The AGU-F distribution : Properties and applications on over and underdispersed data

Agu F. I., Paschal I. M., Eghwerido J. T.

JOURNAL OF STATISTICS & MANAGEMENT SYSTEMS, vol.25, no.1, pp.137-155, 2022 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.1080/09720510.2020.1864940
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.137-155
  • Keywords: Reliability measures, Maximum likelihood estimation, Moment generating function, Order statistics, LINDLEY DISTRIBUTION
  • Eskisehir Osmangazi University Affiliated: No


In this paper, we introduced a one-parameter lifetime distribution called the Agu-F distribution (Agu-F-D) and explored some of its useful statistical properties. The numerical applications of the Agu-F-D was examined using over and under dispersed, low and high kurtosis, positively, and negatively skewed three lifetime data sets. The parameter of the distribution was obtained using the maximum likelihood estimation method. The results obtained indicated that the proposed Agu-F-D performed best to the high kurtosis, positively, skewed, over and under dispersed data sets under consideration than the Lindley, Exponential and Ishita distributions. Thus, it can be used as an alternative model.