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The beta Pareto distribution

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  • AHMED HURAIRAH

Abstract

In this paper, we introduce a generalization—referred to as the beta Pareto distribution, generated from the logit of a beta random variable. We provide a comprehensive treatment of the mathematical properties of the beta Pareto distribution. We derive expressions for the kth moments of the distribution, variance, skewness, kurtosis, mean deviation about the mean, mean deviation about the median, Rényi entropy, Shannon entropy. We also discuss simulation issues, estimation of parameters by the methods of moments and maximum likelihood.

Suggested Citation

  • Ahmed Hurairah, 2011. "The beta Pareto distribution," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 12(1), pages 97-114, August.
    • Handle: RePEc:csb:stintr:v:12:y:2011:i:1:p:97-114
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    References listed on IDEAS

    as
    1. Barry W. Brown & Floyd M. Spears & Lawrence B. Levy, 2002. "The log F: A Distribution for All Seasons," Computational Statistics, Springer, vol. 17(1), pages 47-58, March.
    2. M. Jones, 2004. "Families of distributions arising from distributions of order statistics," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 13(1), pages 1-43, June.
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