291w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-1-768x793.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-1-992x1024.jpg 992w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-1-65x67.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-1-225x232.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-1-350x361.jpg 350w\" sizes=\"auto, (max-width: 1355px) 100vw, 1355px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-256\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-2.jpg\" alt=\"\" width=\"1373\" height=\"1569\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-2.jpg 1373w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-2-263x300.jpg 263w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-2-768x878.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-2-896x1024.jpg 896w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-2-65x74.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-2-225x257.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-2-350x400.jpg 350w\" sizes=\"auto, (max-width: 1373px) 100vw, 1373px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-257\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-3.jpg\" alt=\"\" width=\"1327\" height=\"1627\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-3.jpg 1327w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-3-245x300.jpg 245w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-3-768x942.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-3-835x1024.jpg 835w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-3-65x80.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-3-225x276.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-3-350x429.jpg 350w\" sizes=\"auto, (max-width: 1327px) 100vw, 1327px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-258\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-4.jpg\" alt=\"\" width=\"963\" height=\"371\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-4.jpg 963w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-4-300x116.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-4-768x296.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-4-65x25.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-4-225x87.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238685CentralLimitTheorems-3-4-350x135.jpg 350w\" sizes=\"auto, (max-width: 963px) 100vw, 963px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Central Limit Theorems III<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/hekM-O53kTc\" 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-262\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238691CentralLimitTheorems-3_Ref-1.jpg\" alt=\"\" width=\"1201\" height=\"741\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238691CentralLimitTheorems-3_Ref-1.jpg 1201w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238691CentralLimitTheorems-3_Ref-1-300x185.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238691CentralLimitTheorems-3_Ref-1-768x474.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238691CentralLimitTheorems-3_Ref-1-1024x632.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238691CentralLimitTheorems-3_Ref-1-65x40.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238691CentralLimitTheorems-3_Ref-1-225x139.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522238691CentralLimitTheorems-3_Ref-1-350x216.jpg 350w\" sizes=\"auto, (max-width: 1201px) 100vw, 1201px\" 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