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| dc.contributor.supervisor | Lekgari, Mokaedi | |
| dc.contributor.author | Ndovie, Aubrey | |
| dc.date.accessioned | 2023-02-01T13:59:09Z | |
| dc.date.available | 2023-02-01T13:59:09Z | |
| dc.date.issued | 2022-08 | |
| dc.identifier.citation | Ndovie, A. (2022) Exponential convergence to a quasi-stationary distribution with applications to birth and death processes, Master's thesis, Botswana International University of Science and Technology: Palapye | en_US |
| dc.identifier.uri | http://repository.biust.ac.bw/handle/123456789/523 | |
| dc.description.abstract | In this project we study the exponential convergence of Markov processes to quasi-stationary distributions (QSDs) with applications. Quasi-stationary distributions are useful when it comes to understanding the behavior of stochastic processes which appear to be persistent over a long time period before reaching extinction. A review of the concept of stationarity and ergodicity is given. Next quasi-stationarity is defined. A simple example that illustrates quasi-stationarity is considered- specifically the example of the finite state case. Finally, we choose a Corona Virus model, convert it to a birth and death process, then show that it converges to a particular QSD exponentially, we also choose the compartment of infected persons from the model and show that it is a branching process that also converges to a QSD over time. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Botswana International University of Science and Technology (BIUST) | en_US |
| dc.subject | Markov processes | en_US |
| dc.subject | Stochastic processes | en_US |
| dc.subject | Quasi-stationarity | en_US |
| dc.subject | Corona Virus model | en_US |
| dc.title | Exponential convergence to a quasi-stationary distribution with applications to birth and death processes | en_US |
| dc.description.level | msc | en_US |
| dc.dc.description | Thesis (MSc of Science in Statistics--Botswana International University of Science and Technology, 2022 | |
| dc.description.accessibility | unrestricted | en_US |
| dc.description.department | mss | en_US |
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