The Joint Distribution of the Discrete Random Set Vector and Bivariate Coarsening at Random Models

Abstract

In this paper, the characterization of the joint distribution of random set vector by the belief function is investigated. A method for constructing the joint distribution of discrete bivariate random sets through copula is given, and a routine of calculating the corresponding bivariate coarsening at random model of finite random sets is obtained. Several examples are given to illustrate our results.