-
50浏览
-
0点赞
-
0收藏
-
0分享
-
201下载
-
0评论
-
引用
期刊论文
Likelihood ratio and mean residual life orders for order statistics of heterogeneous random variables*
Probability in the Engineering and Informational Sciences, 2001, 15 (2), 259-272.,-0001,():
Let X1:n ≤ X2:n ≤…≤ Xn:n denote the order statistics of a set of independent and not necessarily identically distributed random variables X1,…, Xn. Under mild assumptions, it is shown that Xk-1:n-1≤lr Xk:n for k=2,…, n if X1≤lr X2≤lr…≤lr Xn, and that Xk:n≤lr Xk:n-1 for k=1,… n-1 if X1≥lr X2≥lr…≥lr Xn, where ≤lr denotes the likelihood ratio order. Concerning the mean residual life order (≤mrl), it is shown that Xn-1:n-1 ≤mrl Xn:n if Xj≤mrl Xn for j=1,…, n-1. Two counterexamples are also given to illustrate that Xk-1:n-1 ≤mrl Xk:n in this case is, in general, not true for k<n.
【免责声明】以下全部内容由[胡太忠]上传于[2005年03月31日 17时53分05秒],版权归原创者所有。本文仅代表作者本人观点,与本网站无关。本网站对文中陈述、观点判断保持中立,不对所包含内容的准确性、可靠性或完整性提供任何明示或暗示的保证。请读者仅作参考,并请自行承担全部责任。
本学者其他成果
同领域成果