WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 24, 2025
Estimation of the Conditional Survival Function with Interval-Censored Data
Author:
Abstract: This paper focuses on the estimation of the conditional survival function in the presence
of interval-censored data. While estimation is relatively straightforward for qualitative covariates using
Turnbull’s estimator, the case of continuous covariates, particularly under interval censoring, poses additional
methodological challenges. We describe existing kernel-based approaches, such as those using Nadaraya-Watson
weights, applicable under right censoring. The main contribution of this work is the proposal of two novel
methodologies tailored for estimating the conditional survival function when data are interval-censored. These
methods use kernel weights and a modified EM algorithm to provide practical ways to solve this challenging
problem.
Search Articles
Keywords: survival analysis, interval censoring, conditional survival function, nonparametric estimation
Pages: 508-515
DOI: 10.37394/23206.2025.24.50