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

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

GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.35, sa.3, ss.1171-1188, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.35378/gujs.868555
  • Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: 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)
  • Sayfa Sayıları: ss.1171-1188
  • Anahtar Kelimeler: Alpha power transformation, Odd generalized exponential family, Moments, Maximum likelihood estimation
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.