{"id":476,"date":"2017-09-24T05:03:19","date_gmt":"2017-09-24T05:03:19","guid":{"rendered":"http:\/\/jsr.isrt.ac.bd\/?post_type=article&p=476"},"modified":"2017-09-24T05:03:32","modified_gmt":"2017-09-24T05:03:32","slug":"r-linear-r","status":"publish","type":"article","link":"http:\/\/jsr.isrt.ac.bd\/article\/r-linear-r\/","title":{"rendered":"Is \"r^{*}\" linear in \"r\"?"},"content":{"rendered":"

The quantity \"r^{*}(\psi ; y)\" was introduced by Barndorff-Nielsen, in part as a distributional
\nrefi\fnement of the signed likelihood root \"r(\psi ; y)\", a refi\fnement that can
\nalso be approximated by a mean and standard deviation adjustment of the root
\n\"r(\psi ; y)\". We clarify: that \"r^{*}\" is not linear in \"r\"; that \"r^{*}\" achieves large distributional
\nimprovement on \"r(\psi ; y)\"; and that \"r^{*}\" provides the de\ffinitive separation of inference
\ninformation concerning scalar component parameters of a statistical model.
\nThese distributional and inference properties deserve broader awareness.<\/p>\n

Fulltext<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

The quantity was introduced by Barndorff-Nielsen, in part as a distributional refi\fnement of the signed likelihood root , a refi\fnement that can also be approximated by a mean and standard deviation adjustment of the root . We clarify: that is not linear in ; that achieves large distributional improvement on ; and that provides the […]<\/p>\n","protected":false},"author":2,"featured_media":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","format":"standard","meta":{"_mi_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"issuem_issue":[15],"issuem_issue_categories":[],"issuem_issue_tags":[],"class_list":["post-476","article","type-article","status-publish","format-standard","hentry","issuem_issue-v42n2"],"yoast_head":"\nIs $r^{*}$ linear in $r$? - JSR<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/jsr.isrt.ac.bd\/article\/r-linear-r\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Is $r^{*}$ linear in $r$? - JSR\" \/>\n<meta property=\"og:description\" content=\"The quantity was introduced by Barndorff-Nielsen, in part as a distributional refi nement of the signed likelihood root , a refi nement that can also be approximated by a mean and standard deviation adjustment of the root . We clarify: that is not linear in ; that achieves large distributional improvement on ; and that provides the […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/jsr.isrt.ac.bd\/article\/r-linear-r\/\" \/>\n<meta property=\"og:site_name\" content=\"JSR\" \/>\n<meta property=\"article:modified_time\" content=\"2017-09-24T05:03:32+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/r-linear-r\/\",\"url\":\"https:\/\/jsr.isrt.ac.bd\/article\/r-linear-r\/\",\"name\":\"Is $r^{*}$ linear in $r$? - JSR\",\"isPartOf\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/#website\"},\"datePublished\":\"2017-09-24T05:03:19+00:00\",\"dateModified\":\"2017-09-24T05:03:32+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/r-linear-r\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/jsr.isrt.ac.bd\/article\/r-linear-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/r-linear-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/jsr.isrt.ac.bd\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Articles\",\"item\":\"https:\/\/jsr.isrt.ac.bd\/article\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Is linear in ?\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/jsr.isrt.ac.bd\/#website\",\"url\":\"https:\/\/jsr.isrt.ac.bd\/\",\"name\":\"JSR\",\"description\":\"Journal of Statistical Research\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/jsr.isrt.ac.bd\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Is $r^{*}$ linear in $r$? - JSR","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/jsr.isrt.ac.bd\/article\/r-linear-r\/","og_locale":"en_US","og_type":"article","og_title":"Is $r^{*}$ linear in $r$? - JSR","og_description":"The quantity was introduced by Barndorff-Nielsen, in part as a distributional refi nement of the signed likelihood root , a refi nement that can also be approximated by a mean and standard deviation adjustment of the root . We clarify: that is not linear in ; that achieves large distributional improvement on ; and that provides the […]","og_url":"https:\/\/jsr.isrt.ac.bd\/article\/r-linear-r\/","og_site_name":"JSR","article_modified_time":"2017-09-24T05:03:32+00:00","twitter_card":"summary_large_image","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/jsr.isrt.ac.bd\/article\/r-linear-r\/","url":"https:\/\/jsr.isrt.ac.bd\/article\/r-linear-r\/","name":"Is $r^{*}$ linear in $r$? - JSR","isPartOf":{"@id":"https:\/\/jsr.isrt.ac.bd\/#website"},"datePublished":"2017-09-24T05:03:19+00:00","dateModified":"2017-09-24T05:03:32+00:00","breadcrumb":{"@id":"https:\/\/jsr.isrt.ac.bd\/article\/r-linear-r\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/jsr.isrt.ac.bd\/article\/r-linear-r\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/jsr.isrt.ac.bd\/article\/r-linear-r\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/jsr.isrt.ac.bd\/"},{"@type":"ListItem","position":2,"name":"Articles","item":"https:\/\/jsr.isrt.ac.bd\/article\/"},{"@type":"ListItem","position":3,"name":"Is linear in ?"}]},{"@type":"WebSite","@id":"https:\/\/jsr.isrt.ac.bd\/#website","url":"https:\/\/jsr.isrt.ac.bd\/","name":"JSR","description":"Journal of Statistical Research","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/jsr.isrt.ac.bd\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"}]}},"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/article\/476","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/article"}],"about":[{"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/types\/article"}],"author":[{"embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/comments?post=476"}],"version-history":[{"count":0,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/article\/476\/revisions"}],"wp:attachment":[{"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/media?parent=476"}],"wp:term":[{"taxonomy":"issuem_issue","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue?post=476"},{"taxonomy":"issuem_issue_categories","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue_categories?post=476"},{"taxonomy":"issuem_issue_tags","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue_tags?post=476"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}