Equilibrium distributions and discrete Schur-constant models

Anna Castañer and M Mercè Claramunt
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Anna Castañer: UB - Universitat de Barcelona
M Mercè Claramunt: UB - Universitat de Barcelona

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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.

Keywords: Schur-constant property; discrete stationary-excess operator; discrete equilibrium distri- butions Mathematics Subject Classification (2010): 60E05; 62H05 (search for similar items in EconPapers)
Date: 2017-09-26
Note: View the original document on HAL open archive server: https://hal.science/hal-01593552
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