Measuring multidimensional heterogeneity in emergent social phenomena

IF 2.3 4区 数学 Q1 MATHEMATICS, APPLIED European Journal of Applied Mathematics Pub Date : 2024-03-25 DOI:10.1017/s0956792524000081
Giuseppe Toscani
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Abstract

Measuring inequalities in a multidimensional framework is a challenging problem, which is common to most field of science and engineering. Nevertheless, despite the enormous amount of researches illustrating the fields of application of inequality indices, and of the Gini index in particular, very few consider the case of a multidimensional variable. In this paper, we consider in some details a new inequality index, based on the Fourier transform, that can be fruitfully applied to measure the degree of inhomogeneity of multivariate probability distributions. This index exhibits a number of interesting properties that make it very promising in quantifying the degree of inequality in datasets of complex and multifaceted social phenomena.
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测量新兴社会现象的多维异质性
在多维框架下测量不平等是一个具有挑战性的问题,这在大多数科学和工程领域都很常见。然而,尽管有大量研究说明了不平等指数,特别是基尼指数的应用领域,但很少有研究考虑到多维变量的情况。在本文中,我们将详细介绍一种基于傅立叶变换的新不平等指数,它可以有效地用于测量多元概率分布的不均匀程度。该指数表现出许多有趣的特性,使其在量化复杂和多层面社会现象数据集中的不平等程度方面大有可为。
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来源期刊
CiteScore
4.70
自引率
0.00%
发文量
31
审稿时长
>12 weeks
期刊介绍: Since 2008 EJAM surveys have been expanded to cover Applied and Industrial Mathematics. Coverage of the journal has been strengthened in probabilistic applications, while still focusing on those areas of applied mathematics inspired by real-world applications, and at the same time fostering the development of theoretical methods with a broad range of applicability. Survey papers contain reviews of emerging areas of mathematics, either in core areas or with relevance to users in industry and other disciplines. Research papers may be in any area of applied mathematics, with special emphasis on new mathematical ideas, relevant to modelling and analysis in modern science and technology, and the development of interesting mathematical methods of wide applicability.
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