An analytical approach on estimation of cure rate from mixture model based on Type 2 censoring

This study deals with the analysis of estimation of cure rate. Mixture models have been proposed for cure rate estimation. In this paper we have tried to estimate the cure parameter by considering censored data specifically for Type 2 censoring from mixture model. We have used parametric Maximum likelihood estimation (PMLE) method and non parametric maximum likelihood (NPMLE) method to estimate the parameter. From the analysis we have found an explicit solution for the parameter of cure rate model based on Type 2 censoring for known distribution function. On the other hand when the distribution function are unknown, we have found a non-parametric estimating equations for on based on Type 2 censoring scheme.