标题： 平衡分布和离散Schur-常数模型 显示英文标题

标题： Equilibrium distributions and discrete Schur-constant models

摘要： 本文介绍了维数为n的算术非负随机变量的Schur-constant均衡分布模型。 这种模型通过单变量生存函数的(多个阶次)均衡分布来定义。 首先，考虑并深入分析了二元情况，强调泊松情况的主要特征。 然后将分析扩展到多元情况。 推导出若干性质，包括隐含相关性以及和的分布。 显示英文摘要

摘要： 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.