Intriguing yet simple skewness: kurtosis relation in economic and demographic data distributions, pointing to preferential attachment processes
Journal article
Ausloos, M. and Cerqueti, R. (2018). Intriguing yet simple skewness: kurtosis relation in economic and demographic data distributions, pointing to preferential attachment processes. Journal of Applied Statistics. 45 (12), pp. 2202-2218. https://doi.org/10.1080/02664763.2017.1413077
Authors | Ausloos, M. and Cerqueti, R. |
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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. This is an Accepted Manuscript of an article published by Taylor & Francis in Journal of Applied Statistics on [date of publication], available online: http://www.tandfonline.com/10.1080/02664763.2017.1413077. |
Year | 2018 |
Journal | Journal of Applied Statistics |
Journal citation | 45 (12), pp. 2202-2218 |
Publisher | Informa UK Limited |
ISSN | 0266-4763 |
Digital Object Identifier (DOI) | https://doi.org/10.1080/02664763.2017.1413077 |
Publication dates | |
10 Sep 2018 | |
Online | 15 Dec 2017 |
Publication process dates | |
Accepted | 25 Nov 2017 |
Deposited | 28 Feb 2020 |
Accepted author manuscript | License File Access Level Open |
https://openresearch.lsbu.ac.uk/item/892yy
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