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On the parametric description of the French, German, Italian and Spanish city size distributions

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  • Puente-Ajovin, Miguel
  • Ramos, Arturo

Abstract

We study the parametric description of the city size distribution of four European countries: France, Germany, Italy and Spain. The parametric models used are the lognormal, the double Pareto lognormal, the normal-Box-Cox (defined in this paper) and the threshold double Pareto Singh--Maddala (introduced in a cited recent paper when studying US city size). The results are quite regular. The preferred model is always the threshold double Pareto Singh--Maddala in the four countries. However, the dPln is not rejected always for the case of France, and in the case of Italy the dPln is the runner-up distribution. These results complement those obtained in a cited recent paper which study the US places' city size distribution.

Suggested Citation

  • Puente-Ajovin, Miguel & Ramos, Arturo, 2014. "On the parametric description of the French, German, Italian and Spanish city size distributions," MPRA Paper 55285, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:55285
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    References listed on IDEAS

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    Cited by:

    1. 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.
    2. repec:eee:eneeco:v:66:y:2017:i:c:p:182-193 is not listed on IDEAS
    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. 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.
    5. Ramos, Arturo & Sanz-Gracia, Fernando, 2015. "US city size distribution revisited: Theory and empirical evidence," MPRA Paper 64051, University Library of Munich, Germany.
    6. Calderín-Ojeda, Enrique, 2016. "The distribution of all French communes: A composite parametric approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 385-394.

    More about this item

    Keywords

    European city size distributions; population thresholds; lower and upper tails; new statistical distribution;

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions
    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General

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