Ordering of series and parallel systems comprising heterogeneous generalized modified Weibull components

被引：13

作者：

Balakrishnan, Narayanaswamy ^{[1
]}

Nanda, Phalguni ^{[2
]}

Kayal, Suchandan ^{[2
]}

机构：

[1] McMaster Univ, Dept Math & Stat, Hamilton, ON, Canada

[2] Natl Inst Technol Rourkela, Dept Math, Rourkela 769008, India

来源：

APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY | 2018年 / 34卷 / 06期

关键词：

likelihood ratio order; majorization; order statistics; series and parallel systems; stochastic orders; STOCHASTIC COMPARISONS; STATISTICS; POPULATIONS; MAXIMA; FAMILY;

D O I：

10.1002/asmb.2353

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we deal with comparisons of the smallest and largest order statistics arising from independent heterogeneous generalized modified Weibull random variables in terms of various stochastic orderings. The main results established here are based on (i) vector majorization of parameters and (ii) multivariate chain majorization with heterogeneity in two and three parameters.

引用

页码：816 / 834

页数：19

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