{"id":1052,"date":"2019-01-08T05:41:43","date_gmt":"2019-01-08T05:41:43","guid":{"rendered":"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=1052"},"modified":"2019-01-08T05:41:43","modified_gmt":"2019-01-08T05:41:43","slug":"some-asymptotically-equivalent-tests","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/chapter\/some-asymptotically-equivalent-tests\/","title":{"rendered":"Some Asymptotically Equivalent Tests"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/74IfaaXUbAo\" 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-1053\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_02.jpg\" alt=\"\" width=\"1512\" height=\"1036\" \/> <img class=\"aligncenter size-full wp-image-1054\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_03.jpg\" alt=\"\" width=\"1511\" height=\"641\" \/> <img class=\"aligncenter size-full wp-image-1055\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_04.jpg\" alt=\"\" width=\"1511\" height=\"509\" \/> <img class=\"aligncenter size-full wp-image-1056\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_05.jpg\" alt=\"\" width=\"1509\" height=\"461\" \/> <img class=\"aligncenter size-full wp-image-1057\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_06.jpg\" alt=\"\" width=\"1509\" height=\"891\" \/> <img class=\"aligncenter size-full wp-image-1058\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_07.jpg\" alt=\"\" width=\"1511\" height=\"619\" \/> <img class=\"aligncenter size-full wp-image-1059\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_08.jpg\" alt=\"\" width=\"1509\" height=\"815\" \/> <img class=\"aligncenter size-full wp-image-1060\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_09.jpg\" alt=\"\" width=\"1511\" height=\"563\" \/> <img class=\"aligncenter size-full wp-image-1061\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_10.jpg\" alt=\"\" width=\"1507\" height=\"899\" \/> <img class=\"aligncenter size-full wp-image-1062\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_11.jpg\" alt=\"\" width=\"1509\" height=\"833\" \/> <img class=\"aligncenter size-full wp-image-1063\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_12.jpg\" alt=\"\" width=\"1509\" height=\"605\" \/> <img class=\"aligncenter size-full wp-image-1064\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_13.jpg\" alt=\"\" width=\"1507\" height=\"859\" \/> <img class=\"aligncenter size-full wp-image-1065\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_14.jpg\" alt=\"\" width=\"1511\" height=\"691\" \/> <img class=\"aligncenter size-full wp-image-1066\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_15.jpg\" alt=\"\" width=\"1509\" height=\"499\" \/> <img class=\"aligncenter size-full wp-image-1067\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_16.jpg\" alt=\"\" width=\"1509\" height=\"445\" \/> <img class=\"aligncenter size-full wp-image-1068\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_17.jpg\" alt=\"\" width=\"1511\" height=\"485\" \/> <img class=\"aligncenter size-full wp-image-1069\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_18.jpg\" alt=\"\" width=\"1509\" height=\"719\" \/> <img class=\"aligncenter size-full wp-image-1070\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_19.jpg\" alt=\"\" width=\"1511\" height=\"895\" \/> <img class=\"aligncenter size-full wp-image-1071\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_20.jpg\" alt=\"\" width=\"1509\" height=\"875\" \/> <img class=\"aligncenter size-full wp-image-1072\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_21.jpg\" alt=\"\" width=\"1511\" height=\"827\" \/> <img class=\"aligncenter size-full wp-image-1073\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_22.jpg\" alt=\"\" width=\"1511\" height=\"975\" \/> <img class=\"aligncenter size-full wp-image-1074\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_23.jpg\" alt=\"\" width=\"1509\" height=\"531\" \/> <img class=\"aligncenter size-full wp-image-1075\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_24.jpg\" alt=\"\" width=\"1509\" height=\"953\" \/> <img class=\"aligncenter size-full wp-image-1076\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_25.jpg\" alt=\"\" width=\"1509\" height=\"871\" \/> <img class=\"aligncenter size-full wp-image-1077\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_26.jpg\" alt=\"\" width=\"1509\" height=\"431\" \/> <img class=\"aligncenter size-full wp-image-1078\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_27.jpg\" alt=\"\" width=\"1509\" height=\"963\" \/> <img class=\"aligncenter size-full wp-image-1079\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_28.jpg\" alt=\"\" width=\"1511\" height=\"753\" \/> <img class=\"aligncenter size-full wp-image-1080\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_29.jpg\" alt=\"\" width=\"1511\" height=\"801\" \/>\r\n<table width=\"700\">\r\n<tbody>\r\n<tr>\r\n<td><strong>You can view video on Some Asymptotically Equivalent Tests<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/74IfaaXUbAo\"><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&nbsp;\r\n\r\n<strong>References:<\/strong>\r\n<ol>\r\n \t<li style=\"text-align: justify\">Statistical Inference,Second Edition: Casella, G. and Berger, R. L.<\/li>\r\n \t<li style=\"text-align: justify\">A First Course on Parametric Inference : Kale, B. K.<\/li>\r\n \t<li style=\"text-align: justify\">Asymptotic Theory of Statistics and Probability : Anirban Dasgupta<\/li>\r\n \t<li style=\"text-align: justify\">Linear statistical inference and its applications : Rao, C. R.