Orderings of fail-safe systems with distribution-free components under random shocks | ||
| Journal of Statistical Modelling: Theory and Applications | ||
| دوره 4، شماره 1، فروردین 2023، صفحه 107-127 اصل مقاله (196.39 K) | ||
| نوع مقاله: Original Scientific Paper | ||
| شناسه دیجیتال (DOI): 10.22034/jsmta.2023.3361 | ||
| نویسندگان | ||
| Bahareh Emami1؛ Habib Jafari* 1؛ Ghobad Saadat Kia2 | ||
| 1Department of Statistics, Razi University, Kermanshah, Iran | ||
| 2Department of Basic Science, Kermanshah University of Technology, Kermanshah, Iran | ||
| چکیده | ||
| Often, reliability systems suffer shocks from external stress factors, stressing the system at random. These random shocks may have non-ignorable effects on the reliability of the system. In this paper, we provide sufficient and necessary conditions on components' lifetimes and their survival probabilities from random shocks for comparing the lifetimes of two fail-safe systems in two cases: (i) when components are independent, and then (ii) when components are dependent. We then apply the results for some distribution-free random variables with possibly different parameters to illustrate the established results. | ||
| کلیدواژهها | ||
| Archimedean copula؛ Distribution-free random variables؛ Fail-safe systems؛ Random shocks؛ Stochastic orders | ||
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آمار تعداد مشاهده مقاله: 150 تعداد دریافت فایل اصل مقاله: 128 |
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