A new method for generating families of continuous distributions

Ayman Alzaatreh, Carl Lee, Felix Famoye

Research output: Contribution to journalArticlepeer-review

493 Scopus citations


In this paper, a new method is proposed for generating families of continuous distributions. A random variable X, "the transformer", is used to transform another random variable T, "the transformed". The resulting family, the T-X family of distributions, has a connection with the hazard functions and each generated distribution is considered as a weighted hazard function of the random variable X. Many new distributions, which are members of the family, are presented. Several known continuous distributions are found to be special cases of the new distributions.

Original languageEnglish
Pages (from-to)63-79
Number of pages17
Issue number1
StatePublished - Jun 2013


  • Beta-family
  • Entropy
  • Generalized distribution
  • Hazard function
  • Pearson system
  • Shannon entropy


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