The idea for this book came from the time the authors spent at the Statistics and Applied
Mathematical Sciences Institute (SAMSI) in Research Triangle Park in North Carolina …

In this chapter we study stochastic orders that compare the “location” or the “magnitude” of
random variables. The most important and common orders that are considered in this …

In this paper, we obtain ordering properties for coherent systems with possibly dependent
identically distributed components. These results are based on a representation of the …

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 …

Signature-based representations of the reliability functions of coherent systems with
independent and identically distributed component lifetimes have proven very useful in …

In this paper, we study reliability properties of a k-out-of-n system with a single cold standby
unit. We mainly focus on the case when the system operates in discrete time. In order to …

In this paper we first point out a simple observation that can be used successfully in order to
translate results about the hazard rate order into results about the reversed hazard rate …

In this article, we give several results on (multivariate and univariate) stochastic comparisons
of generalized order statistics. We give conditions on the underlying distributions and the …

Some stochastic comparisons of conditional coherent systems Page 1 APPLIED STOCHASTIC
MODELS IN BUSINESS AND INDUSTRY Appl. Stochastic Models Bus. Ind. 2008; 24:541–549 …

Developed sequential order statistics (DSOS) are very useful in modeling the lifetimes of
systems with dependent components, where the failure of one component affects the …