一种多重幂律函数的推导机制：在经济物理学框架中的应用
A mechanism to derive multi-power law functions: an application in the econophysics framework
摘要：
人们普遍认为，经济系统，更一般地说，复杂系统，其特征在于幂律分布。有时，这些分布在尾部显示斜率的变化，因此，更恰当地说，它们显示多幂律行为。我们提出了一种方法，从一个单一的幂律函数最近获得的，在广义统计力学的框架下的Sharma-Taneja-Mittal信息测度的基础上，解析地推导出一个两个幂律分布。为了检验该方法，我们拟合了几个国家的个人收入和国内生产总值的累积分布，在广泛的数据范围内获得了良好的一致性。
英文摘要：
It is generally recognized that economical systems, and more in general complex systems, are characterized by power law distributions. Sometime, these distributions show a changing of the slope in the tail so that, more appropriately, they show a multi-power law behavior. We present a method to derive analytically a two-power law distribution starting from a single power law function recently obtained, in the frameworks of the generalized statistical mechanics based on the Sharma-Taneja-Mittal information measure. In order to test the method, we fit the cumulative distribution of personal income and gross domestic production of several countries, obtaining a good agreement for a wide range of data.
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