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

Balakrishnan Narayanaswamy; Nanda Phalguni; Kayal Suchandan

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

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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.

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来源
《Applied stochastic models in business and industry》 |2018年第6期|816-834|共19页
作者
Balakrishnan Narayanaswamy; Nanda Phalguni; Kayal Suchandan;
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作者单位

Natl Inst Technol Rourkela, Dept Math, Rourkela 769008, India;

McMaster Univ, Dept Math & Stat, Hamilton, ON, Canada;

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原文格式 PDF
正文语种英语
中图分类应用数学;
关键词
likelihood ratio order; majorization; order statistics; series and parallel systems; stochastic orders;

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

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