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Equilibrium Distributions and Discrete Schur-constant Models

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  • Anna Castañer

    (Universitat de Barcelona)

  • M. Mercè Claramunt

    (Universitat de Barcelona)

Abstract

This paper introduces Schur-constant equilibrium distribution models of dimension n for arithmetic non-negative random variables. Such a model is defined through the (several orders) equilibrium distributions of a univariate survival function. First, the bivariate case is considered and analyzed in depth, stressing the main characteristics of the Poisson case. The analysis is then extended to the multivariate case. Several properties are derived, including the implicit correlation and the distribution of the sum.

Suggested Citation

  • Anna Castañer & M. Mercè Claramunt, 2019. "Equilibrium Distributions and Discrete Schur-constant Models," Methodology and Computing in Applied Probability, Springer, vol. 21(2), pages 449-459, June.
    • Handle: RePEc:spr:metcap:v:21:y:2019:i:2:d:10.1007_s11009-018-9632-5
    DOI: 10.1007/s11009-018-9632-5
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    References listed on IDEAS

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