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Pareto tails and lognormal body of US cities size distribution

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  • Luckstead, Jeff
  • Devadoss, Stephen

Abstract

We consider a distribution, which consists of lower tail Pareto, lognormal body, and upper tail Pareto, to estimate the size distribution of all US cities. This distribution fits the data more accurately than a distribution that comprises of only lognormal and the upper tail Pareto.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:465:y:2017:i:c:p:573-578
    DOI: 10.1016/j.physa.2016.08.061
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    References listed on IDEAS

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    9. 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.
    10. Rafael González-Val, 2019. "US city-size distribution and space," Spatial Economic Analysis, Taylor & Francis Journals, vol. 14(3), pages 283-300, July.
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    15. Tomaschitz, Roman, 2020. "Multiply broken power-law densities as survival functions: An alternative to Pareto and lognormal fits," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
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    17. Josic Hrvoje & Bašić Maja, 2018. "Reconsidering Zipf’s law for regional development: The case of settlements and cities in Croatia," Miscellanea Geographica. Regional Studies on Development, Sciendo, vol. 22(1), pages 22-30, March.
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    19. Tomaz Ponce Dentinho, 2017. "Urban Concentration and Spatial Allocation of Rents from natural resources. A Zipf's Curve Approach," REGION, European Regional Science Association, vol. 4, pages 77-86.
    20. Behzod B. Ahundjanov & Sherzod B. Akhundjanov & Botir B. Okhunjanov, 2022. "Power law in COVID‐19 cases in China," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 185(2), pages 699-719, April.
    21. Safari, Muhammad Aslam Mohd & Masseran, Nurulkamal & Ibrahim, Kamarulzaman, 2018. "Optimal threshold for Pareto tail modelling in the presence of outliers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 169-180.
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