dc.contributor.author |
Oluyede, Broderick |
|
dc.contributor.author |
Mdlongwa, Precious |
|
dc.contributor.author |
Makubate, Boikanyo |
|
dc.contributor.author |
Huang, Shujiao |
|
dc.date.accessioned |
2022-06-30T08:26:26Z |
|
dc.date.available |
2022-06-30T08:26:26Z |
|
dc.date.issued |
2018-12-12 |
|
dc.identifier.citation |
Oluyede, B. et al. (2018) The burr-weibull power series class of distributions, Austrian Journal of Statistics, 48 (1), 1–13. https://doi.org/10.17713/ajs.v48i1.633 |
en_US |
dc.identifier.issn |
1026597X |
|
dc.identifier.uri |
http://repository.biust.ac.bw/handle/123456789/471 |
|
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) 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, Burrexponential 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. |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
Austrian Statistical Society |
en_US |
dc.subject |
Burr-weibull distribution |
en_US |
dc.subject |
Poisson distribution |
en_US |
dc.subject |
Weibull distribution |
en_US |
dc.subject |
Burr distribution |
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 |