Intriguing yet simple skewness: kurtosis relation in economic and demographic data distributions, pointing to preferential attachment processes
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.
|Authors||Ausloos, M. and Cerqueti, R.|
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.
|Journal||Journal of Applied Statistics|
|Journal citation||45 (12), pp. 2202-2218|
|Publisher||Informa UK Limited|
|Digital Object Identifier (DOI)||doi:10.1080/02664763.2017.1413077|
|10 Sep 2018|
|Online||15 Dec 2017|
|Publication process dates|
|Accepted||25 Nov 2017|
|Deposited||28 Feb 2020|
|Accepted author manuscript|
CC BY 4.0
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