Extending the Gini Index to Higher Dimensions via Whitening Processes

Gennaro Auricchio, Paolo Giudici, Giuseppe Toscani
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Abstract

Measuring the degree of inequality expressed by a multivariate statistical distribution is a challenging problem, which appears in many fields of science and engineering. In this paper, we propose to extend the well known univariate Gini coefficient to multivariate distributions, by maintaining most of its properties. Our extension is based on the application of whitening processes that possess the property of scale stability.
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通过白化过程将基尼指数扩展到更高维度
测量多元统计分布所表达的不平等程度是一个具有挑战性的问题,它出现在许多科学和工程领域。在本文中,我们建议将众所周知的单变量基尼系数扩展到多变量分布,并保持其大部分特性。我们的扩展基于具有规模稳定性的白化过程的应用。
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