A new weibull-pareto distribution

Mohammad A. Aljarrah, Felix Famoye, Carl Lee

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


In this article, a new Weibull-Pareto distribution based on the quantile of log-logistic distribution is defined and studied. Various properties of the distribution are discussed. The distribution is found to be unimodal or bimodal and it can be skewed to the right or skewed to the left. The relationships between the parameters and the mean, variance, skewness, and kurtosis are discussed. The expressions for the moments, mean deviation, and entropy are obtained. The method of maximum likelihood is proposed to estimate the parameters of the distribution. Two real data sets are applied to illustrate the flexibility of the distribution.

Original languageEnglish
Pages (from-to)4077-4095
Number of pages19
JournalCommunications in Statistics - Theory and Methods
Issue number19
StatePublished - Oct 2 2015


  • Beta-family
  • Entropy
  • Hazard function
  • Moments


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