This textbook provides the tools for a modern post-graduate introductory course on system
reliability theory. It focuses on probabilistic aspects of the theory, including recent results …

Belief reliability is a newly developed, model-based reliability metric which considers both
what we know (expressed as reliability models) and what we don't know (expressed as …

In this paper we investigate different methods that may be used to compare coherent
systems having heterogeneous components. We consider both the case of systems with …

In this manuscript, we adopt a copula-based hierarchical dependent approach to analyze
the redundancy allocation policy and statistical dependence effect on the reliability of two …

The preservation of stochastic orders under the formation of coherent systems is a relevant
topic in the reliability theory. Several properties have been obtained under the assumption of …

The k-out-of-n systems with components having random weights have wide applications in
reliability engineering. In this paper, we implement the study on reliability analysis of k-out-of …

The minimal repair replacement is a reasonable assumption in many practical systems.
Under this assumption a failed component is replaced by another one whose reliability is the …

Modern digital systems pose new challenges to reliability analysts. Systems may exhibit a
non-coherent behavior and time becomes an important element of the analysis due to aging …

In the context of coherent systems, we obtain representations for the reliability function of the
residual lifetime at time t under different assumptions. Specifically, four cases are considered …

Abstract A distribution function FF is a generalized mixture of the distribution functions F_1,
..., F_k F 1,…, F k if F= w_1 F_1+ ...+ w_k F_k F= w 1 F 1+…+ wk F k, where w_1, ..., w_k w …