Austrian Journal of Statistics | |
The Burr-Weibull Power Series Class of Distributions | |
article | |
Broderick Oluyede1  Precious Mdlongwa1  Boikanyo Makubate1  Shujiao Huang1  | |
[1] Georgia Southern University, Botswana International University of Science and Technology,Botswana International University of Science and Technology, BBVA Compass | |
关键词: Burr-Weibull distribution; Poisson distribution; Weibull distribution; Burr distribution; maximum likelihood estimation.; | |
DOI : 10.17713/ajs.v48i1.633 | |
学科分类:医学(综合) | |
来源: Austrian Statistical Society | |
【 摘 要 】
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) distribution 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 likelihood 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.
【 授权许可】
CC BY
【 预 览 】
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