Ordering results for the smallest and largest order statistics from independent heterogeneous exponential–Weibull random variables

Abstract

ABSTRACTIn this paper, we discuss stochastic comparisons of the smallest and largest order statistics from independent heterogeneous exponential–Weibull random variables. Let be independent random variables with Further, let be another set of independent random variables with First, when and a matrix with different parameters changes to another matrix in the sense of multivariate chain majorization and row majorization, we investigate the usual stochastic order of the largest order statistics. Next, when and , we establish the usual stochastic order of the largest and smallest order statistics. Finally, we provide sufficient conditions for the hazard rate order of the smallest order statistics.