A Universal Rank-Size Law
Journal article
Ausloos, M. and Cerqueti, R. (2016). A Universal Rank-Size Law. PLoS ONE. 11 (11). https://doi.org/10.1371/journal.pone.0166011
Authors | Ausloos, M. and Cerqueti, R. |
---|---|
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. |
Year | 2016 |
Journal | PLoS ONE |
Journal citation | 11 (11) |
Publisher | Public Library of Science (PLoS) |
ISSN | 1932-6203 |
Digital Object Identifier (DOI) | https://doi.org/10.1371/journal.pone.0166011 |
Web address (URL) | https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0166011 |
Publication dates | |
Online | 03 Nov 2016 |
Publication process dates | |
Deposited | 28 Feb 2020 |
Accepted author manuscript | License File Access Level Open |
Permalink -
https://openresearch.lsbu.ac.uk/item/89308
Download files
73
total views61
total downloads0
views this month0
downloads this month