Multivariate stochastic comparisons of multivariate mixture models and their applications

In this paper, we obtain some conditions to compare multivariate mixture models with respect to some well-known multivariate stochastic orders. We also utilize the established results in reliability theory to compare the vectors of residual life-lengths of live components of (n−k+1)(n−k+1)-out-of-nn systems in both one sample and two samples situations.