{"id":15036,"date":"2016-09-14T09:44:55","date_gmt":"2016-09-14T09:44:55","guid":{"rendered":"http:\/\/www.takbook.com\/best\/stochastic-orders-of-weighted-distributions-2\/"},"modified":"2016-09-29T16:20:07","modified_gmt":"2016-09-29T16:20:07","slug":"stochastic-orders-of-weighted-distributions-2","status":"publish","type":"post","link":"https:\/\/www.takbook.com\/best\/stochastic-orders-of-weighted-distributions-2\/","title":{"rendered":"Stochastic Orders of Weighted Distributions"},"content":{"rendered":"<div style=\"text-align:center;direction:rtl\">\n<div style=\"border:1px solid #000000!important;padding:12px!important;overflow:auto!important;background:#ffffff!important;margin-bottom:10px;min-width:300px!important;max-width:500px!important;\"><a href=\"http:\/\/par3.4kia.ir\/info\/41421\/i\/?getppsid=18004\" target=\"_blank\" rel=\"nofollow\"><img src=\"http:\/\/www.takbook.com\/best\/wp-content\/uploads\/2016\/09\/14747_1470846146-3.jpg\" alt=\"Stochastic Orders of Weighted Distributions\" style=\"float:right !important;margin:0 !important;margin-left:10px !important;padding-top:10px !important;width:130px;height:125px;\" \/><\/a><\/p>\n<h3 style=\"font:bold 14px\/1.7 Tahoma!important;margin-top:0px!important;\"><a href=\"http:\/\/par3.4kia.ir\/info\/41421\/i\/?getppsid=18004\" target=\"_blank\" style=\"text-decoration:none!important;color:#195ada!important;\" rel=\"nofollow\">Stochastic Orders of Weighted Distributions<\/a><\/h3>\n<p style=\"font:200 13px\/1.5 Tahoma!important;text-align:justify!important;direction:rtl!important;color:#000000\">In this paper, we make use of a representation of weighted distributions given by B\u0142a\u017cej (8002) [Preservation of classes of life distributions under weighting with a general weight function, Stat. and Prob. Lett., 82, 6004-6043], for the preservation of several weak stochastic orders under weighting. Using the previous results of Misra et al. (8002), we also obtain a preservation result of some ageing classes under weighting [Preservation of some aging properties and stochastic orders by weighted distributions. Commun. Stat. Theory Methods,68, 488-466]. By considering order statistics, record values, proportional hazards and proportional reversed hazards models as weighted distributions, we show that the result given for preservation of stochastic orders by weighting, is well motivated&#8230;.<\/p>\n<div style=\"text-align:center\"><a href=\"http:\/\/par3.4kia.ir\/info\/41421\/i\/?getppsid=18004\" target=\"_blank\" style=\"background-color:#195ada!important;color:#ffffff!important;text-decoration:none!important;font-size:20px!important;font-weight:bold!important;padding:6px 10px;font-family:arial;\" rel=\"nofollow\">\u062c\u0632\u0626\u06cc\u0627\u062a \u0628\u06cc\u0634\u062a\u0631 \/ \u062f\u0627\u0646\u0644\u0648\u062f<\/a><\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Stochastic Orders of Weighted Distributions In this paper, we make use of a representation of weighted distributions given by B\u0142a\u017cej (8002) [Preservation of classes of life distributions under weighting with [&#8230;]<\/p>\n","protected":false},"author":1,"featured_media":15037,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"amp_status":""},"categories":[131],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v14.9 - 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