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
Publication statusPublished - 2013
Externally publishedYes

Fingerprint

Gaussian distribution
Mean deviation
Limit Behavior
Shannon Entropy
Bimodal
Maximum Likelihood Estimation
Structural Properties
Moment
Estimate
Normal distribution
Model
Life
Deviation
Maximum likelihood estimation
Structural properties
Entropy

Keywords

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

ASJC Scopus subject areas

  • Statistics, Probability and Uncertainty
  • Statistics and Probability

Cite this

On the gamma-half normal distribution and its applications. / Alzaatreh, Ayman; Knight, Kristen.

In: Journal of Modern Applied Statistical Methods, Vol. 12, No. 1, 2013, p. 103-119.

Research output: Contribution to journalArticle

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