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Stochastic comparisons of parallel systems with starting devices. (English) Zbl 07649556

Summary: 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.

MSC:

62-XX Statistics
Full Text: DOI

References:

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