{"id":192,"date":"2018-12-20T10:55:38","date_gmt":"2018-12-20T10:55:38","guid":{"rendered":"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=192"},"modified":"2018-12-20T11:01:15","modified_gmt":"2018-12-20T11:01:15","slug":"kolmogorovs-slln","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/chapter\/kolmogorovs-slln\/","title":{"rendered":"Kolmogorov\u2019s SLLN"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/0RqUfVK_qMI\" 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-194\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-1.jpg\" alt=\"\" width=\"1239\" height=\"1407\" \/> <img class=\"aligncenter size-full wp-image-195\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-2.jpg\" alt=\"\" width=\"1277\" height=\"1575\" \/> <img class=\"aligncenter size-full wp-image-196\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-3.jpg\" alt=\"\" width=\"1287\" height=\"1269\" \/> <img class=\"aligncenter size-full wp-image-197\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-4.jpg\" alt=\"\" width=\"1159\" height=\"763\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Kolmogorov's SLLN<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/0RqUfVK_qMI\" 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-200\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235913KolmogorovsSLLN_Ref-1.jpg\" alt=\"\" width=\"1187\" height=\"745\" \/>","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/0RqUfVK_qMI\" 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-194\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-1.jpg\" alt=\"\" width=\"1239\" height=\"1407\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-1.jpg 1239w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-1-264x300.jpg 264w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-1-768x872.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-1-902x1024.jpg 902w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-1-65x74.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-1-225x256.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-1-350x397.jpg 350w\" sizes=\"auto, (max-width: 1239px) 100vw, 1239px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-195\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-2.jpg\" alt=\"\" width=\"1277\" height=\"1575\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-2.jpg 1277w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-2-243x300.jpg 243w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-2-768x947.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-2-830x1024.jpg 830w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-2-65x80.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-2-225x278.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-2-350x432.jpg 350w\" sizes=\"auto, (max-width: 1277px) 100vw, 1277px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-196\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-3.jpg\" alt=\"\" width=\"1287\" height=\"1269\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-3.jpg 1287w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-3-300x296.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-3-768x757.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-3-1024x1010.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-3-65x64.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-3-225x222.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-3-350x345.jpg 350w\" sizes=\"auto, (max-width: 1287px) 100vw, 1287px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-197\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-4.jpg\" alt=\"\" width=\"1159\" height=\"763\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-4.jpg 1159w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-4-300x197.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-4-768x506.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-4-1024x674.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-4-65x43.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-4-225x148.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235902KolmogorovsSLLN-4-350x230.jpg 350w\" sizes=\"auto, (max-width: 1159px) 100vw, 1159px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Kolmogorov&#8217;s SLLN<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/0RqUfVK_qMI\" 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-200\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235913KolmogorovsSLLN_Ref-1.jpg\" alt=\"\" width=\"1187\" height=\"745\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235913KolmogorovsSLLN_Ref-1.jpg 1187w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235913KolmogorovsSLLN_Ref-1-300x188.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235913KolmogorovsSLLN_Ref-1-768x482.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235913KolmogorovsSLLN_Ref-1-1024x643.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235913KolmogorovsSLLN_Ref-1-65x41.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235913KolmogorovsSLLN_Ref-1-225x141.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235913KolmogorovsSLLN_Ref-1-350x220.jpg 350w\" sizes=\"auto, (max-width: 1187px) 100vw, 1187px\" \/><\/p>\n","protected":false},"author":3,"menu_order":14,"template":"","meta":{"_acf_changed":false,"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-192","chapter","type-chapter","status-publish","hentry"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/pressbooks\/v2\/chapters\/192","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/wp\/v2\/users\/3"}],"version-history":[{"count":4,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/pressbooks\/v2\/chapters\/192\/revisions"}],"predecessor-version":[{"id":201,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/pressbooks\/v2\/chapters\/192\/revisions\/201"}],"part":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/pressbooks\/v2\/chapters\/192\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/wp\/v2\/media?parent=192"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/pressbooks\/v2\/chapter-type?post=192"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/wp\/v2\/contributor?post=192"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/wp\/v2\/license?post=192"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}