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

Year 2022, Volume: 35 Issue: 3, 1171 - 1188, 01.09.2022

Ibrahim Elbatal Selen Çakmakyapan Gamze Özel

https://doi.org/10.35378/gujs.868555

Cited By: 1

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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