Discrete Inverted Kumaraswamy Distribution: Properties and Estimation
-
Published:2022-03-06
Issue:
Volume:
Page:297-328
-
ISSN:2220-5810
-
Container-title:Pakistan Journal of Statistics and Operation Research
-
language:
-
Short-container-title:Pak.j.stat.oper.res.
Author:
Hegazy Mai,
Abd EL-Kader Rabab,
AL-Dayian Gannat,
EL-Helbawy Abeer Abd-AllaORCID
Abstract
In this paper, a discrete inverted Kumaraswamy distribution; which is a discrete version of the continuous inverted Kumaraswamy variable, is derived using the general approach of discretization of a continuous distribution. Some important distributional and reliability properties of the discrete inverted Kumaraswamy distribution are obtained. Maximum likelihood and Bayesian approaches are applied to estimate the model parameters. A simulation study is carried out to illustrate the theoretical results. Finally, a real data set is applied.
Publisher
Pakistan Journal of Statistics and Operation Research
Subject
Management Science and Operations Research,Statistics, Probability and Uncertainty,Modeling and Simulation,Statistics and Probability