Statistics Seminar - Katherine Davies - Inference for Generalized Exponential Cure Rate Model and an Empirical Study
Speaker: Katherine Davies (McMaster University)
Title: Inference for Generalized Exponential Cure Rate Model and an Empirical Study
Abstract: In this talk, I will describe two well-known parametric long-term survival models, namely, the Bernoulli cure rate model and the promotion time (or Poisson) cure rate model. Assuming the lifetimes due to each competing cause to follow a two-parameter generalized exponential distribution and the long-term survival probability to depend on a set of risk factors, I will present the main contribution of this work which is the development of the stochastic expectation maximization (SEM) algorithm to determine the maximum likelihood estimates of the model parameters. Through a simulation study, I will demonstrate the performance of the proposed method and compare it to the well-known EM algorithm. For illustrative purposes, analysis of a breast cancer survival data is also presented.