On the gamma-logistic distribution

Ayman Alzaatreh, Indranil Ghosh, Hassan Said

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


A new generalization of the logistic distribution is defined and studied, namely, the gamma-logistic distribution. Various properties of the gamma-logistic are obtained. The structural analysis of the distribution includes moments, mode, quantiles, skewness, kurtosis, Shannon's entropy and order statistics. The method of maximum likelihood estimation is proposed for estimating the model parameters. For illustrative purposes, a real data set is analyzed as an application of the gamma-logistic distribution.

Original languageEnglish
Pages (from-to)55-70
Number of pages16
JournalJournal of Modern Applied Statistical Methods
Issue number1
Publication statusPublished - Jan 1 2014


  • Gamma-logistic distribution
  • Order statistics
  • Reliability parameter
  • Shannon's entropy
  • T-x family of distributions

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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