Analysis of interval censored failure time data with competing risk

ABSTRACT

In this article, we analyze interval censored failure time data with competing risks. A new estimator for the cumulative incidence function is derived using an approximate likelihood and a test statistic to compare two samples is then obtained by extending Sun's test statistic. Small sample properties of the proposed methods are examined by conducting simulations and a cohort dataset from AIDS patients is analyzed as a real example.

KEYWORDS:

• Competing risk
• cumulative incidence function
• interval censored data
• nonparametric maximum likelihood
• test statistics

Acknowledgments

I am grateful to Professor Michael G. Hudgens for providing with IDU cohort study dataset. The author thanks the reviewers for their helpful comments.

Disclosure statement

No potential conflict of interest was reported by the author.

Additional information

Funding

This work was supported by Korea research grant NRF-2014R1A2A2A01003567.