Let be a random vector, and denote by X1:n,X2:n,...,Xn:n the corresponding order statistics. When X1,X2,...,Xn represent the lifetimes of n components in a system, the order statistic Xn-k+1:n represents the lifetime of a k-out-of-n system (i.e., a system which works when at least k...

In the framework of multicriteria decision aid, a lot of interest has been devoted to sorting problems, in which the set of categories is pre-defined. Besides, preference oriented multicriteria clustering has received little attention. Usual geometric and related metrics are not well suited for...

In this paper, we introduce the concepts of average and projected systems associated to a coherent (parent) system. We analyze several aspects of these notions and show that they can be useful tools in studying the performance of coherent systems with non-exchangeable components. We show that...

In this paper we study the relationships between copulas of order statistics from heterogeneous samples and the marginal distributions of the parent random variables. Specifically, we study the copula of the order statistics obtained from a general random vector . We show that the copula of the...

We extend some ordering properties for coherent systems with independent and identically distributed components given by Kochar et al. (Naval Res. Logist. 46 (1999) 507) to coherent systems with (possibly) dependent components by using the concept of Samaniego's signatures.

A general procedure to characterize bivariate absolutely continuous distributions by using the bivariate failure (hazard) rate function is obtained. The theoretical results are illustrated by obtaining new characterizations of some probability models including the bivariate Gumbel exponential...