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 |