The Type I Generalized Half Logistic Survival Model

Abstract

In this paper, a three parameter probability distribution function called type I generalized half-logistic distribution is introduced to model survival or time to event data. The survival function, hazard function and median survival time of the survival model were established. Estimation of the parameters of the model was done using the maximum likelihood method. We then applied the type I generalized half-logistic survival model to a breast cancer survival data. The derived result from type I generalized half logistic survival model was compared with the results of some common existing parametric survival models, and this revealed that the type I generalized half-logistic survival model clearly demonstrates superiority over these other models.