Distribution-Free Comparisons of Coherent Systems

Abstract

The distribution-free stochastic comparisons of coherent systems is a relevant topic in the reliability Theory. Several techniques have been used to obtain such comparisons. In this paper, we review of the comparison results obtained by using signatures and distorted distributions under different assumptions for the components. These assumptions include the cases of independent and identically distributed (IID) components, exchangeable (EXC) components, independent non-identically distributed (INID) components, possibly dependent identically distributed (DID) components and arbitrary possibly dependent components (DNID).