地区财富不平等研究：以意大利为例
Studies on Regional Wealth Inequalities: the case of Italy
AI总结：
本文通过分析意大利2007-2011年的地区财富数据，探讨地区间财富不平等现象，采用多种统计图表和指标计算方法，揭示意大利地区经济差异显著，特别讨论了莫利塞地区的案例。
摘要：
本文简要回顾了近年来关于地区财富不平等的研究技术，并介绍了未发表的特征。数据涉及意大利（IT），时间为2007-2011年：各地区城市数量、各地区及城市人口数量，以及各城市和地区的总税收收入。展示了频率-大小图、累积分布函数图、散点图和等级-大小图。讨论了几个案例的等级-大小规则。将年度总税收收入数据转换为几个指标：基尼系数、辛普森指数和赫芬达尔-赫希曼指数。数值结果证实意大利被分为非常不同的地区现实。选择一个地区进行简短讨论：莫利塞。还介绍了用于测试数据有效性的“首位数字本福特定律”注释。
英文摘要：
The paper contains a short review of techniques examining regional wealth inequalities based on recently published research work but is also presenting unpublished features. The data pertains to Italy (IT), over the period 2007-2011: the number of cities in regions, the number of inhabitants in cities and in regions, as well as the aggregated tax income of the cities and of regions. Frequency-size plots and cumulative distribution function plots, scatter plots and rank-size plots are displayed. The rank-size rule of a few cases is discussed. Yearly data of the aggregated tax income is transformed into a few indicators: the Gini, Theil, and Herfindahl-Hirschman indices. Numerical results confirm that IT is divided into very different regional realities. One region is selected for a short discussion: Molise. A note on the "first digit Benford law" for testing data validity is presented.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
