The Kumaraswamy-G Poisson Family of Distributions

DOI

10.2991/jsta.2015.14.3.1How to use a DOI?

Keywords

Kumaraswamy distribution; Kumaraswamy-G Poisson distribution; Poisson distribution; Maximum likelihood estimation

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.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Manoel Wallace A. Ramos
AU  - Pedro Rafael D. Marinho
AU  - Gauss M. Cordeiro
AU  - Ronaldo V. da Silva
AU  - G.G. Hamedani
AU  - Joao Pessoa
PY  - 2015
DA  - 2015/09/01
TI  - The Kumaraswamy-G Poisson Family of Distributions
JO  - Journal of Statistical Theory and Applications
SP  - 222
EP  - 239
VL  - 14
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2015.14.3.1
DO  - 10.2991/jsta.2015.14.3.1
ID  - Ramos2015
ER  -