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Orderings of fail-safe systems with components having Marshall-Olkin-Harris lifetime distributions

Ghobad Barmalzan, Abbas Akrami, Ali Akbar Hosseinzadeh and Narayanaswamy Balakrishnan

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 19, 7022-7040

Abstract: In this paper, we discuss stochastic comparisons of two fail-safe systems in two different directions. First, we present sufficient conditions for the usual stochastic order between two fail-safe systems have different lifetime distributions but with the same Archimedean copula for their joint distribution. Next, hazard rate orderings of two fail-safe systems with independent components following multiple-outlier models are established. Several illustrative examples are also presented.

Date: 2023
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DOI: 10.1080/03610926.2022.2037648

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