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Are the log-growth rates of city sizes normally distributed? Empirical evidence for the US

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  • Ramos, Arturo

Abstract

We study the decennial log-growth population rate distributions of the US incorporated places (resp., all places) for the period 1990-2000 (resp. 2000-2010) and the recently constructed US City Clustering Algorithm (CCA) population data in the period 1991-2000. It is obtained an excellent parametric description of these log-growth rates by means of a newly introduced distribution called “double mixture exponential Generalized Beta 2”. The normal distribution is not the one empirically observed for the same datasets.

Suggested Citation

  • Ramos, Arturo, 2015. "Are the log-growth rates of city sizes normally distributed? Empirical evidence for the US," MPRA Paper 65584, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:65584
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    References listed on IDEAS

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    Cited by:

    1. Ramos, Arturo, 2015. "Log-growth distributions of US city sizes and non-Lévy processes," MPRA Paper 66561, University Library of Munich, Germany.
    2. Puente-Ajovin, Miguel & Ramos, Arturo, 2015. "An improvement over the normal distribution for log-growth rates of city sizes: Empirical evidence for France, Germany, Italy and Spain," MPRA Paper 67471, University Library of Munich, Germany.
    3. 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.

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    More about this item

    Keywords

    urban log-growth rates distribution; exponential distribution; exponential Generalized Beta 2 distribution; US 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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