International Journal of Mathematics and Statistics Studies (IJMSS)

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Comparison of Survival Models and Estimation of Their Parameters With Respect To Mortality in a Given Population: A Case Study of Homa-Bay County in Nyanza Province


In this research , we consider three different survival models under the assumption of Gompertz model as the baseline distribution. We compare the fitting results of the Exponential distribution , the Gompertz distribution and the Gompertz – Makeham model in a given population. As the human lifespan decreases, more and more people are becoming interested in mortality rates at higher ages. The aim of this study is to estimate the robust and reliable estimates of level and trend in mortality in Kenya . The purpose of this study is to find out if the population of Kendu Bay area in Nyanza Province fits the Gompertz model and also to compare different survival models parametrically in a population. And also to determine the relationship between death rate and age in the area. Model comparison is made using the maximum likelihood function technique and a well fitted model is suggested for the population data. The expected output is that the preferred model is the one which satisfies the characteristics of the given population.



Keywords: Expected life time, Force of mortality, Gompertz distribution, Gompertz-Makeham Models, Growth parameter, Life table, Mortality, Stochastic process, Survival analysis

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