A new generalized normal distribution: Properties and applications

Mohammad A. Aljarrah, Felix Famoye, Carl Lee

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

The most commonly studied generalized normal distribution is the well-known skew-normal by Azzalini. In this paper, a new generalized normal distribution is defined and studied. The distribution is unimodal and it can be skewed right or left. The relationships between the parameters and the mean, variance, skewness, and kurtosis are discussed. It is observed that the new distribution has a much wider range of skewness and kurtosis than the skew-normal distribution. The method of maximum likelihood is proposed to estimate the distribution parameters. Two real data sets are applied to illustrate the flexibility of the distribution.

Original languageEnglish
Pages (from-to)4474-4491
Number of pages18
JournalCommunications in Statistics - Theory and Methods
Volume48
Issue number18
DOIs
StatePublished - Sep 17 2019

Keywords

  • Beta-family
  • entropy
  • hazard function
  • moments
  • symmetrical distribution

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