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The Distributions in Nature and Entropy Principle

Author

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  • Oded KAFRI

    (Kafri Nihul Ltd., Tel Aviv, Israel.)

Abstract

The derivation of the maximum entropy distribution of particles in boxes yields two kinds of distributions: a "bell-like" distribution and a long-tail distribution. The first one is obtained when the ratio between particles and boxes is low, and the second one - when the ratio is high. The obtained long tail distribution yields correctly the empirical Zipf law, Pareto's 20:80 rule and Benford's law. Therefore, it is concluded that the long tail and the "bell-like" distributions are outcomes of the tendency of statistical systems to maximize entropy.

Suggested Citation

  • Oded KAFRI, 2016. "The Distributions in Nature and Entropy Principle," Turkish Economic Review, KSP Journals, vol. 3(4), pages 542-550, December.
    • Handle: RePEc:ksp:journ2:v:3:y:2016:i:4:p:542-550
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    References listed on IDEAS

    as
    1. Oded KAFRI, 2016. "Sociological Inequality and the Second Law," Journal of Economic and Social Thought, KSP Journals, vol. 3(4), pages 476-480, December.
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    More about this item

    Keywords

    Maximum Entropy; Long tail distribution; 20:80 Pareto's rule; Zipf Law; Benford's law; Bell-like distribution;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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