Stochastic comparisons of parallel systems with starting devices

Ghobad Barmalzan, Sajad Kosari and Narayanaswamy Balakrishnan

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 1, 170-182

Abstract: In this paper, we consider stochastic comparisons of parallel systems with location-scale distributed components equipped with starting devices. We specifically establish the hazard rate order of parallel systems with two location-scale distributed components equipped with starting devices when the starting devices have different probabilities but with the same location-scale distributed component. Next, we present the usual stochastic order of parallel systems with n location-scale distributed components equipped with starting devices. We also provide some numerical examples to illustrate all the comparison results established here.

Date: 2023
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DOI: 10.1080/03610926.2021.1910841

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