Journal of Applied Probability

On the skewness of order statistics in multiple-outlier models

Subhash Kochar and Maochao Xu

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Abstract

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 Pǎltǎnea (2008) is partially solved.

Article information

Source
J. Appl. Probab., Volume 48, Number 1 (2011), 271-284.

Dates
First available in Project Euclid: 15 March 2011

Permanent link to this document
https://projecteuclid.org/euclid.jap/1300198149

Digital Object Identifier
doi:10.1239/jap/1300198149

Mathematical Reviews number (MathSciNet)
MR2809900

Zentralblatt MATH identifier
1229.62060

Subjects
Primary: 60E15: Inequalities; stochastic orderings 62N05: Reliability and life testing [See also 90B25] 62G30: Order statistics; empirical distribution functions 62D05: Sampling theory, sample surveys

Keywords
Dispersive order exponential distribution decreasing failure rate k-out-of-n system proportional hazard rate right spread order skewness star order

Citation

Kochar, Subhash; Xu, Maochao. On the skewness of order statistics in multiple-outlier models. J. Appl. Probab. 48 (2011), no. 1, 271--284. doi:10.1239/jap/1300198149. https://projecteuclid.org/euclid.jap/1300198149


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