The Distributions in Nature and Entropy Principle

Oded Kafri ()
Additional contact information
Oded Kafri: Kafri Nihul Ltd., Tel Aviv, Israel.

Turkish Economic Review, 2016, vol. 3, issue 4, 542-550

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 (search for similar items in EconPapers)
JEL-codes: C62 (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.kspjournals.org/index.php/TER/article/download/1122/1071 (application/pdf)
http://www.kspjournals.org/index.php/TER/article/view/1122 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ksp:journ2:v:3:y:2016:i:4:p:542-550

Access Statistics for this article

Turkish Economic Review is currently edited by Bilal KARGI

More articles in Turkish Economic Review from KSP Journals Istanbul, Turkey.
Bibliographic data for series maintained by Bilal KARGI ( this e-mail address is bad, please contact ).