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Demonstrates stochastic comparisons of fail-safe systems, revealing insights into their lifetime distributions and ordering implications.
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.
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Barmalzan et al. (2022) studied this question.
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