<\/li>\r\n<\/ol>","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/74IfaaXUbAo\" 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-1053\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_02.jpg\" alt=\"\" width=\"1512\" height=\"1036\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_02.jpg 1512w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_02-300x206.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_02-768x526.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_02-1024x702.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_02-65x45.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_02-225x154.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_02-350x240.jpg 350w\" sizes=\"auto, (max-width: 1512px) 100vw, 1512px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1054\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_03.jpg\" alt=\"\" width=\"1511\" height=\"641\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_03.jpg 1511w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_03-300x127.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_03-768x326.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_03-1024x434.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_03-65x28.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_03-225x95.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_03-350x148.jpg 350w\" sizes=\"auto, (max-width: 1511px) 100vw, 1511px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1055\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_04.jpg\" alt=\"\" width=\"1511\" height=\"509\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_04.jpg 1511w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_04-300x101.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_04-768x259.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_04-1024x345.jpg 1024w, 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sizes=\"auto, (max-width: 1509px) 100vw, 1509px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1060\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_09.jpg\" alt=\"\" width=\"1511\" height=\"563\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_09.jpg 1511w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_09-300x112.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_09-768x286.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_09-1024x382.jpg 1024w, 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height=\"753\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_28.jpg 1511w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_28-300x150.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_28-768x383.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_28-1024x510.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_28-65x32.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_28-225x112.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_28-350x174.jpg 350w\" sizes=\"auto, (max-width: 1511px) 100vw, 1511px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1080\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_29.jpg\" alt=\"\" width=\"1511\" height=\"801\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_29.jpg 1511w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_29-300x159.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_29-768x407.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_29-1024x543.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_29-65x34.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_29-225x119.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1465557468Module14Quadrant1_Page_29-350x186.jpg 350w\" sizes=\"auto, (max-width: 1511px) 100vw, 1511px\" \/><\/p>\n<table style=\"width: 700px;\">\n<tbody>\n<tr>\n<td><strong>You can view video on Some Asymptotically Equivalent Tests<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/74IfaaXUbAo\"><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>&nbsp;<\/p>\n<p><strong>References:<\/strong><\/p>\n<ol>\n<li style=\"text-align: justify\">Statistical Inference,Second Edition: Casella, G. and Berger, R. L.<\/li>\n<li style=\"text-align: justify\">A First Course on Parametric Inference : Kale, B. K.<\/li>\n<li style=\"text-align: justify\">Asymptotic Theory of Statistics and Probability : Anirban Dasgupta<\/li>\n<li style=\"text-align: justify\">Linear statistical inference and its applications : Rao, C. R.<\/li>\n<\/ol>\n","protected":false},"author":4,"menu_order":34,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["saurav-de"],"pb_section_license":""},"chapter-type":[],"contributor":[59],"license":[],"class_list":["post-1052","chapter","type-chapter","status-publish","hentry","contributor-saurav-de"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapters\/1052","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/users\/4"}],"version-history":[{"count":1,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapters\/1052\/revisions"}],"predecessor-version":[{"id":1081,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapters\/1052\/revisions\/1081"}],"part":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapters\/1052\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/media?parent=1052"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapter-type?post=1052"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/contributor?post=1052"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/license?post=1052"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}