Stochastic comparisons of series and parallel systems with generalized linear failure rate components

In this paper, we discuss stochastic comparisons of series and parallel systems comprising independent and heterogeneous generalized linear failure rate components. When a system with possibly different shape and scale parameters has its matrix of parameters changing to another matrix of parameters in a certain mathematical sense, we examine the usual stochastic order of the smallest and largest order statistics under such a setup. Copyright © 2017 John Wiley & Sons, Ltd.