Stochastic comparisons of series systems with heterogeneous Gompertz-G components

Marzieh Shekari, Zohreh Pakdaman and Hossein Zamani

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 14, 5146-5167

Abstract: This study compares two different series systems under various scenarios for which the components are assumed to be heterogeneous and follow Gompertz-G distributions. In the first scheme, the components of the systems are supposed to be independently distributed. In the second, we compared two series systems in the case that the independent components also experience random shocks. In the last scenario, we considered a case where the components of the systems have dependent structure sharing Archimedean copula. However, in all scenarios, the comparisons are performed based on the concepts of usual stochastic, the hazard rate, and the likelihood ratio orders through the majorization of the Gompertz-G parameters.

Date: 2024
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DOI: 10.1080/03610926.2023.2209228

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