Alpha Power Odd Generalized Exponential Family of Distributions: Model, Properties and Applications

Creative Commons License

Elbatal I., ÇAKMAKYAPAN ERGÜLER S., ÖZEL KADILAR G.

GAZI UNIVERSITY JOURNAL OF SCIENCE, vol.35, no.3, pp.1171-1188, 2022 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 3
  • Publication Date: 2022
  • Doi Number: 10.35378/gujs.868555
  • Journal Name: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, Compendex, Metadex, Civil Engineering Abstracts, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1171-1188
  • Keywords: Alpha power transformation, Odd generalized exponential family, Moments, Maximum likelihood estimation
  • Hacettepe University Affiliated: Yes

Abstract

In this paper, we exhibit a general family of distributions called alpha power odd generalized exponential family of distributions. The new family is very flexible with increasing, decreasing, J, reversed-J, bathtub shapes. Statistical properties of the family such as quantile, expansion of density function, moments, incomplete moments, mean deviation, Bonferroni and Lorenz curves are proposed. The method of maximum likelihood to estimate the model parameters is used. Three applications based on real data sets are the importance and flexibility of the three proposed models.