| dc.contributor.supervisor | Gabaitiri, Lesego | |
| dc.contributor.supervisor | Makubate, Boikanyo | |
| dc.contributor.author | Musekwa, Regent Retrospect | |
| dc.date.accessioned | 2025-09-15T12:52:10Z | |
| dc.date.available | 2025-09-15T12:52:10Z | |
| dc.date.issued | 2023-02 | |
| dc.identifier.citation | Musekwa,R,R (2023) The Marshall-Olkin-G Power Series family of distributions with applications to complete and censored data. BIUST | en_US |
| dc.identifier.uri | https://repository.biust.ac.bw/handle/123456789/674 | |
| dc.description | Thesis (MSc of Mathematics and Statistical sciences)---Botswana International University of Science and Technology, 2023 | en_US |
| dc.description.abstract | We reviewed the generalized family of distributions called the Marshall-Olkin-G Power Series (MO-GPS) family of distributions. Some special models of the MO- GPS family of distributions are reviewed in detail. Some structural statistical properties inclusive of moments, residual and reverse residual life function, stress - strength function, mean deviations, distribution of the order statistics and R´enyi entropy are reviewed for the MO-GPS and its special models. Different estimation techniques are discussed, however the maximum likelihood estimation method is used to estimate the model parameters. A simulation study to examine the bias and mean square error of the maximum likelihood estimators was carried out. We model censored and complete data using the MO-GPS family of distributions. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Botswana International University of Science and Technology (BIUST) | en_US |
| dc.subject | Distributions | en_US |
| dc.subject | Marshall-Olkin-G Power Series (MO-GPS) | en_US |
| dc.subject | MO- GPS family | en_US |
| dc.subject | R´enyi entropy | en_US |
| dc.subject | Simulation study | en_US |
| dc.title | The Marshall-Olkin-G Power Series family of distributions with applications to complete and censored data | en_US |
| dc.description.level | msc | en_US |
| dc.description.accessibility | unrestricted | en_US |
| dc.description.department | mss | en_US |