On the parametric description of log-growth rates of Romanian city sizes

Irina Băncescu, Luminita Chivu, Till Massing, Vasile Preda, Miguel Puente-Ajovín and Arturo Ramos

Physica A: Statistical Mechanics and its Applications, 2024, vol. 643, issue C

Abstract: We consider log-growth rates of Romanian cities’ populations for all cities in the country in the period 1992-2019 on an annual basis. We construct annual, quinquennial and decennial log-growth rates and fit to them thirty-one different statistical distributions. The best results with Kolmogorov–Smirnov, Cramér–von Mises and Anderson–Darling statistics are obtained by a mixture of five stretched Gaussian distributions (5sG) with some fixed parameters, and with the AIC, BIC, HQC information criteria are obtained with mixtures of three logistic distributions (3L), that may have or may have not exponential tails. Just as an illustration, we propose a generating stochastic mechanism for the 3L. Dedicated to Laura Andrés Alcalde

Keywords: Logistic distribution; Student’s t distribution; Stretched Gaussian distribution; Romanian population; Log-growth rates (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:643:y:2024:i:c:s0378437124003273

DOI: 10.1016/j.physa.2024.129818

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