IJPAM: Volume 92, No. 2 (2014)
AN EVALUATION OF PARETO, LOGNORMAL
AND PPS DISTRIBUTIONS




S.R.M. Medical College and Research Centre
Kattankulathur, 603 203, INDIA

S.R.M. University
Kattankulathur, 603 203, INDIA

Department of Mathematics
S.R.M. University
Kattankulathur, 603202, Tamil Nadu, INDIA
Abstract. 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. The new distribution is compared with two classical models: Pareto and lognormal distribution. In all the data sets considered, the Newton’s forward and backward(equal intervals), Lagrange interpolation formula(unequal interval) outperforms the fits of Pareto and lognormal distributions.
Received: December 30, 2013
AMS Subject Classification: 62H10, 62H12
Key Words and Phrases: city-size distribution, Pareto distribution, Pareto Positive Stable law
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DOI: 10.12732/ijpam.v92i2.9 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 92
Issue: 2
Pages: 265 - 278
