The Pareto-Positive Stable (PPS) distribution is introduced as a new model for describing city size data of a region in a country. The PPS distribution provides a flexible model for fitting the entire range of a set of city size data and the classical Pareto and Zipf distributions are included as a particular case.
Vallabados, Christopher A. and Arumugam, Subbarayan A.
"An Evaluation of Pareto, Lognormal and PPS Distributions: The Size Distribution of Cities in Kerala, India,"
Journal of Modern Applied Statistical Methods:
1, Article 41.
Available at: http://digitalcommons.wayne.edu/jmasm/vol15/iss1/41