Stochastic Orderings of Parallel and Series Systems Consisting of Dependent Multiple-Outlier Components with Proportional Hazards Models under Archimedean Copula

In this work, some stochastic comparisons of parallel and series systems consisting of dependentmultiple-outlier components with proportional hazards models under Archimedean copula as joint distributionare established. Under some conditions on the baseline distribution and the Archimedean copula,the hazard rate, reversed hazard rate and usual stochastic orders between parallel and series systems areproved. The results established here are quite general, and many numerical examples are presented toillustrate all the results.

کلیدواژه ها:

Archimedean copula ، Likelihood ratio order ، Dispersive order ، P-larger order