{"id":315,"date":"2017-04-24T12:54:46","date_gmt":"2017-04-24T12:54:46","guid":{"rendered":"http:\/\/jsr.isrt.ac.bd\/?post_type=article&#038;p=315"},"modified":"2017-04-24T12:54:53","modified_gmt":"2017-04-24T12:54:53","slug":"testing-order-restricted-mean-residual-life-functions-censoring","status":"publish","type":"article","link":"http:\/\/jsr.isrt.ac.bd\/article\/testing-order-restricted-mean-residual-life-functions-censoring\/","title":{"rendered":"On testing order restricted mean residual life functions under censoring"},"content":{"rendered":"<p>In this paper we consider the problems of testing <img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/jsr.isrt.ac.bd\/wp-content\/ql-cache\/quicklatex.com-88b2c2f767780e7bbcf8a370110ddc0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#72;&#95;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"22\" style=\"vertical-align: -3px;\"\/> : a mean residual life (MRL) is exponential<br \/>\nversus <img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/jsr.isrt.ac.bd\/wp-content\/ql-cache\/quicklatex.com-02c95038ce40a83874dcd6844b1a2218_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#72;&#95;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"21\" style=\"vertical-align: -3px;\"\/> : it is new better than used in expectation (NBUE), but not exponential<br \/>\nfirst and then <img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/jsr.isrt.ac.bd\/wp-content\/ql-cache\/quicklatex.com-88b2c2f767780e7bbcf8a370110ddc0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#72;&#95;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"22\" style=\"vertical-align: -3px;\"\/> versus <img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/jsr.isrt.ac.bd\/wp-content\/ql-cache\/quicklatex.com-4aa7b700dcea9ad244131589b37a2a57_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#72;&#95;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"22\" style=\"vertical-align: -3px;\"\/> : it is decreasing MRL (DMRL), but not exponential. The<br \/>\npaper gives a nice chronological summary of the tests developed for these two classes both<br \/>\nfor the complete data and incomplete data cases. We have developed a new test for each<br \/>\nclass under censoring. Both tests are shown to be consistent in their classes. We have<br \/>\nderived the asymptotic distributions of our test statistics.<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"http:\/\/jsr.isrt.ac.bd\/wp-content\/uploads\/45n1_8.pdf\">45n1_8<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this paper we consider the problems of testing : a mean residual life (MRL) is exponential versus : it is new better than used in expectation (NBUE), but not exponential first and then versus : it is decreasing MRL (DMRL), but not exponential. The paper gives a nice chronological summary of the tests developed [&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":[9],"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>On testing order restricted mean residual life functions under censoring - 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\/testing-order-restricted-mean-residual-life-functions-censoring\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"On testing order restricted mean residual life functions under censoring - JSR\" \/>\n<meta property=\"og:description\" content=\"In this paper we consider the problems of testing : a mean residual life (MRL) is exponential versus : it is new better than used in expectation (NBUE), but not exponential first and then versus : it is decreasing MRL (DMRL), but not exponential. The paper gives a nice chronological summary of the tests developed [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/jsr.isrt.ac.bd\/article\/testing-order-restricted-mean-residual-life-functions-censoring\/\" \/>\n<meta property=\"og:site_name\" content=\"JSR\" \/>\n<meta property=\"article:modified_time\" content=\"2017-04-24T12:54:53+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\/testing-order-restricted-mean-residual-life-functions-censoring\/\",\"url\":\"https:\/\/jsr.isrt.ac.bd\/article\/testing-order-restricted-mean-residual-life-functions-censoring\/\",\"name\":\"On testing order restricted mean residual life functions under censoring - JSR\",\"isPartOf\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/#website\"},\"datePublished\":\"2017-04-24T12:54:46+00:00\",\"dateModified\":\"2017-04-24T12:54:53+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/testing-order-restricted-mean-residual-life-functions-censoring\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/jsr.isrt.ac.bd\/article\/testing-order-restricted-mean-residual-life-functions-censoring\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/testing-order-restricted-mean-residual-life-functions-censoring\/#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\":\"On testing order restricted mean residual life functions under censoring\"}]},{\"@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":"On testing order restricted mean residual life functions under censoring - 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\/testing-order-restricted-mean-residual-life-functions-censoring\/","og_locale":"en_US","og_type":"article","og_title":"On testing order restricted mean residual life functions under censoring - JSR","og_description":"In this paper we consider the problems of testing : a mean residual life (MRL) is exponential versus : it is new better than used in expectation (NBUE), but not exponential first and then versus : it is decreasing MRL (DMRL), but not exponential. 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