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Statistics: A Journal of Theoretical and Applied Statistics

Volume 42, Issue 6, 2008

The beta-Pareto distribution

The beta-Pareto distribution

DOI:
10.1080/02331880801983876
Alfred Akinsetea, Felix Famoyeb* & Carl Leeb

pages 547-563

Available online: 20 Oct 2008

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.

Keywords

AMS Classification

 

Details

  • Citation information:
  • Available online: 20 Oct 2008

Author affiliations

  • a Department of Mathematics, Marshall University, Huntington, WV, USA
  • b Department of Mathematics, Central Michigan University, Mount Pleasant, MI, USA

Librarians

Taylor & Francis Group