Multivariate Aging and Archimedean Dependence Structures in High Dimensions

Bivariate aging notions for a vector X of lifetimes based on stochastic comparisons between X and X_t , where X_t is the multivariate residual lifetime after time t > 0, have been studied in Pellerey (2008) under the assumption that the dependence structure in X is described by an Archimedean survival copula. Similar stochastic comparisons between X_t and X_t+s , for all t s > 0, were considered in Mulero and Pellerey (2010). In this article, these results are generalized and extended to the multivariate case. Two illustrative examples are also provided.