Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/42919
Title: On the use of the Pareto ArcTan distribution for describing city size in Australia and New Zealand
Authors: Gómez Déniz, Emilio 
Calderín Ojeda, Enrique
UNESCO Clasification: 1209 Estadística
Keywords: Distribución
Issue Date: 2015
Publisher: 0378-4371
Journal: Physica A: Statistical Mechanics and its Applications 
Abstract: The circular inverse of the tangent function is used to simply derive a generalization of the Pareto distribution, the Pareto ArcTan (PAT) distribution. This model includes as limiting cases Pareto and Zipf distributions. This new probabilistic family is used to describe city size data for Australia and New Zealand. Urban agglomerations of these two countries presents similar features, a few large metropolitan areas with a steadily increasing population in the last years and many small cities. The PAT distribution improves the performance of other traditionally used models in urban agglomeration economics such as the classical Pareto, lognormal and the recently proposed Pareto positive stable.
URI: http://hdl.handle.net/10553/42919
ISSN: 0378-4371
DOI: 10.1016/j.physa.2015.02.097
Source: Physica A: Statistical Mechanics and its Applications[ISSN 0378-4371],v. 436, p. 821-832
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