The Kumaraswamy-Gull Alpha Power Rayleigh Distribution: Properties and Application to HIV/AIDS Data

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dc.contributor.authorKpangay, Mohamed
dc.contributor.authorOdongo, Leo O.
dc.contributor.authorOrwa, George O.
dc.date.accessioned2023-07-04T11:58:28Z
dc.date.available2023-07-04T11:58:28Z
dc.date.issued2023
dc.descriptionArticleen_US
dc.description.abstractIn 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.en_US
dc.identifier.citationKpangay, M., Odongo, L. O., & Orwa, G. O. The Kumaraswamy-Gull Alpha Power Rayleigh Distribution: Properties and Application to HIV/AIDS Data.en_US
dc.identifier.issn2581-7175
dc.identifier.urihttp://ir-library.ku.ac.ke/handle/123456789/26062
dc.language.isoenen_US
dc.publisherIJSRDen_US
dc.subjectGull Alpha Power Familyen_US
dc.subjectKumaraswamy Familyen_US
dc.subjectMaximum Likelihood Estimationen_US
dc.subjectRayleigh distributionen_US
dc.titleThe Kumaraswamy-Gull Alpha Power Rayleigh Distribution: Properties and Application to HIV/AIDS Dataen_US
dc.typeArticleen_US
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