Intriguing yet simple skewness: kurtosis relation in economic and demographic data distributions,pointing to preferential attachment processes |
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| Authors: | Marcel Ausloos Roy Cerqueti |
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| Institution: | 1. School of Business, University of Leicester, Leicester, UK;2. GRAPES – Group of Researchers for Applications of Physics in Economy and Sociology, Angleur, Belgium;3. Department of Economics and Law, University of Macerata, Macerata, Italy |
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| Abstract: | In this paper, we propose that relations between high-order moments of data distributions, for example, between the skewness (S) and kurtosis (K), allow to point to theoretical models with understandable structural parameters. The illustrative data concern two cases: (i) the distribution of income taxes and (ii) that of inhabitants, after aggregation over each city in each province of Italy in 2011. Moreover, from the rank-size relationship, for either S or K, in both cases, it is shown that one obtains the parameters of the underlying (hypothetical) modeling distribution: in the present cases, the 2-parameter Beta function, itself related to the Yule–Simon distribution function, whence suggesting a growth model based on the preferential attachment process. |
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| Keywords: | Skewness kurtosis power law economic data demographic data preferential attachment process model |
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