Weighted modified Weibull distribution

Muhammad Nauman Khan, Anwaar Saeed, Ayman Yousef Abdelfattah Alzaatreh

Research output: Contribution to journalArticlepeer-review


A profusion of new classes of distributions has recently showed its usefulness to applied statisticians working in various areas of studies. Generalizing existing distributions by adding extra parameters to an existing family of distribution functions leads to more flexible models. In this article, we define a new three-parameter lifetime model called the weighted modified Weibull distribution. Various statistical properties of the distribution are derived. The estimation of parameters is discussed by using the method of maximum likelihood. Finally, the superiority of the proposed distribution is shown by analyzing four well-known lifetime datasets.

Original languageEnglish
Article numberJTE20170370
JournalJournal of Testing and Evaluation
Issue number5
Publication statusPublished - Sep 1 2019


  • Generalized distributions
  • Meijer's G-function
  • Modified Weibull distribution
  • Real datasets
  • α-power transformation

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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