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Addenda to “Are the log-growth rates of city sizes distributed normally? Empirical evidence for the USA [Empir. Econ. (2017) 53:1109-1123]”

Ramos, Arturo (2019): Addenda to “Are the log-growth rates of city sizes distributed normally? Empirical evidence for the USA [Empir. Econ. (2017) 53:1109-1123]”.

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Abstract

We update the recently published paper [A. Ramos, Empir. Econ. (2017) 53:1109-1123] on the basis of another important paper [H. S. Kwong and S. Nadarajah, Physica A (2019) 513:55-62]. Specifically, we introduce the 3-normal (3N) and 3-logistic (3L) distributions and compare them with the best of our distributions in the firstly mentioned paper, namely the "double mixture exponential Generalized Beta of the second kind (dmeGB2)". The main result is that the dmeGB2 remains to be the best model when studying log-growth rates of USA city populations to date. However, if one does not want to achieve such a high precision when describing the data, the 3L emerges to be a very good model for the same purposes.

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