{"id":171,"date":"2018-12-20T10:28:04","date_gmt":"2018-12-20T10:28:04","guid":{"rendered":"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=171"},"modified":"2018-12-20T10:49:07","modified_gmt":"2018-12-20T10:49:07","slug":"kolmogorovs-maximal-inequality","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/chapter\/kolmogorovs-maximal-inequality\/","title":{"rendered":"Kolmogorov\u2019s Maximal Inequality"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/o_9kaw5ZYYs\" 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-173\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-1.jpg\" alt=\"\" width=\"1271\" height=\"1397\" \/> <img class=\"aligncenter size-full wp-image-174\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-2.jpg\" alt=\"\" width=\"1233\" height=\"1625\" \/> <img class=\"aligncenter size-full wp-image-175\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-3.jpg\" alt=\"\" width=\"1269\" height=\"1613\" \/> <img class=\"aligncenter size-full wp-image-176\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-4.jpg\" alt=\"\" width=\"1281\" height=\"1597\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Kolmogorov's Maximal Inequality<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/o_9kaw5ZYYs\" 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-179\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235590KolmogorovsMaximalInequality_Ref-1.jpg\" alt=\"\" width=\"1193\" height=\"749\" \/>","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/o_9kaw5ZYYs\" 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-173\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-1.jpg\" alt=\"\" width=\"1271\" height=\"1397\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-1.jpg 1271w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-1-273x300.jpg 273w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-1-768x844.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-1-932x1024.jpg 932w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-1-65x71.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-1-225x247.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-1-350x385.jpg 350w\" sizes=\"auto, (max-width: 1271px) 100vw, 1271px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-174\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-2.jpg\" alt=\"\" width=\"1233\" height=\"1625\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-2.jpg 1233w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-2-228x300.jpg 228w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-2-768x1012.jpg 768w, 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srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-3.jpg 1269w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-3-236x300.jpg 236w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-3-768x976.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-3-806x1024.jpg 806w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-3-65x83.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-3-225x286.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-3-350x445.jpg 350w\" sizes=\"auto, (max-width: 1269px) 100vw, 1269px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-176\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-4.jpg\" alt=\"\" width=\"1281\" height=\"1597\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-4.jpg 1281w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-4-241x300.jpg 241w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-4-768x957.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-4-821x1024.jpg 821w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-4-65x81.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-4-225x281.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235583KolmogorovsMaximalInequality-4-350x436.jpg 350w\" sizes=\"auto, (max-width: 1281px) 100vw, 1281px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Kolmogorov&#8217;s Maximal Inequality<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/o_9kaw5ZYYs\" 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-179\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235590KolmogorovsMaximalInequality_Ref-1.jpg\" alt=\"\" width=\"1193\" height=\"749\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235590KolmogorovsMaximalInequality_Ref-1.jpg 1193w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235590KolmogorovsMaximalInequality_Ref-1-300x188.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235590KolmogorovsMaximalInequality_Ref-1-768x482.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235590KolmogorovsMaximalInequality_Ref-1-1024x643.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235590KolmogorovsMaximalInequality_Ref-1-65x41.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235590KolmogorovsMaximalInequality_Ref-1-225x141.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235590KolmogorovsMaximalInequality_Ref-1-350x220.jpg 350w\" sizes=\"auto, (max-width: 1193px) 100vw, 1193px\" 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