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Zheng Wei

New Mexico State University



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Tonghui Wang

New Mexico State University



602 – Distribution Theory

The Joint Distribution of Discrete Random Sets and Its Conncetions to Subcopulas

Sponsor: IMS
Keywords: Bivariate random set, copula, Subcopula, joint belief function, jointly monotone of infinite order

Zheng Wei

New Mexico State University

Tonghui Wang

New Mexico State University

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 belief function of discrete bivariate random sets through copula is given. Conversely, subcopulas can be obtained from the bivariate belief functions. For illustration of main results, several examples are given.

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