Intriguing yet simple skewness: kurtosis relation in economic and demographic data distributions, pointing to preferential attachment processes
Marcel Ausloos
Roy Cerqueti
2381/40903
https://figshare.le.ac.uk/articles/journal_contribution/Intriguing_yet_simple_skewness_kurtosis_relation_in_economic_and_demographic_data_distributions_pointing_to_preferential_attachment_processes/10242647
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.
2018-01-17 09:48:03
Skewness
kurtosis
power law
economic data
demographic data
preferential attachment process model