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From Lognormal Distribution To Power Law: A New Classification Of The Size Distributions

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  • LUCIEN BENGUIGUI

    (Solid State Institute and Department of Physics, Technion-Israel Institute of Technology 32000, Haifa, Israel)

  • EFRAT BLUMENFELD-LIEBERTHAL

    (Faculty of Architecture and Town Planning, Technion-Israel Institute of Technology 32000, Haifa, Israel)

Abstract

We propose a new classification of the size distributions of entities based on an exponent α defined from the shape of the log–log Rank Size plot. From an inspection of a large number of cases in different fields, one finds three possibilities:α = 1giving a power law,α > 1(parabola like curve) and0

Suggested Citation

  • Lucien Benguigui & Efrat Blumenfeld-Lieberthal, 2006. "From Lognormal Distribution To Power Law: A New Classification Of The Size Distributions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(10), pages 1429-1436.
    • Handle: RePEc:wsi:ijmpcx:v:17:y:2006:i:10:n:s0129183106009953
    DOI: 10.1142/S0129183106009953
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    Cited by:

    1. Lambiotte, R. & Ausloos, M. & Thelwall, M., 2007. "Word statistics in Blogs and RSS feeds: Towards empirical universal evidence," Journal of Informetrics, Elsevier, vol. 1(4), pages 277-286.
    2. García-Miguel, Carmen & San Martín, Jesús, 2021. "Covering fractals with constant radius tiles: Distribution functions and their implications for resource management," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).

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    Keywords

    Size distribution;

    Statistics

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