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

In this work, some stochastic comparisons of parallel and series systems consisting of dependentmultiple-outlier components with scale models under Archimedean copula as joint distribution are established.Under some conditions on the baseline distribution and the Archimedean copula, the hazardrate, reversed hazard rate and usual stochastic orders between parallel and series systems are proved. Theresults established here are quite general, and many numerical examples are presented to illustrate all theresults.

کلیدواژه ها:

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