ournal of Statistical Mechanics: Theory and Experiment A generalized statistical model for the size distribution of wealth
ournal of Statistical Mechanics: Theory and Experiment A generalized statistical model for the size distribution of wealth
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统计力学杂志：理论与实验财富规模分布的广义统计模型
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通讯作者：
J. Alcaniz
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作者：
F. Pereira;R. Silva;J. Alcaniz
.在该杂志的最近一篇论文中（Clementi等人2009 J. Stat. P02037），我们提出了一个新的，物理动机，分布函数的建模个人收入，其根源在框架中的κ -广义统计力学。我们用2003年美国个人收入的真实的数据检验了κ -广义分布的表现。在本文中，我们扩展了我们以前的模型，以便能够解释财富的分配。给出了广义财富分布模型的概率函数和不等式测度的封闭形式。为了检验所提出的模型的有效性，我们分析了1984年至2009年的美国家庭财富分布，并得出了一个很好的协议的数据是上级在文献中已知的任何其他模型。
. In a recent paper in this journal (Clementi et al 2009 J. Stat. Mech. P02037), we proposed a new, physically motivated, distribution function for modeling individual incomes, having its roots in the framework of the κ -generalized statistical mechanics. The performance of the κ -generalized distribution was checked against real data on personal income for the United States in 2003. In this paper we extend our previous model so as to be able to account for the distribution of wealth. Probabilistic functions and inequality measures of this generalized model for wealth distribution are obtained in closed form. In order to check the validity of the proposed model, we analyze the US household wealth distributions from 1984 to 2009 and conclude an excellent agreement with the data that is superior to any other model already known in the literature.