RecordNumber
3971
Author
Gillariose, Jiju and...
Title of Article
A Discrete Kumaraswamy Marshall-Olkin Exponential Distribution
Title Of Journal
JIRSS
Publication Year
2021
Volum
20
Issue Number
2
Page
129-152
Keywords
Discrete Distributions , Exponential Distribution , Generalized Family , geometric Distribution , Marshall-Olkin Extended Distribution , Maximum Likelihood Estimation
Abstract
Finding new families of distributions has become a popular tool in statistical
research. In this article, we introduce a new flexible four-parameter discrete model
based on the Marshall-Olkin approach, namely, the discrete Kumaraswamy Marshall-
Olkin exponential distribution. The proposed distribution can be viewed as another
generalization of the geometric distribution and enfolds some important distributions
as special cases. Some properties of the new distribution are derived. The model
parameters are estimated by the maximum likelihood method, with validation through
a complete simulation study. The usefulness of the new model is illustrated via counttype
real data sets.