Stochastic comparisons of series and parallel systems with independent heterogeneous lower-truncated Weibull components

Longxiang Fang, Jie Ling and N. Balakrishnan

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 2, 540-551

Abstract: In this paper, we discuss stochastic comparisons of series and parallel systems with independent heterogeneous lower-truncated Weibull components. When a system with possibly different shape and scale parameters and its matrix of parameters changes to another matrix in a certain mathematical sense, we study the hazard rate order of lifetimes of series systems and the usual stochastic order of lifetimes of parallel systems.

Date: 2016
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DOI: 10.1080/03610926.2015.1099671

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