On stochastic comparisons of minimum order statistics from the location–scale family of distributions

Abstract

We consider stochastic comparisons of minimum order statistics from the location�scale family of distributions that contain most of the popular lifetime distributions. Under certain assumptions, we show that the minimum order statistic of one set of random variables dominates that of another set of random variables with respect to different stochastic orders. Furthermore, we illustrate our results using some well-known specific distributions. � 2017, Springer-Verlag GmbH Germany, part of Springer Nature.