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Statistical and Fuzzy Approaches to Data Processing, with Applications to Econometrics and Other Areas pp 247–265Cite as

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

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Part of the book series: Studies in Computational Intelligence ((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.

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Acknowledgments

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

Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM, USA

    Zheng Wei & Tonghui Wang

  2. School of Statistics, Southwestern University of Finance and Economy, Chengdu, China

    Baokun Li

  3. Department of Mathematics and Statistics, University of Maine, Orono, ME, USA

    Zheng Wei

Authors
  1. Zheng Wei
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  2. Baokun Li
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  3. Tonghui Wang
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Corresponding author

Correspondence to Tonghui Wang .

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Editors and Affiliations

  1. Department of Computer Science, University of Texas at El Paso, El Paso, TX, USA

    Vladik Kreinovich

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Wei, Z., Li, B., Wang, T. (2021). The Joint Distribution of the Discrete Random Set Vector and Bivariate Coarsening at Random Models. In: Kreinovich, V. (eds) Statistical and Fuzzy Approaches to Data Processing, with Applications to Econometrics and Other Areas. Studies in Computational Intelligence, vol 892. Springer, Cham. https://doi.org/10.1007/978-3-030-45619-1_19

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