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The Burr-Weibull Power Series Class of Distributions

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dc.contributor.author Oluyede, Broderick
dc.contributor.author Mdlongwa, Precious
dc.contributor.author Makubate, Boikanyo
dc.contributor.author Huang, Shujiao
dc.date.accessioned 2026-03-16T10:19:19Z
dc.date.available 2026-03-16T10:19:19Z
dc.date.issued 2019-01
dc.identifier.citation Oluyede,Bet al.(2019) The Burr-Weibull Power Series Class of Distributions,AJS Austrian Journal of Statistics January 2019, Volume 48, 1–13. http://www.ajs.or.at/ doi:10.17713/ajs.v48i1.633 en_US
dc.identifier.uri https://repository.biust.ac.bw/handle/123456789/734
dc.description.abstract A new generalized class of distributions called the Burr-Weibull Power Series (BWPS) class of distributions is developed and explored. This class of distributions generalizes the Burr power series and Weibull power series classes of distributions, respectively. A special model of the BWPS class of distributions, the new Burr-Weibull Poisson (BWP) distri- bution is considered and some of its mathematical properties are obtained. The BWP distribution contains several new and well known sub-models, including Burr-Weibull, Burr- exponential Poisson, Burr-exponential, Burr-Rayleigh Poisson, Burr-Rayleigh, Burr-Poisson, Burr, Lomax-exponential Poisson, Lomax-Weibull, Lomax-exponential, Lomax-Rayleigh, Lomax-Poisson, Lomax, Weibull, Rayleigh and exponential distributions. Maximum likeli- hood estimation technique is used to estimate the model parameters followed by a Monte Carlo simulation study. Finally an application of the BWP model to a real data set is presented to illustrate the usefulness of the proposed class of distributions en_US
dc.publisher Austrian Journal of Statistics en_US
dc.subject Burr-Weibull distribution en_US
dc.subject Poisson distribution en_US
dc.subject Weibull distribution en_US
dc.subject Burr distri- bution en_US
dc.subject Maximum likelihood estimation en_US
dc.title The Burr-Weibull Power Series Class of Distributions en_US
dc.description.level phd en_US
dc.description.accessibility unrestricted en_US
dc.description.department mss en_US


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