Representations of the inactivity time for coherent systems with heterogeneous components and some ordered properties

Zhengcheng Zhang () and N. Balakrishnan ()

Metrika: International Journal for Theoretical and Applied Statistics, 2016, vol. 79, issue 1, 113-126

Abstract: In this paper, we present several useful mixture representations for the reliability function of the inactivity time of systems with heterogeneous components based on order statistics, signatures and mean reliability functions. Some stochastic comparisons of inactivity times between two systems are discussed. These results form nice extensions of some existing results for the case when the components are independent and identically distributed. Copyright Springer-Verlag Berlin Heidelberg 2016

Keywords: Mixture; Heterogeneous variables; Stochastic orders; Signature; Inactivity time; Mean reliability function (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:spr:metrik:v:79:y:2016:i:1:p:113-126

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DOI: 10.1007/s00184-015-0546-8

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