{"id":582,"date":"2017-09-28T04:22:09","date_gmt":"2017-09-28T04:22:09","guid":{"rendered":"http:\/\/jsr.isrt.ac.bd\/?post_type=article&#038;p=582"},"modified":"2017-09-28T04:22:19","modified_gmt":"2017-09-28T04:22:19","slug":"shrinkage-testimation-variance-normal-distribution-asymmetric-loss-function","status":"publish","type":"article","link":"http:\/\/jsr.isrt.ac.bd\/article\/shrinkage-testimation-variance-normal-distribution-asymmetric-loss-function\/","title":{"rendered":"Shrinkage testimation for the variance of a normal distribution under asymmetric loss function"},"content":{"rendered":"<p>In present paper, some shrinkage testimators for the variance of a Normal distribution<br \/>\nhave been suggested under the invariant form of the LINEX loss function<br \/>\nassuming initiate estimate of <img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/jsr.isrt.ac.bd\/wp-content\/ql-cache\/quicklatex.com-9847422e937edf5c451ab3d602028094_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#115;&#105;&#103;&#109;&#97;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"18\" style=\"vertical-align: 0px;\"\/> is available in the form of a point estimate <img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/jsr.isrt.ac.bd\/wp-content\/ql-cache\/quicklatex.com-2b8d82fc5868f3e394f4c8d72ac66ce8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#115;&#105;&#103;&#109;&#97;&#94;&#50;&#95;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"18\" style=\"vertical-align: -5px;\"\/>.<br \/>\nThe comparisons of the proposed testimators have been made with the improved<br \/>\nestimator under the squared error loss and the LINEX loss criteria.<\/p>\n<p><a href=\"http:\/\/jsr.isrt.ac.bd\/wp-content\/uploads\/41n1_2.pdf\">Fulltext<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In present paper, some shrinkage testimators for the variance of a Normal distribution have been suggested under the invariant form of the LINEX loss function assuming initiate estimate of is available in the form of a point estimate . The comparisons of the proposed testimators have been made with the improved estimator under the squared [&hellip;]<\/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":[18],"issuem_issue_categories":[],"issuem_issue_tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Shrinkage testimation for the variance of a normal distribution under asymmetric loss function - 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\/shrinkage-testimation-variance-normal-distribution-asymmetric-loss-function\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Shrinkage testimation for the variance of a normal distribution under asymmetric loss function - JSR\" \/>\n<meta property=\"og:description\" content=\"In present paper, some shrinkage testimators for the variance of a Normal distribution have been suggested under the invariant form of the LINEX loss function assuming initiate estimate of is available in the form of a point estimate . The comparisons of the proposed testimators have been made with the improved estimator under the squared [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/jsr.isrt.ac.bd\/article\/shrinkage-testimation-variance-normal-distribution-asymmetric-loss-function\/\" \/>\n<meta property=\"og:site_name\" content=\"JSR\" \/>\n<meta property=\"article:modified_time\" content=\"2017-09-28T04:22:19+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\/shrinkage-testimation-variance-normal-distribution-asymmetric-loss-function\/\",\"url\":\"https:\/\/jsr.isrt.ac.bd\/article\/shrinkage-testimation-variance-normal-distribution-asymmetric-loss-function\/\",\"name\":\"Shrinkage testimation for the variance of a normal distribution under asymmetric loss function - JSR\",\"isPartOf\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/#website\"},\"datePublished\":\"2017-09-28T04:22:09+00:00\",\"dateModified\":\"2017-09-28T04:22:19+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/shrinkage-testimation-variance-normal-distribution-asymmetric-loss-function\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/jsr.isrt.ac.bd\/article\/shrinkage-testimation-variance-normal-distribution-asymmetric-loss-function\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/shrinkage-testimation-variance-normal-distribution-asymmetric-loss-function\/#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\":\"Shrinkage testimation for the variance of a normal distribution under asymmetric loss function\"}]},{\"@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":"Shrinkage testimation for the variance of a normal distribution under asymmetric loss function - 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\/shrinkage-testimation-variance-normal-distribution-asymmetric-loss-function\/","og_locale":"en_US","og_type":"article","og_title":"Shrinkage testimation for the variance of a normal distribution under asymmetric loss function - JSR","og_description":"In present paper, some shrinkage testimators for the variance of a Normal distribution have been suggested under the invariant form of the LINEX loss function assuming initiate estimate of is available in the form of a point estimate . 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