{"id":515,"date":"2017-09-24T06:28:13","date_gmt":"2017-09-24T06:28:13","guid":{"rendered":"http:\/\/jsr.isrt.ac.bd\/?post_type=article&p=515"},"modified":"2017-09-24T06:28:30","modified_gmt":"2017-09-24T06:28:30","slug":"inference-reliability-px","status":"publish","type":"article","link":"http:\/\/jsr.isrt.ac.bd\/article\/inference-reliability-px\/","title":{"rendered":"Inference on reliability \"P(X<Y)\" in truncated arcsine distributions"},"content":{"rendered":"

We consider inference on reliability \"R = P(Y <X)\", where the random variables
\n\"X\" and \"Y\" are independent truncated arcsine distributions with parameters \f\"\beta_1\" and
\n\"\beta_2\", respectively. We obtain the maximum likelihood estimator of \"R\" in terms of
\n\"\rho=\beta-1/\beta_2\" and observe that inference on \"R\" is equivalent to inference on \"\rho\", where
\n\"R\" is a monotone function of \"\rho\". We obtain an exact and an approximate con\fdence
\ninterval for \"\rho\" and also provide a test for \"\rho\".<\/p>\n

 <\/p>\n

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

We consider inference on reliability , where the random variables and are independent truncated arcsine distributions with parameters \f and , respectively. We obtain the maximum likelihood estimator of in terms of and observe that inference on is equivalent to inference on , where is a monotone function of . We obtain an exact and […]<\/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":[15],"issuem_issue_categories":[],"issuem_issue_tags":[],"yoast_head":"\nInference on reliability $P(X<\/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\/inference-reliability-px\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Inference on reliability $P(X\" \/>\n<meta property=\"og:description\" content=\"We consider inference on reliability , where the random variables and are independent truncated arcsine distributions with parameters and , respectively. We obtain the maximum likelihood estimator of in terms of and observe that inference on is equivalent to inference on , where is a monotone function of . 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We obtain the maximum likelihood estimator of in terms of and observe that inference on is equivalent to inference on , where is a monotone function of . We obtain an exact and […]","og_url":"https:\/\/jsr.isrt.ac.bd\/article\/inference-reliability-px\/","og_site_name":"JSR","article_modified_time":"2017-09-24T06:28:30+00:00","twitter_card":"summary_large_image","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/jsr.isrt.ac.bd\/article\/inference-reliability-px\/","url":"https:\/\/jsr.isrt.ac.bd\/article\/inference-reliability-px\/","name":"Inference on reliability $P(X","isPartOf":{"@id":"https:\/\/jsr.isrt.ac.bd\/#website"},"datePublished":"2017-09-24T06:28:13+00:00","dateModified":"2017-09-24T06:28:30+00:00","breadcrumb":{"@id":"https:\/\/jsr.isrt.ac.bd\/article\/inference-reliability-px\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/jsr.isrt.ac.bd\/article\/inference-reliability-px\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/jsr.isrt.ac.bd\/article\/inference-reliability-px\/#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":"Inference on reliability in truncated arcsine distributions"}]},{"@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\/515"}],"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=515"}],"version-history":[{"count":0,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/article\/515\/revisions"}],"wp:attachment":[{"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/media?parent=515"}],"wp:term":[{"taxonomy":"issuem_issue","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue?post=515"},{"taxonomy":"issuem_issue_categories","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue_categories?post=515"},{"taxonomy":"issuem_issue_tags","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue_tags?post=515"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}