Survival analysis examines and models the time it takes for events to occur. The prototypical such event is death, from which the name ‘survival analysis’ and much of its terminology derives. This research study develops a predictive model and considers the factors associated with under-five child mortality rates in Kenya in order to provide the solutions and interventions to organizations concerned with demographic data. As the human lifespan increases, more and more people are becoming interested in mortality. The aim of this study is to estimate the robust and reliable estimates of level and trend in under-five mortality in Kenya . Survival analysis techniques and frailty modeling will be used as the statistical tools for analyzing the time-event data. Both the survival parametric and non –parametric models and the frailty models will be fit to help us draw the required conclusions based on under-five child mortality rates. The results of this study will be used to assist in formulating appropriate health programs and policies that will reduce under-five human mortality.
Keywords: Frailty models, Hazard function, Parametric regression, Stochastic process