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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]”

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  • Ramos, Arturo

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.

Suggested Citation

  • 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]”," MPRA Paper 93032, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:93032
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    References listed on IDEAS

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    1. Gilles Duranton, 2007. "Urban Evolutions: The Fast, the Slow, and the Still," American Economic Review, American Economic Association, vol. 97(1), pages 197-221, March.
    2. Hernán D. Rozenfeld & Diego Rybski & Xavier Gabaix & Hernán A. Makse, 2011. "The Area and Population of Cities: New Insights from a Different Perspective on Cities," American Economic Review, American Economic Association, vol. 101(5), pages 2205-2225, August.
    3. Luckstead, Jeff & Devadoss, Stephen, 2017. "Pareto tails and lognormal body of US cities size distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 573-578.
    4. Kwong, Hok Shing & Nadarajah, Saralees, 2019. "A note on “Pareto tails and lognormal body of US cities size distribution”," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 55-62.
    5. McDonald, James B. & Xu, Yexiao J., 1995. "A generalization of the beta distribution with applications," Journal of Econometrics, Elsevier, vol. 69(2), pages 427-428, October.
    6. B. D. McCullough & H. D. Vinod, 2003. "Verifying the Solution from a Nonlinear Solver: A Case Study," American Economic Review, American Economic Association, vol. 93(3), pages 873-892, June.
    7. Arturo Ramos, 2017. "Are the log-growth rates of city sizes distributed normally? Empirical evidence for the USA," Empirical Economics, Springer, vol. 53(3), pages 1109-1123, November.
    8. Luckstead, Jeff & Devadoss, Stephen & Danforth, Diana, 2017. "The size distributions of all Indian cities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 237-249.
    9. James B. McDonald, 2008. "Some Generalized Functions for the Size Distribution of Income," Economic Studies in Inequality, Social Exclusion, and Well-Being, in: Duangkamon Chotikapanich (ed.), Modeling Income Distributions and Lorenz Curves, chapter 3, pages 37-55, Springer.
    10. Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-333, March.
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    More about this item

    Keywords

    log-growth rates; normal distribution; logistic distribution; GB2 distribution; USA population log-growth rates;
    All these keywords.

    JEL classification:

    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
    • R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)

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