Indian Journal of Science and Technology
Year: 2015, Volume: 8, Issue: 13, Pages: 1-6
Fauzia Taweab1*, Noor Akma Ibrahim2 and Mohd Rizam2
1 Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, 43300, Malaysia; [email protected]
2 Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, Serdang, 43300, Malaysia
In this paper, a cure fraction model for interval-censored data with a change point according to a covariate threshold is proposed. Maximum likelihood estimators of the model parameters are obtained using the Expectation Maximization (EM) algorithm. A critical challenge to this method was that the likelihood function is not differentiable with respect to the unknown change point parameter. Simulation studies were conducted to evaluate the performance of the proposed estimation method. The numerical results showed that the new model represents a valuable advancement of cure models.
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