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The Distributions in Nature and Entropy Principle

Turkish Economic Review

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Title The Distributions in Nature and Entropy Principle
 
Creator KAFRI, Oded; Kafri Nihul Ltd., Tel Aviv 68165 Israel..
+9 725 259 925 01
kafri.entropy@gmail.com
 
Subject Maximum Entropy; Long tail distribution; 20:80 Pareto's rule; Zipf Law; Benford's law; Bell-like distribution.
C62.
 
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.
 
Publisher Turkish Economic Review
Turkish Economic Review
 
Contributor
 
Date 2016-12-18
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion

 
Format application/pdf
 
Identifier http://www.kspjournals.org/index.php/TER/article/view/1122
10.1453/ter.v3i4.1122
 
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
 
Language eng
 
Relation http://www.kspjournals.org/index.php/TER/article/view/1122/1071
 
Rights Copyright (c) 2017 Turkish Economic Review
http://creativecommons.org/licenses/by-nc/4.0