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

  • Zheng Wei
  • Baokun Li
  • Tonghui WangEmail author
Chapter
  • 3 Downloads
Part of the Studies in Computational Intelligence book series (SCI, volume 892)

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.

Keywords

Random set Copula Coarsening at random model Joint belief function Jointly monotone of infinite order 

Notes

Acknowledgments

The authors would like to thank Professor Hung T. Nguyen for introducing this interesting topic to us.

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Copyright information

© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

Authors and Affiliations

  1. 1.Department of Mathematical SciencesNew Mexico State UniversityLas CrucesUSA
  2. 2.School of StatisticsSouthwestern University of Finance and EconomyChengduChina
  3. 3.Department of Mathematics and StatisticsUniversity of MaineOronoUSA

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