The Distributions in Nature and Entropy Principle
Turkish Economic Review
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Title |
The Distributions in Nature and Entropy Principle
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Creator |
KAFRI, Oded; Kafri Nihul Ltd., Tel Aviv 68165 Israel.. +9 725 259 925 01 kafri.entropy@gmail.com |
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Subject |
Maximum Entropy; Long tail distribution; 20:80 Pareto's rule; Zipf Law; Benford's law; Bell-like distribution.
C62. |
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Description |
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.Keywords. Maximum Entropy, Long tail distribution, 20:80 Pareto's rule, Zipf Law, Benford's law, Bell-like distribution.JEL. C62.
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Publisher |
Turkish Economic Review
Turkish Economic Review |
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Contributor |
—
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Date |
2016-12-18
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Type |
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion — |
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Format |
application/pdf
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Identifier |
http://www.kspjournals.org/index.php/TER/article/view/1122
10.1453/ter.v3i4.1122 |
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Source |
Turkish Economic Review; Vol 3, No 4 (2016): December; 542-550
Turkish Economic Review; Vol 3, No 4 (2016): December; 542-550 2149-0414 |
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Language |
eng
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Relation |
http://www.kspjournals.org/index.php/TER/article/view/1122/1071
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Rights |
Copyright (c) 2017 Turkish Economic Review
http://creativecommons.org/licenses/by-nc/4.0 |
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