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.
Publié le : 2011-03-15
Classification:
Dispersive order,
exponential distribution,
decreasing failure rate,
k-out-of-n system,
proportional hazard rate,
right spread order,
skewness,
star order,
60E15,
62N05,
62G30,
62D05
@article{1300198149,
author = {Kochar, Subhash and Xu, Maochao},
title = {On the skewness of order statistics in multiple-outlier models},
journal = {J. Appl. Probab.},
volume = {48},
number = {1},
year = {2011},
pages = { 271-284},
language = {en},
url = {http://dml.mathdoc.fr/item/1300198149}
}
Kochar, Subhash; Xu, Maochao. On the skewness of order statistics in multiple-outlier models. J. Appl. Probab., Tome 48 (2011) no. 1, pp. 271-284. http://gdmltest.u-ga.fr/item/1300198149/