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Stochastic Comparison of Extreme Order Statistics Corresponding to Two Sets of Dependent Scale Additive Hazard Rate Model Random Variables under Random Shocks
Marzieh Shekari * , Ghobad Saadat Kia
Abstract:   (114 Views)
In this article, we investigate stochastic comparisons of the lifetimes of series and parallel systems comprising components following the scale-additive hazard rate model, subject to random shocks, where dependence among component lifetimes is modeled via Archimedean copulas. By imposing suitable conditions on the baseline distribution, model parameters, generator functions, and shock occurrence probabilities, we establish sufficient criteria for comparing the lifetimes of two systems under both the usual stochastic order and the hazard rate order. The results demonstrate how parameter heterogeneity and dependence structure simultaneously influence system reliability. Several numerical examples are also provided to substantiate the theoretical findings.
Keywords: Usual Stochastic Order, Hazrad Rate Order, Extreme Order Statistics, Additive Hazard Rate Model, Archimedean Copulas, Random Shocks
Full-Text [PDF 381 kb]   (112 Downloads)    
Type of Study: Research | Subject: Theoritical Statistics
Received: 2025/11/22 | Accepted: 2026/09/1
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