Gumbel-weibull distribution: Properties and applications

Raid Al-Aqtash, Carl Lee, Felix Famoye

Research output: Contribution to journalArticlepeer-review

36 Scopus citations

Abstract

Some properties of the Gumbel-Weibull distribution including the mean deviations and modes are studied. A detailed discussion of regions of unimodality and bimodality is given. The method of maximum likelihood is proposed for estimating the distribution parameters and a simulation is conducted to study the performance of the method. Three tests are given for testing the significance of a distribution parameter. The applications of Gumbel- Weibull distribution are emphasized. Five data sets are used to illustrate the flexibility of the distribution in fitting unimodal and bimodal data sets.

Original languageEnglish
Pages (from-to)201-225
Number of pages25
JournalJournal of Modern Applied Statistical Methods
Volume13
Issue number2
DOIs
StatePublished - 2014

Keywords

  • Bimodality
  • Lifetime data
  • Maximum likelihood estimation
  • Mean deviation

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