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Kafri, O (2009)

The Distributions in Nature and Entropy Principle

CoRR, vol. abs/0907.4852.

ISSN/ISBN: Not available at this time. DOI: Not available at this time.

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.

@article{, title={The Distributions in Nature and Entropy Principle}, author={Oded Kafri}, journal={CoRR}, year={2009}, volume={abs/0907.4852} }

Reference Type: Preprint

Subject Area(s): Physics, Probability Theory, Statistics