Stochastic Comparisons of Series and Parallel Systems with Generalized Exponential Components

This paper examines the problem of the stochastic comparison of series and parallel systems with $s$-independent heterogeneous generalized exponential components. The results established here are developed in three directions. First, we consider a system with possibly different shape and scale parameters, and obtain some ordering results when its matrix of parameters changes to another matrix, in the certain mathematical sense. Next, by using …