ON THE SKEWNESS OF ORDER STATISTICS IN MULTIPLE-OUTLIER MODELS

被引：30

作者：

Kochar, Subhash ^{[1
]}

Xu, Maochao ^{[2
]}

机构：

[1] Portland State Univ, Dept Math & Stat, Portland, OR 97201 USA

[2] Illinois State Univ, Dept Math, Normal, IL 61790 USA

来源：

JOURNAL OF APPLIED PROBABILITY | 2011年 / 48卷 / 01期

关键词：

Dispersive order; exponential distribution; decreasing failure rate; k-out-of-n system; proportional hazard rate; right spread order; skewness; star order; EXPONENTIAL RANDOM-VARIABLES; LIKELIHOOD RATIO ORDERINGS; STOCHASTIC COMPARISONS; PARALLEL SYSTEMS; SPACINGS; DISTRIBUTIONS; PERMANENTS; RATES;

D O I：

10.1239/jap/1300198149

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Kochar and Xu (2009) proved that a parallel system with heterogeneous exponential component lifetimes is more skewed (according to the convex transform order) than the system with independent and identically distributed exponential components. In this paper we extend this study to the general k-out-of-n systems for the case when there are only two types of component in the system. An open problem proposed in Paltanea (2008) is partially solved.

引用

页码：271 / 284

页数：14

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