{"id":202,"date":"2018-12-20T11:01:42","date_gmt":"2018-12-20T11:01:42","guid":{"rendered":"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=202"},"modified":"2018-12-20T11:12:00","modified_gmt":"2018-12-20T11:12:00","slug":"uniform-integrability","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/chapter\/uniform-integrability\/","title":{"rendered":"Uniform Integrability"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/17o0GTsmiRc\" 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-204\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-1.jpg\" alt=\"\" width=\"1283\" height=\"1273\" \/> <img class=\"aligncenter size-full wp-image-205\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-2.jpg\" alt=\"\" width=\"1313\" height=\"1587\" \/> <img class=\"aligncenter size-full wp-image-206\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-3.jpg\" alt=\"\" width=\"1307\" height=\"1585\" \/> <img class=\"aligncenter size-full wp-image-207\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-4.jpg\" alt=\"\" width=\"1265\" height=\"743\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Uniform Integrability<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/17o0GTsmiRc\" 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-210\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236030UniformIntegrability_Ref-1.jpg\" alt=\"\" width=\"1169\" height=\"757\" \/>","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/17o0GTsmiRc\" 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-204\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-1.jpg\" alt=\"\" width=\"1283\" height=\"1273\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-1.jpg 1283w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-1-150x150.jpg 150w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-1-300x298.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-1-768x762.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-1-1024x1016.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-1-65x64.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-1-225x223.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-1-350x347.jpg 350w\" sizes=\"auto, (max-width: 1283px) 100vw, 1283px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-205\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-2.jpg\" alt=\"\" width=\"1313\" height=\"1587\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-2.jpg 1313w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-2-248x300.jpg 248w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-2-768x928.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-2-847x1024.jpg 847w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-2-65x79.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-2-225x272.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-2-350x423.jpg 350w\" sizes=\"auto, (max-width: 1313px) 100vw, 1313px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-206\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-3.jpg\" alt=\"\" width=\"1307\" height=\"1585\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-3.jpg 1307w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-3-247x300.jpg 247w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-3-768x931.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-3-844x1024.jpg 844w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-3-65x79.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-3-225x273.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-3-350x424.jpg 350w\" sizes=\"auto, (max-width: 1307px) 100vw, 1307px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-207\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-4.jpg\" alt=\"\" width=\"1265\" height=\"743\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-4.jpg 1265w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-4-300x176.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-4-768x451.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-4-1024x601.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-4-65x38.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-4-225x132.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235996UniformIntegrability-4-350x206.jpg 350w\" sizes=\"auto, (max-width: 1265px) 100vw, 1265px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Uniform Integrability<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/17o0GTsmiRc\" 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-210\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236030UniformIntegrability_Ref-1.jpg\" alt=\"\" width=\"1169\" height=\"757\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236030UniformIntegrability_Ref-1.jpg 1169w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236030UniformIntegrability_Ref-1-300x194.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236030UniformIntegrability_Ref-1-768x497.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236030UniformIntegrability_Ref-1-1024x663.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236030UniformIntegrability_Ref-1-65x42.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236030UniformIntegrability_Ref-1-225x146.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236030UniformIntegrability_Ref-1-350x227.jpg 350w\" sizes=\"auto, (max-width: 1169px) 100vw, 1169px\" 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