On comparison of reversed hazard rates of two parallel systems comprising of independent gamma components

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• 作者：Neeraj Misra^a ; ^{neeraj@iitk.ac.in} ; Amit Kumar Misra^b ; ^{amishra@cub.ac.in} ; ^{mishraamit31@gmail.com}
• 关键词：Gamma distribution ; Hazard rate order ; Majorization ; Reversed hazard rate order ; Usual stochastic order
• 刊名：Statistics and Probability Letters
• 出版年：2013
• 出版时间：June, 2013
• 年：2013
• 卷：83
• 期：6
• 页码：1567-1570
• 全文大小：358 K

文摘

Let () be independent random variables such that () follows the gamma distribution with shape parameter and mean , (), . Let , and let () denote the reversed hazard rate of (). In this note we show that if weakly majorizes then , thereby strengthening the results of , and .