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

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Gazi University Journal of Science
Volume:35 Issue:3
Alpha Power Odd Generalized Exponential Family of Distributions: Model, Properties and Applications

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

Authors : Ibrahim ELBATAL, Selen ÇAKMAKYAPAN, Gamze ÖZEL

Pages : 1171-1188

Doi:10.35378/gujs.868555

View : 42 | Download : 12

Publication Date : 2022-09-01

Article Type : Research Paper

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.
Keywords : Alpha power transformation, Odd generalized exponential family, Moments, Maximum likelihood estimation

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