Cure Fraction Model for Interval Censoring with a Change Point based on a Covariate Threshold

Fauzia Taweab; Noor Akma Ibrahim  and Mohd Rizam

doi:10.17485/ijst/2015/v8i13/70641

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Cure Fraction Model for Interval Censoring with a Change Point based on a Covariate Threshold

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2015/v8i13/70641

Year: 2015, Volume: 8, Issue: 13, Pages: 1-6

Original Article

Cure Fraction Model for Interval Censoring with a Change Point based on a Covariate Threshold

Fauzia Taweab^1*, Noor Akma Ibrahim2 and Mohd Rizam²

¹Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, 43300, Malaysia; [email protected]

² Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, Serdang, 43300, Malaysia

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

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.