{"id":614,"date":"2017-09-28T05:16:29","date_gmt":"2017-09-28T05:16:29","guid":{"rendered":"http:\/\/jsr.isrt.ac.bd\/?post_type=article&p=614"},"modified":"2020-11-01T14:30:47","modified_gmt":"2020-11-01T14:30:47","slug":"bayesian-analysis-py-x-limiting-form","status":"publish","type":"article","link":"http:\/\/jsr.isrt.ac.bd\/article\/bayesian-analysis-py-x-limiting-form\/","title":{"rendered":"Bayesian analysis of \"P[Y < X]\" in its limiting form"},"content":{"rendered":"

The present study deals with the Bayesian estimation of the remodeled stress strength
\nsystem reliability, \"P[Y < X]\". Here, \"X\" and \"Y\" represent strength and
\nstress variables respectively.The random variables \"X\" and \"Y\" have been respectively
\nredefined as \"U = min(X_1,X_2, \ldots ,X_m)\" and \"V = max(Y_1, Y_2, \ldots , Y_n\") to
\nconceptualize the concept of limiting stress-strength reliability, \"P[V < U]\", for
\nmeeting the requirements of the systems in defense. For such systems, the designer
\nwishes to attach high probability to the event that the system remains
\noperable at its minimum strength encountering with the maximum stress.<\/p>\n

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

The present study deals with the Bayesian estimation of the remodeled stress strength system reliability, . Here, and represent strength and stress variables respectively.The random variables and have been respectively redefined as and ) to conceptualize the concept of limiting stress-strength reliability, , for meeting the requirements of the systems in defense. For such systems, […]<\/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":[19],"issuem_issue_categories":[],"issuem_issue_tags":[],"yoast_head":"\nBayesian analysis of $P[Y < X]$ in its limiting form - 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-analysis-py-x-limiting-form\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Bayesian analysis of $P[Y < X]$ in its limiting form - JSR\" \/>\n<meta property=\"og:description\" content=\"The present study deals with the Bayesian estimation of the remodeled stress strength system reliability, . Here, and represent strength and stress variables respectively.The random variables and have been respectively redefined as and ) to conceptualize the concept of limiting stress-strength reliability, , for meeting the requirements of the systems in defense. For such systems, […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/jsr.isrt.ac.bd\/article\/bayesian-analysis-py-x-limiting-form\/\" \/>\n<meta property=\"og:site_name\" content=\"JSR\" \/>\n<meta property=\"article:modified_time\" content=\"2020-11-01T14:30:47+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\/bayesian-analysis-py-x-limiting-form\/\",\"url\":\"https:\/\/jsr.isrt.ac.bd\/article\/bayesian-analysis-py-x-limiting-form\/\",\"name\":\"Bayesian analysis of $P[Y < X]$ in its limiting form - JSR\",\"isPartOf\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/#website\"},\"datePublished\":\"2017-09-28T05:16:29+00:00\",\"dateModified\":\"2020-11-01T14:30:47+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/bayesian-analysis-py-x-limiting-form\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/jsr.isrt.ac.bd\/article\/bayesian-analysis-py-x-limiting-form\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/bayesian-analysis-py-x-limiting-form\/#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 analysis of in its limiting form\"}]},{\"@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 analysis of $P[Y < X]$ in its limiting form - 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-analysis-py-x-limiting-form\/","og_locale":"en_US","og_type":"article","og_title":"Bayesian analysis of $P[Y < X]$ in its limiting form - JSR","og_description":"The present study deals with the Bayesian estimation of the remodeled stress strength system reliability, . Here, and represent strength and stress variables respectively.The random variables and have been respectively redefined as and ) to conceptualize the concept of limiting stress-strength reliability, , for meeting the requirements of the systems in defense. For such systems, […]","og_url":"https:\/\/jsr.isrt.ac.bd\/article\/bayesian-analysis-py-x-limiting-form\/","og_site_name":"JSR","article_modified_time":"2020-11-01T14:30:47+00:00","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\/bayesian-analysis-py-x-limiting-form\/","url":"https:\/\/jsr.isrt.ac.bd\/article\/bayesian-analysis-py-x-limiting-form\/","name":"Bayesian analysis of $P[Y < X]$ in its limiting form - JSR","isPartOf":{"@id":"https:\/\/jsr.isrt.ac.bd\/#website"},"datePublished":"2017-09-28T05:16:29+00:00","dateModified":"2020-11-01T14:30:47+00:00","breadcrumb":{"@id":"https:\/\/jsr.isrt.ac.bd\/article\/bayesian-analysis-py-x-limiting-form\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/jsr.isrt.ac.bd\/article\/bayesian-analysis-py-x-limiting-form\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/jsr.isrt.ac.bd\/article\/bayesian-analysis-py-x-limiting-form\/#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 analysis of in its limiting form"}]},{"@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\/614"}],"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=614"}],"version-history":[{"count":0,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/article\/614\/revisions"}],"wp:attachment":[{"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/media?parent=614"}],"wp:term":[{"taxonomy":"issuem_issue","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue?post=614"},{"taxonomy":"issuem_issue_categories","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue_categories?post=614"},{"taxonomy":"issuem_issue_tags","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue_tags?post=614"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}