{"id":611,"date":"2017-09-28T05:12:18","date_gmt":"2017-09-28T05:12:18","guid":{"rendered":"http:\/\/jsr.isrt.ac.bd\/?post_type=article&#038;p=611"},"modified":"2017-09-28T05:12:35","modified_gmt":"2017-09-28T05:12:35","slug":"generalized-order-statistics-exponential-distribution","status":"publish","type":"article","link":"http:\/\/jsr.isrt.ac.bd\/article\/generalized-order-statistics-exponential-distribution\/","title":{"rendered":"On generalized order statistics from exponential distribution"},"content":{"rendered":"<p>Let <img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/jsr.isrt.ac.bd\/wp-content\/ql-cache\/quicklatex.com-2453362c766504f3c3806fed710a5337_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#88;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"\/> be a non-negative random variable (r.v.) with cumulative distribution<br \/>\nfunction (cdf) <img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/jsr.isrt.ac.bd\/wp-content\/ql-cache\/quicklatex.com-53dc020de5338aa229c3d10379153faa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#70;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/>. Suppose <img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/jsr.isrt.ac.bd\/wp-content\/ql-cache\/quicklatex.com-b80c4efcd408dc1c9eaca8f24ecb5e64_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#88;&#40;&#114;&#44;&#32;&#110;&#44;&#109;&#44;&#32;&#107;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"96\" style=\"vertical-align: -5px;\"\/>, (<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/jsr.isrt.ac.bd\/wp-content\/ql-cache\/quicklatex.com-1a406da5968f9c97bb0a603464bec80b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#114;&#32;&#61;&#32;&#49;&#44;&#32;&#50;&#44;&#92;&#108;&#100;&#111;&#116;&#115;&#32;&#44;&#32;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"108\" style=\"vertical-align: -4px;\"\/>), <img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/jsr.isrt.ac.bd\/wp-content\/ql-cache\/quicklatex.com-c9892c160739d7b5be03e1d300d29a2b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"\/> is a real number and<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/jsr.isrt.ac.bd\/wp-content\/ql-cache\/quicklatex.com-2ddc37c12d61b26ea32e2cb6f3fd90ad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#92;&#103;&#101;&#113;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"41\" style=\"vertical-align: -3px;\"\/>, is the rth smallest generalized order statistic. Several distributional properties<br \/>\nof the generalized order statistics from exponential distribution are given.<br \/>\nSome characterizations of the exponential distribution based on the generalized<br \/>\norder statistics are presented.<\/p>\n<p><a href=\"http:\/\/jsr.isrt.ac.bd\/wp-content\/uploads\/40n2_3.pdf\">Fulltext<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Let be a non-negative random variable (r.v.) with cumulative distribution function (cdf) . Suppose , (), is a real number and , is the rth smallest generalized order statistic. Several distributional properties of the generalized order statistics from exponential distribution are given. Some characterizations of the exponential distribution based on the generalized order statistics are [&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":[19],"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 generalized order statistics from exponential 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\/generalized-order-statistics-exponential-distribution\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"On generalized order statistics from exponential distribution - JSR\" \/>\n<meta property=\"og:description\" content=\"Let be a non-negative random variable (r.v.) with cumulative distribution function (cdf) . Suppose , (), is a real number and , is the rth smallest generalized order statistic. Several distributional properties of the generalized order statistics from exponential distribution are given. 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Suppose , (), is a real number and , is the rth smallest generalized order statistic. Several distributional properties of the generalized order statistics from exponential distribution are given. Some characterizations of the exponential distribution based on the generalized order statistics are [&hellip;]","og_url":"https:\/\/jsr.isrt.ac.bd\/article\/generalized-order-statistics-exponential-distribution\/","og_site_name":"JSR","article_modified_time":"2017-09-28T05:12:35+00:00","twitter_card":"summary_large_image","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/jsr.isrt.ac.bd\/article\/generalized-order-statistics-exponential-distribution\/","url":"https:\/\/jsr.isrt.ac.bd\/article\/generalized-order-statistics-exponential-distribution\/","name":"On generalized order statistics from exponential distribution - JSR","isPartOf":{"@id":"https:\/\/jsr.isrt.ac.bd\/#website"},"datePublished":"2017-09-28T05:12:18+00:00","dateModified":"2017-09-28T05:12:35+00:00","breadcrumb":{"@id":"https:\/\/jsr.isrt.ac.bd\/article\/generalized-order-statistics-exponential-distribution\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/jsr.isrt.ac.bd\/article\/generalized-order-statistics-exponential-distribution\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/jsr.isrt.ac.bd\/article\/generalized-order-statistics-exponential-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":"On generalized order statistics from exponential 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\/611"}],"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=611"}],"version-history":[{"count":0,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/article\/611\/revisions"}],"wp:attachment":[{"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/media?parent=611"}],"wp:term":[{"taxonomy":"issuem_issue","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue?post=611"},{"taxonomy":"issuem_issue_categories","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue_categories?post=611"},{"taxonomy":"issuem_issue_tags","embeddable":true,"href":"http:\/\/jsr.isrt.ac.bd\/wp-json\/wp\/v2\/issuem_issue_tags?post=611"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}