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Statistics
A Journal of Theoretical and Applied Statistics
Volume 42, 2008 - Issue 6
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Original Articles

The beta-Pareto distribution

Alfred Akinsete Department of Mathematics, Marshall University, Huntington, WV, USA
,
Felix Famoye Department of Mathematics, Central Michigan University, Mount Pleasant, MI, USACorrespondence[email protected] [email protected]
&
Carl Lee Department of Mathematics, Central Michigan University, Mount Pleasant, MI, USA
Pages 547-563 | Received 05 Oct 2006, Accepted 21 Jan 2008, Published online: 20 Oct 2008
 
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Abstract

In this paper, a four-parameter beta-Pareto distribution is defined and studied. Various properties of the distribution are discussed. The distribution is found to be unimodal and has either a unimodal or a decreasing hazard rate. The expressions for the mean, mean deviation, variance, skewness, kurtosis and entropies are obtained. The relationship between these moments and the parameters are provided. The method of maximum likelihood is proposed to estimate the parameters of the distribution. The distribution is applied to two flood data sets.

AMS Classification :

Acknowledgements

The authors express their gratefulness to the referees for valuable comments and suggestions which have enhanced the paper.

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