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Title: A Universal Rank-Size Law
Authors: Ausloos, Marcel
Cerqueti, R.
First Published: 3-Nov-2016
Publisher: Public Library of Science
Citation: PLoS ONE 11(11): e0166011.
Abstract: A mere hyperbolic law, like the Zipf’s law power function, is often inadequate to describe rank-size relationships. An alternative theoretical distribution is proposed based on theoretical physics arguments starting from the Yule-Simon distribution. A modeling is proposed leading to a universal form. A theoretical suggestion for the “best (or optimal) distribution”, is provided through an entropy argument. The ranking of areas through the number of cities in various countries and some sport competition ranking serves for the present illustrations.
DOI Link: 10.1371/journal.pone.0166011
ISSN: 1932-6203
eISSN: 1932-6203
Version: Publisher Version
Status: Peer-reviewed
Type: Journal Article
Rights: © 2016 Ausloos, Cerqueti. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Description: Data Availability: Our datasets are public and freely available. Two datasets concern ranked countries, even in different sport competitions contexts: Olympic Games in Bejing 2008 and London 2012; soccer federations affiliated to the FIFA. The third dataset is associated of the ranking of provinces in four countries Belgium, Bulgaria, France, Italy (BE, BG, FR, IT) under the criterion of the number of municipalities. Data sources for the new illustrations have been included clearly in the revised version of the paper: for the Olympic Games, see; for the FIFA, see and for how the FIFA ranking coefficient is calculated, see For what concerns the administrative structure of BE, BG, FR, IT, we specify a reference year (2011) to exclude the possibility of biases in the replication of the analysis due to administrative changes.
Appears in Collections:Published Articles, School of Management

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