A generalization of the weibull distribution with Applications

Maalee Almheidat, Carl Lee, Felix Famoye

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The Lomax-Weibull distribution, a generalization of the Weibull distribution, is characterized by four parameters that describe the shape and scale properties. The distribution is found to be unimodal or bimodal and it can be skewed to the right or left. Results for the non-central moments, limiting behavior, mean deviations, quantile function, and the mode(s) are obtained. The relationships between the parameters and the mean, variance, skewness, and kurtosis are provided. The method of maximum likelihood is proposed for estimating the distribution parameters. The applicability of this distribution to modeling real life data is illustrated by three examples and the results of comparisons to other distributions in modeling the data are also presented.

Original languageEnglish
Pages (from-to)788-820
Number of pages33
JournalJournal of Modern Applied Statistical Methods
Volume15
Issue number2
DOIs
StatePublished - 2016

Keywords

  • Estimation
  • Moments
  • Quantile function
  • Shannon's entropy
  • T-Weibull Y family

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