On the gamma-half normal distribution and its applications

Ayman Alzaatreh, Kristen Knight

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

A new distribution, the gamma-half normal distribution, is proposed and studied. Various structural properties of the gamma-half normal distribution are derived. The shape of the distribution may be unimodal or bimodal. Results for moments, limit behavior, mean deviations and Shannon entropy are provided. To estimate the model parameters, the method of maximum likelihood estimation is proposed. Three real-life data sets are used to illustrate the applicability of the gamma-half normal distribution.

Original languageEnglish
Pages (from-to)103-119
Number of pages17
JournalJournal of Modern Applied Statistical Methods
Volume12
Issue number1
DOIs
Publication statusPublished - 2013

Keywords

  • Bimodal
  • Gamma-X family
  • Shannon entropy
  • T-X families
  • Unimodal

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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