{"id":620,"date":"2017-09-28T05:25:28","date_gmt":"2017-09-28T05:25:28","guid":{"rendered":"http:\/\/jsr.isrt.ac.bd\/?post_type=article&p=620"},"modified":"2017-09-28T05:58:03","modified_gmt":"2017-09-28T05:58:03","slug":"edgeworth-size-corrected-w-lr-lm-tests-formation-preliminary-test-estimator","status":"publish","type":"article","link":"http:\/\/jsr.isrt.ac.bd\/article\/edgeworth-size-corrected-w-lr-lm-tests-formation-preliminary-test-estimator\/","title":{"rendered":"Edgeworth size corrected W, LR and LM tests in the formation of the preliminary test estimator"},"content":{"rendered":"

This paper defines the preliminary test estimator (PTE) of the univariate normal
\nmean under the original as well as the Edgeworth size corrected Wald (W), likelihood
\nratio (LR) and Lagrange multiplier (LM) tests. The bias and mean squared
\nerror (MSE) functions of the estimators are derived. The conflicts among the
\nbiases and the MSEs of the PTEs under the three original and the size corrected
\ntests have been obtained. It is found that instead of the original W, LR and
\nLM tests, the use of the Edgeworth size corrected W, LR and LM tests in the
\nformation of the PTEs reduces the conflict among the biases and MSEs of the
\nestimators remarkably.<\/p>\n

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

This paper defines the preliminary test estimator (PTE) of the univariate normal mean under the original as well as the Edgeworth size corrected Wald (W), likelihood ratio (LR) and Lagrange multiplier (LM) tests. The bias and mean squared error (MSE) functions of the estimators are derived. The conflicts among the biases and the MSEs of […]<\/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":[19],"issuem_issue_categories":[],"issuem_issue_tags":[],"class_list":["post-620","article","type-article","status-publish","format-standard","hentry","issuem_issue-v40n2"],"yoast_head":"\nEdgeworth size corrected W, LR and LM tests in the formation of the preliminary test estimator - 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\/edgeworth-size-corrected-w-lr-lm-tests-formation-preliminary-test-estimator\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Edgeworth size corrected W, LR and LM tests in the formation of the preliminary test estimator - JSR\" \/>\n<meta property=\"og:description\" content=\"This paper defines the preliminary test estimator (PTE) of the univariate normal mean under the original as well as the Edgeworth size corrected Wald (W), likelihood ratio (LR) and Lagrange multiplier (LM) tests. The bias and mean squared error (MSE) functions of the estimators are derived. The conflicts among the biases and the MSEs of […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/jsr.isrt.ac.bd\/article\/edgeworth-size-corrected-w-lr-lm-tests-formation-preliminary-test-estimator\/\" \/>\n<meta property=\"og:site_name\" content=\"JSR\" \/>\n<meta property=\"article:modified_time\" content=\"2017-09-28T05:58:03+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\/edgeworth-size-corrected-w-lr-lm-tests-formation-preliminary-test-estimator\/\",\"url\":\"https:\/\/jsr.isrt.ac.bd\/article\/edgeworth-size-corrected-w-lr-lm-tests-formation-preliminary-test-estimator\/\",\"name\":\"Edgeworth size corrected W, LR and LM tests in the formation of the preliminary test estimator - JSR\",\"isPartOf\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/#website\"},\"datePublished\":\"2017-09-28T05:25:28+00:00\",\"dateModified\":\"2017-09-28T05:58:03+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/edgeworth-size-corrected-w-lr-lm-tests-formation-preliminary-test-estimator\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/jsr.isrt.ac.bd\/article\/edgeworth-size-corrected-w-lr-lm-tests-formation-preliminary-test-estimator\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/edgeworth-size-corrected-w-lr-lm-tests-formation-preliminary-test-estimator\/#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\":\"Edgeworth size corrected W, LR and LM tests in the formation of the preliminary test estimator\"}]},{\"@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":"Edgeworth size corrected W, LR and LM tests in the formation of the preliminary test estimator - 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\/edgeworth-size-corrected-w-lr-lm-tests-formation-preliminary-test-estimator\/","og_locale":"en_US","og_type":"article","og_title":"Edgeworth size corrected W, LR and LM tests in the formation of the preliminary test estimator - JSR","og_description":"This paper defines the preliminary test estimator (PTE) of the univariate normal mean under the original as well as the Edgeworth size corrected Wald (W), likelihood ratio (LR) and Lagrange multiplier (LM) tests. The bias and mean squared error (MSE) functions of the estimators are derived. The conflicts among the biases and the MSEs of […]","og_url":"https:\/\/jsr.isrt.ac.bd\/article\/edgeworth-size-corrected-w-lr-lm-tests-formation-preliminary-test-estimator\/","og_site_name":"JSR","article_modified_time":"2017-09-28T05:58:03+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\/edgeworth-size-corrected-w-lr-lm-tests-formation-preliminary-test-estimator\/","url":"https:\/\/jsr.isrt.ac.bd\/article\/edgeworth-size-corrected-w-lr-lm-tests-formation-preliminary-test-estimator\/","name":"Edgeworth size corrected W, LR and LM tests in the formation of the preliminary test estimator - JSR","isPartOf":{"@id":"https:\/\/jsr.isrt.ac.bd\/#website"},"datePublished":"2017-09-28T05:25:28+00:00","dateModified":"2017-09-28T05:58:03+00:00","breadcrumb":{"@id":"https:\/\/jsr.isrt.ac.bd\/article\/edgeworth-size-corrected-w-lr-lm-tests-formation-preliminary-test-estimator\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/jsr.isrt.ac.bd\/article\/edgeworth-size-corrected-w-lr-lm-tests-formation-preliminary-test-estimator\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/jsr.isrt.ac.bd\/article\/edgeworth-size-corrected-w-lr-lm-tests-formation-preliminary-test-estimator\/#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":"Edgeworth size corrected W, LR and LM tests in the formation of the preliminary test estimator"}]},{"@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\/620","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=620"}],"version-history":[{"count":0,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/article\/620\/revisions"}],"wp:attachment":[{"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/media?parent=620"}],"wp:term":[{"taxonomy":"issuem_issue","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue?post=620"},{"taxonomy":"issuem_issue_categories","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue_categories?post=620"},{"taxonomy":"issuem_issue_tags","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue_tags?post=620"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}