Lifetime Data Analysis

, 15:455

Accelerated hazards mixture cure model

Authors

  • Jiajia Zhang
    • Department of Epidemiology and BiostatisticsUniversity of South Carolina
    • Departments of Community Health and Epidemiology and Mathematics and Statistics, Cancer Care and Epidemiology, Cancer Research InstituteQueen’s University
Article

DOI: 10.1007/s10985-009-9126-4

Cite this article as:
Zhang, J. & Peng, Y. Lifetime Data Anal (2009) 15: 455. doi:10.1007/s10985-009-9126-4

Abstract

We propose a new cure model for survival data with a surviving or cure fraction. The new model is a mixture cure model where the covariate effects on the proportion of cure and the distribution of the failure time of uncured patients are separately modeled. Unlike the existing mixture cure models, the new model allows covariate effects on the failure time distribution of uncured patients to be negligible at time zero and to increase as time goes by. Such a model is particularly useful in some cancer treatments when the treat effect increases gradually from zero, and the existing models usually cannot handle this situation properly. We develop a rank based semiparametric estimation method to obtain the maximum likelihood estimates of the parameters in the model. We compare it with existing models and methods via a simulation study, and apply the model to a breast cancer data set. The numerical studies show that the new model provides a useful addition to the cure model literature.

Keywords

Censoring EM algorithm Mixture model Rank estimation SEER data

Copyright information

© Springer Science+Business Media, LLC 2009