{"id":361,"date":"2017-05-12T10:31:55","date_gmt":"2017-05-12T10:31:55","guid":{"rendered":"http:\/\/jsr.isrt.ac.bd\/?post_type=article&#038;p=361"},"modified":"2017-05-12T10:32:33","modified_gmt":"2017-05-12T10:32:33","slug":"review-linear-mixed-models-small-area-estimation","status":"publish","type":"article","link":"http:\/\/jsr.isrt.ac.bd\/article\/review-linear-mixed-models-small-area-estimation\/","title":{"rendered":"A review of linear mixed models and small area estimation"},"content":{"rendered":"<p>The linear mixed models (LMM) and the empirical best linear unbiased predictor<br \/>\n(EBLUP) induced from LMM have been well studied and extensively used for a<br \/>\nlong time in many applications. Of these, EBLUP in small area estimation has<br \/>\nbeen recognized as a useful tool in various practical statistics. In this paper, we<br \/>\ngive a review on LMM and EBLUP from a aspect of small area estimation. Espe-<br \/>\ncially, we explain why EBLUP is likely to be reliable. The reason is that EBLUP<br \/>\npossesses the shrinkage function and the pooling e\u000bects as desirable properties,<br \/>\nwhich arise from the setup of random e\u000bects and common parameters in LMM.<br \/>\nSuch important properties of EBLUP are clari\fed as well as some recent results<br \/>\nof the mean squared error estimation, the con\fdence interval and the variable<br \/>\nselection procedures are summarized.<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"http:\/\/jsr.isrt.ac.bd\/wp-content\/uploads\/44n1_3.pdf\">44n1_3<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The linear mixed models (LMM) and the empirical best linear unbiased predictor (EBLUP) induced from LMM have been well studied and extensively used for a long time in many applications. Of these, EBLUP in small area estimation has been recognized as a useful tool in various practical statistics. In this paper, we give a review [&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":[11],"issuem_issue_categories":[],"issuem_issue_tags":[],"class_list":["post-361","article","type-article","status-publish","format-standard","hentry","issuem_issue-v44n1"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A review of linear mixed models and small area estimation - 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\/review-linear-mixed-models-small-area-estimation\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A review of linear mixed models and small area estimation - JSR\" \/>\n<meta property=\"og:description\" content=\"The linear mixed models (LMM) and the empirical best linear unbiased predictor (EBLUP) induced from LMM have been well studied and extensively used for a long time in many applications. Of these, EBLUP in small area estimation has been recognized as a useful tool in various practical statistics. In this paper, we give a review [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/jsr.isrt.ac.bd\/article\/review-linear-mixed-models-small-area-estimation\/\" \/>\n<meta property=\"og:site_name\" content=\"JSR\" \/>\n<meta property=\"article:modified_time\" content=\"2017-05-12T10:32:33+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\/review-linear-mixed-models-small-area-estimation\/\",\"url\":\"https:\/\/jsr.isrt.ac.bd\/article\/review-linear-mixed-models-small-area-estimation\/\",\"name\":\"A review of linear mixed models and small area estimation - JSR\",\"isPartOf\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/#website\"},\"datePublished\":\"2017-05-12T10:31:55+00:00\",\"dateModified\":\"2017-05-12T10:32:33+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/review-linear-mixed-models-small-area-estimation\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/jsr.isrt.ac.bd\/article\/review-linear-mixed-models-small-area-estimation\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/review-linear-mixed-models-small-area-estimation\/#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 review of linear mixed models and small area estimation\"}]},{\"@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 review of linear mixed models and small area estimation - 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\/review-linear-mixed-models-small-area-estimation\/","og_locale":"en_US","og_type":"article","og_title":"A review of linear mixed models and small area estimation - JSR","og_description":"The linear mixed models (LMM) and the empirical best linear unbiased predictor (EBLUP) induced from LMM have been well studied and extensively used for a long time in many applications. Of these, EBLUP in small area estimation has been recognized as a useful tool in various practical statistics. 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