The Kumaraswamy-Gull Alpha Power Rayleigh Distribution: Properties and Application to HIV/AIDS Data
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Date
2023
Authors
Kpangay, Mohamed
Odongo, Leo O.
Orwa, George O.
Journal Title
Journal ISSN
Volume Title
Publisher
IJSRD
Abstract
In this paper, a new four-parameter distribution called the Kumaraswamy-Gull Alpha Power Rayleigh distribution
(abbreviated as Kw-GAPR) has been proposed. Some well-known sub-models are obtained from the proposed
Kw-GAPR distribution. Some statistical properties of the proposed Kw-GAPR distribution are investigated. The
distribution parameters are estimated by using the method of maximum likelihood estimation. To assess the
performance of the MLE estimates, a Monte Carlo simulation study was conducted. According to the results of
the simulation study, as the sample size is increased, average estimates converge to the parameters’ true values and
average bias, MSE, and RMSE generally decrease. The proposed Kw-GAPR distribution and its sub-models are
then compared by fitting the models to an HIV/AIDS data set. From the fitted data set, a conclusion can be drawn
that the proposed Kw-GAPR distribution outperforms its competing sub-models.
Description
Article
Keywords
Gull Alpha Power Family, Kumaraswamy Family, Maximum Likelihood Estimation, Rayleigh distribution
Citation
Kpangay, M., Odongo, L. O., & Orwa, G. O. The Kumaraswamy-Gull Alpha Power Rayleigh Distribution: Properties and Application to HIV/AIDS Data.