{"id":542,"date":"2017-09-24T08:15:18","date_gmt":"2017-09-24T08:15:18","guid":{"rendered":"http:\/\/jsr.isrt.ac.bd\/?post_type=article&p=542"},"modified":"2017-09-24T08:17:46","modified_gmt":"2017-09-24T08:17:46","slug":"note-double-k-class-estimators-elliptical-symmetry","status":"publish","type":"article","link":"http:\/\/jsr.isrt.ac.bd\/article\/note-double-k-class-estimators-elliptical-symmetry\/","title":{"rendered":"A note on double k-class estimators under elliptical symmetry"},"content":{"rendered":"

In this paper, estimation of the regression vector parameter in the multiple regression
\nmodel \"y = \bm{X}\beta\f +\epsilon\" is considered, when the error term belongs to the
\nclass of elliptically contoured distributions (ECD), say, \"\epsilon\sim EC_n(0, \sigma^2\bm{V}, \psi)\",
\nwhere \"\sigma^2\" is unknown and \"\bm{V}\" is a symmetric p.d known matrix with the characteristic
\ngenerator \"\psi\". It is well-known that UMVU estimator of \f \"\beta\" has the
\nform\"(\bm{X}^'\bm{V}^{-}\bm{X})^{-1}\bm{X} \bm{V}^{-1}y\". In this paper using integral series representation of ECDs, the dominance conditions of double k-class estimators given by<\/p>\n

  <\/span>   <\/span>\"\begin{align*}<\/p>\n

over UMVUE, have been derived under weighted quadratic loss function.<\/p>\n

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

In this paper, estimation of the regression vector parameter in the multiple regression model is considered, when the error term belongs to the class of elliptically contoured distributions (ECD), say, , where is unknown and is a symmetric p.d known matrix with the characteristic generator . It is well-known that UMVU estimator of \f has […]<\/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":[16],"issuem_issue_categories":[],"issuem_issue_tags":[],"yoast_head":"\nA note on double k-class estimators under elliptical symmetry - 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\/note-double-k-class-estimators-elliptical-symmetry\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A note on double k-class estimators under elliptical symmetry - JSR\" \/>\n<meta property=\"og:description\" content=\"In this paper, estimation of the regression vector parameter in the multiple regression model is considered, when the error term belongs to the class of elliptically contoured distributions (ECD), say, , where is unknown and is a symmetric p.d known matrix with the characteristic generator . It is well-known that UMVU estimator of has […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/jsr.isrt.ac.bd\/article\/note-double-k-class-estimators-elliptical-symmetry\/\" \/>\n<meta property=\"og:site_name\" content=\"JSR\" \/>\n<meta property=\"article:modified_time\" content=\"2017-09-24T08:17:46+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/note-double-k-class-estimators-elliptical-symmetry\/\",\"url\":\"https:\/\/jsr.isrt.ac.bd\/article\/note-double-k-class-estimators-elliptical-symmetry\/\",\"name\":\"A note on double k-class estimators under elliptical symmetry - JSR\",\"isPartOf\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/#website\"},\"datePublished\":\"2017-09-24T08:15:18+00:00\",\"dateModified\":\"2017-09-24T08:17:46+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/note-double-k-class-estimators-elliptical-symmetry\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/jsr.isrt.ac.bd\/article\/note-double-k-class-estimators-elliptical-symmetry\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/note-double-k-class-estimators-elliptical-symmetry\/#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\":\"A note on double k-class estimators under elliptical symmetry\"}]},{\"@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":"A note on double k-class estimators under elliptical symmetry - 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\/note-double-k-class-estimators-elliptical-symmetry\/","og_locale":"en_US","og_type":"article","og_title":"A note on double k-class estimators under elliptical symmetry - JSR","og_description":"In this paper, estimation of the regression vector parameter in the multiple regression model is considered, when the error term belongs to the class of elliptically contoured distributions (ECD), say, , where is unknown and is a symmetric p.d known matrix with the characteristic generator . It is well-known that UMVU estimator of has […]","og_url":"https:\/\/jsr.isrt.ac.bd\/article\/note-double-k-class-estimators-elliptical-symmetry\/","og_site_name":"JSR","article_modified_time":"2017-09-24T08:17:46+00:00","twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/jsr.isrt.ac.bd\/article\/note-double-k-class-estimators-elliptical-symmetry\/","url":"https:\/\/jsr.isrt.ac.bd\/article\/note-double-k-class-estimators-elliptical-symmetry\/","name":"A note on double k-class estimators under elliptical symmetry - JSR","isPartOf":{"@id":"https:\/\/jsr.isrt.ac.bd\/#website"},"datePublished":"2017-09-24T08:15:18+00:00","dateModified":"2017-09-24T08:17:46+00:00","breadcrumb":{"@id":"https:\/\/jsr.isrt.ac.bd\/article\/note-double-k-class-estimators-elliptical-symmetry\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/jsr.isrt.ac.bd\/article\/note-double-k-class-estimators-elliptical-symmetry\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/jsr.isrt.ac.bd\/article\/note-double-k-class-estimators-elliptical-symmetry\/#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":"A note on double k-class estimators under elliptical symmetry"}]},{"@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\/542"}],"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=542"}],"version-history":[{"count":0,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/article\/542\/revisions"}],"wp:attachment":[{"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/media?parent=542"}],"wp:term":[{"taxonomy":"issuem_issue","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue?post=542"},{"taxonomy":"issuem_issue_categories","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue_categories?post=542"},{"taxonomy":"issuem_issue_tags","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue_tags?post=542"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}