Document Type
Article
Language
eng
Format of Original
18 p.
Publication Date
9-2015
Publisher
Atlantis Press
Source Publication
Journal of Statistical Theory and Applications
Source ISSN
1538-7887
Original Item ID
doi: 10.2991/jsta.2015.14.3.1
Abstract
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.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Ramos, Manoel Wallace A.; Marinho, Pedro Rafael D.; Cordeiro, Gauss M.; da Silva, Ronaldo V.; and Hamedani, Gholamhossein, "The Kumaraswamy-G Poisson Family of Distributions" (2015). Mathematics, Statistics and Computer Science Faculty Research and Publications. 407.
https://epublications.marquette.edu/mscs_fac/407
Comments
Published version. Journal of Statistical Theory and Applications, Vol. 14, No. 3 (September 2015): 222-239. DOI. © 2015 The Authors. Used with permission.