The beta-Pareto distribution

Alfred Akinsete, Felix Famoye, Carl Lee

Research output: Contribution to journalArticlepeer-review

142 Scopus citations

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.

Original languageEnglish
Pages (from-to)547-563
Number of pages17
JournalStatistics
Volume42
Issue number6
DOIs
StatePublished - Dec 2008

Keywords

  • Estimation
  • Flood peaks
  • Hazard function
  • Moments
  • Unimodality

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