{"id":286,"date":"2017-03-14T20:21:06","date_gmt":"2017-03-14T20:21:06","guid":{"rendered":"http:\/\/jsr.isrt.ac.bd\/?post_type=article&p=286"},"modified":"2017-03-14T20:21:06","modified_gmt":"2017-03-14T20:21:06","slug":"several-simple-linear-models-measurement-errors-parallelism-hypothesis","status":"publish","type":"article","link":"http:\/\/jsr.isrt.ac.bd\/article\/several-simple-linear-models-measurement-errors-parallelism-hypothesis\/","title":{"rendered":"Several Simple Linear models with measurement errors: parallelism hypothesis"},"content":{"rendered":"

The problem of estimation of the regression parameters in several simple regression models
\nwith measurement errors is considered when it is suspected that the regression lines may
\nbe parallel with some degree of uncertainty. In this regard we propose five estimators,
\nnamely, (i) the unrestricted estimator, (ii) the restricted estimator, (iii) the preliminary test
\nestimator, (iv) the Stein-type estimator and (v) the positive-rule Stein-type estimator as
\nin Saleh (2006). Properties of these estimators are studied in an asymptotic set up and
\nthe asymptotic distributional bias, MSE matrices, and risk under a quadratic loss function
\nare obtained based on a sequence of local alternatives and dominance properties of these
\nestimators are provided.<\/p>\n

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

The problem of estimation of the regression parameters in several simple regression models with measurement errors is considered when it is suspected that the regression lines may be parallel with some degree of uncertainty. In this regard we propose five estimators, namely, (i) the unrestricted estimator, (ii) the restricted estimator, (iii) the preliminary test estimator, […]<\/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":[8],"issuem_issue_categories":[],"issuem_issue_tags":[],"yoast_head":"\nSeveral Simple Linear models with measurement errors: parallelism hypothesis - 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\/several-simple-linear-models-measurement-errors-parallelism-hypothesis\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Several Simple Linear models with measurement errors: parallelism hypothesis - JSR\" \/>\n<meta property=\"og:description\" content=\"The problem of estimation of the regression parameters in several simple regression models with measurement errors is considered when it is suspected that the regression lines may be parallel with some degree of uncertainty. In this regard we propose five estimators, namely, (i) the unrestricted estimator, (ii) the restricted estimator, (iii) the preliminary test estimator, […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/jsr.isrt.ac.bd\/article\/several-simple-linear-models-measurement-errors-parallelism-hypothesis\/\" \/>\n<meta property=\"og:site_name\" content=\"JSR\" \/>\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\/several-simple-linear-models-measurement-errors-parallelism-hypothesis\/\",\"url\":\"https:\/\/jsr.isrt.ac.bd\/article\/several-simple-linear-models-measurement-errors-parallelism-hypothesis\/\",\"name\":\"Several Simple Linear models with measurement errors: parallelism hypothesis - JSR\",\"isPartOf\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/#website\"},\"datePublished\":\"2017-03-14T20:21:06+00:00\",\"dateModified\":\"2017-03-14T20:21:06+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/several-simple-linear-models-measurement-errors-parallelism-hypothesis\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/jsr.isrt.ac.bd\/article\/several-simple-linear-models-measurement-errors-parallelism-hypothesis\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/several-simple-linear-models-measurement-errors-parallelism-hypothesis\/#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\":\"Several Simple Linear models with measurement errors: parallelism hypothesis\"}]},{\"@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":"Several Simple Linear models with measurement errors: parallelism hypothesis - 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\/several-simple-linear-models-measurement-errors-parallelism-hypothesis\/","og_locale":"en_US","og_type":"article","og_title":"Several Simple Linear models with measurement errors: parallelism hypothesis - JSR","og_description":"The problem of estimation of the regression parameters in several simple regression models with measurement errors is considered when it is suspected that the regression lines may be parallel with some degree of uncertainty. In this regard we propose five estimators, namely, (i) the unrestricted estimator, (ii) the restricted estimator, (iii) the preliminary test estimator, […]","og_url":"https:\/\/jsr.isrt.ac.bd\/article\/several-simple-linear-models-measurement-errors-parallelism-hypothesis\/","og_site_name":"JSR","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\/several-simple-linear-models-measurement-errors-parallelism-hypothesis\/","url":"https:\/\/jsr.isrt.ac.bd\/article\/several-simple-linear-models-measurement-errors-parallelism-hypothesis\/","name":"Several Simple Linear models with measurement errors: parallelism hypothesis - JSR","isPartOf":{"@id":"https:\/\/jsr.isrt.ac.bd\/#website"},"datePublished":"2017-03-14T20:21:06+00:00","dateModified":"2017-03-14T20:21:06+00:00","breadcrumb":{"@id":"https:\/\/jsr.isrt.ac.bd\/article\/several-simple-linear-models-measurement-errors-parallelism-hypothesis\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/jsr.isrt.ac.bd\/article\/several-simple-linear-models-measurement-errors-parallelism-hypothesis\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/jsr.isrt.ac.bd\/article\/several-simple-linear-models-measurement-errors-parallelism-hypothesis\/#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":"Several Simple Linear models with measurement errors: parallelism hypothesis"}]},{"@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\/286"}],"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=286"}],"version-history":[{"count":0,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/article\/286\/revisions"}],"wp:attachment":[{"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/media?parent=286"}],"wp:term":[{"taxonomy":"issuem_issue","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue?post=286"},{"taxonomy":"issuem_issue_categories","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue_categories?post=286"},{"taxonomy":"issuem_issue_tags","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue_tags?post=286"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}