Comparisons of Parallel Systems According to the Convex Transform Order
Comparisons of Parallel Systems According to the Convex Transform Order
A parallel system with heterogeneous exponential component lifetimes is shown to be more skewed (according to the convex transform order) than the system with independent and identically distributed exponential components. As a consequence, equivalent conditions for comparing the variabilities of the largest order statistics from heterogeneous and homogeneous exponential samples …