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Intriguing yet simple skewness: kurtosis relation in economic and demographic data distributions, pointing to preferential attachment processes

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journal contribution
posted on 17.01.2018, 09:48 by Marcel Ausloos, Roy Cerqueti
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.

History

Citation

Journal of Applied Statistics, 2018, 45 (12)

Author affiliation

/Organisation/COLLEGE OF SOCIAL SCIENCES, ARTS AND HUMANITIES/School of Business

Version

AM (Accepted Manuscript)

Published in

Journal of Applied Statistics

Publisher

Taylor & Francis (Routledge)

issn

0266-4763

eissn

1360-0532

Acceptance date

25/11/2017

Copyright date

2017

Available date

15/12/2018

Publisher version

http://www.tandfonline.com/doi/full/10.1080/02664763.2017.1413077

Notes

The file associated with this record is under embargo until 12 months after publication, in accordance with the publisher's self-archiving policy. The full text may be available through the publisher links provided above.

Language

en