| dc.contributor.author | Arua, Eke N. | |
| dc.date.accessioned | 2016-09-13T11:25:10Z | |
| dc.date.available | 2016-09-13T11:25:10Z | |
| dc.date.issued | 2015 | |
| dc.identifier.uri | http://hdl.handle.net/10311/1500 | |
| dc.description | A dissertation submitted to the Dept. of Statistics, Faculty of Social Sciences, University of Botswana in partial fulfilment of the requirement of the degree of Masters in Stastistics. Citation: Arua, E.N. (2015) Approximating the poisson probability distribution by the Conway-Maxwell poisson distribution, University of Botswana. | en_US |
| dc.description.abstract | The aim of this research was to approximate the Poisson distribution by the COM-Poisson as a way to induce equi-dispersion in the model and hence, make some inferences by a closedform Poisson distribution. This was done by relating the moments of the COM-Poisson distribution to that of the Poisson distribution to determine the relationship between them.
It was found that equi-dispersion could be induced into the count data and hence some inferences on the Neyman-Pearson lemma were made. It was recommended that the COMPoisson distribution should be applied to induce equi-distribution when the data does not conform to the Poisson distribution. | en_US |
| dc.language.iso | en | en_US |
| dc.subject | Poisson distribution | en_US |
| dc.subject | approximate | en_US |
| dc.subject | poisson probability | en_US |
| dc.subject | Conway-Maxwell poisson | en_US |
| dc.title | Approximating the poisson probability distribution by the Conway-Maxwell poisson distribution | en_US |
| dc.type | Masters Thesis/Dissertation | en_US |
| dc.link | Unpublished | en_US |
