The Kumaraswamy-G Poisson Family of Distributions

• Main Authors: Manoel Wallace A. Ramos, Pedro Rafael D. Marinho, Gauss M. Cordeiro, Ronaldo V. da Silva, G.G. Hamedani, Joao Pessoa
• Format: Article
• Language: English
• Published: Atlantis Press 2015-08-01
• Series: Journal of Statistical Theory and Applications (JSTA)
• Subjects: Kumaraswamy distribution; Kumaraswamy-G Poisson distribution; Poisson distribution; Maximum likelihood estimation
• Online Access: https://www.atlantis-press.com/article/25840071.pdf

For any baseline continuous G distribution, we propose a new generalized family called the Kumaraswamy-G Poisson (denoted with the prefix “Kw-GP”) with three extra positive parameters. Some special distributions in the new family such as the Kw-Weibull Poisson, Kw-gamma Poisson and Kw-beta Poisson distributions are introduced. We derive some mathematical properties of the new family including the ordinary moments, generating function and order statistics. The method of maximum likelihood is used to fit the distributions in the new family. We illustrate its potentiality by means of an application to a real data set.