{"id":115,"date":"2016-09-04T22:00:32","date_gmt":"2016-09-04T22:00:32","guid":{"rendered":"http:\/\/jsr.isrt.ac.bd\/?post_type=article&#038;p=115"},"modified":"2016-09-06T02:18:45","modified_gmt":"2016-09-06T02:18:45","slug":"bayesian-estimation-for-the-beta-birnbaum-saunders-distribution","status":"publish","type":"article","link":"http:\/\/jsr.isrt.ac.bd\/article\/bayesian-estimation-for-the-beta-birnbaum-saunders-distribution\/","title":{"rendered":"Bayesian estimation for the Beta-Birnbaum-Saunders distribution"},"content":{"rendered":"<div>\n<p>In this article, we present Bayes estimators for the parameters and reliability function of\u00a0the -Birnbaum-Saunders distribution under both the symmetric (squared error, SE) loss\u00a0function and asymmetric (LINEX and general entropy, GE) loss functions. The Bayes estimators\u00a0can not be obtained in closed form. Approximate Bayes estimators are computed\u00a0using Lindley\u2019s approximation technique. Posterior variance estimates are compared with\u00a0the variance of the maximum likelihood estimators (MLEs) of the parameters. The different\u00a0loss functions are compared through posterior risk. A real data set is analyzed for\u00a0illustrative purpose.<\/p>\n<p><a href=\"http:\/\/jsr.isrt.ac.bd\/wp-content\/uploads\/47n1_7.pdf\">Fulltext<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>In this article, we present Bayes estimators for the parameters and reliability function of\u00a0the -Birnbaum-Saunders distribution under both the symmetric (squared error, SE) loss\u00a0function and asymmetric (LINEX and general entropy, GE) loss functions. The Bayes estimators\u00a0can not be obtained in closed form. Approximate Bayes estimators are computed\u00a0using Lindley\u2019s approximation technique. Posterior variance estimates are compared [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"menu_order":0,"comment_status":"open","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":[2],"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>Bayesian estimation for the Beta-Birnbaum-Saunders distribution - 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\/bayesian-estimation-for-the-beta-birnbaum-saunders-distribution\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Bayesian estimation for the Beta-Birnbaum-Saunders distribution - JSR\" \/>\n<meta property=\"og:description\" content=\"In this article, we present Bayes estimators for the parameters and reliability function of\u00a0the -Birnbaum-Saunders distribution under both the symmetric (squared error, SE) loss\u00a0function and asymmetric (LINEX and general entropy, GE) loss functions. The Bayes estimators\u00a0can not be obtained in closed form. Approximate Bayes estimators are computed\u00a0using Lindley\u2019s approximation technique. Posterior variance estimates are compared [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/jsr.isrt.ac.bd\/article\/bayesian-estimation-for-the-beta-birnbaum-saunders-distribution\/\" \/>\n<meta property=\"og:site_name\" content=\"JSR\" \/>\n<meta property=\"article:modified_time\" content=\"2016-09-06T02:18:45+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\/bayesian-estimation-for-the-beta-birnbaum-saunders-distribution\/\",\"url\":\"https:\/\/jsr.isrt.ac.bd\/article\/bayesian-estimation-for-the-beta-birnbaum-saunders-distribution\/\",\"name\":\"Bayesian estimation for the Beta-Birnbaum-Saunders distribution - JSR\",\"isPartOf\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/#website\"},\"datePublished\":\"2016-09-04T22:00:32+00:00\",\"dateModified\":\"2016-09-06T02:18:45+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/bayesian-estimation-for-the-beta-birnbaum-saunders-distribution\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/jsr.isrt.ac.bd\/article\/bayesian-estimation-for-the-beta-birnbaum-saunders-distribution\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/bayesian-estimation-for-the-beta-birnbaum-saunders-distribution\/#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\":\"Bayesian estimation for the Beta-Birnbaum-Saunders distribution\"}]},{\"@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":"Bayesian estimation for the Beta-Birnbaum-Saunders distribution - 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\/bayesian-estimation-for-the-beta-birnbaum-saunders-distribution\/","og_locale":"en_US","og_type":"article","og_title":"Bayesian estimation for the Beta-Birnbaum-Saunders distribution - JSR","og_description":"In this article, we present Bayes estimators for the parameters and reliability function of\u00a0the -Birnbaum-Saunders distribution under both the symmetric (squared error, SE) loss\u00a0function and asymmetric (LINEX and general entropy, GE) loss functions. The Bayes estimators\u00a0can not be obtained in closed form. Approximate Bayes estimators are computed\u00a0using Lindley\u2019s approximation technique. Posterior variance estimates are compared [&hellip;]","og_url":"https:\/\/jsr.isrt.ac.bd\/article\/bayesian-estimation-for-the-beta-birnbaum-saunders-distribution\/","og_site_name":"JSR","article_modified_time":"2016-09-06T02:18:45+00:00","twitter_card":"summary_large_image","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/jsr.isrt.ac.bd\/article\/bayesian-estimation-for-the-beta-birnbaum-saunders-distribution\/","url":"https:\/\/jsr.isrt.ac.bd\/article\/bayesian-estimation-for-the-beta-birnbaum-saunders-distribution\/","name":"Bayesian estimation for the Beta-Birnbaum-Saunders distribution - JSR","isPartOf":{"@id":"https:\/\/jsr.isrt.ac.bd\/#website"},"datePublished":"2016-09-04T22:00:32+00:00","dateModified":"2016-09-06T02:18:45+00:00","breadcrumb":{"@id":"https:\/\/jsr.isrt.ac.bd\/article\/bayesian-estimation-for-the-beta-birnbaum-saunders-distribution\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/jsr.isrt.ac.bd\/article\/bayesian-estimation-for-the-beta-birnbaum-saunders-distribution\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/jsr.isrt.ac.bd\/article\/bayesian-estimation-for-the-beta-birnbaum-saunders-distribution\/#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":"Bayesian estimation for the Beta-Birnbaum-Saunders distribution"}]},{"@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\/115"}],"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\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/comments?post=115"}],"version-history":[{"count":0,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/article\/115\/revisions"}],"wp:attachment":[{"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/media?parent=115"}],"wp:term":[{"taxonomy":"issuem_issue","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue?post=115"},{"taxonomy":"issuem_issue_categories","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue_categories?post=115"},{"taxonomy":"issuem_issue_tags","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue_tags?post=115"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}