Generalized Lindley Family with application on Wind Speed Data


Elbatal İ., Çakmakyapan Ergüler S., Özel Kadılar G.

Alpha Power Odd Generalized Exponential Family of Distributions: Model, Properties and Applications, vol.1, pp.1, 2022 (Peer-Reviewed Journal)

  • Publication Type: Article / Article
  • Volume: 1
  • Publication Date: 2022
  • Doi Number: 10.35378/gujs.868555
  • Journal Name: Alpha Power Odd Generalized Exponential Family of Distributions: Model, Properties and Applications
  • Page Numbers: pp.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.