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On Consistency of the Self-Consistent Estimator of Survival Functions with Interval-Censored Data
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On Consistency of the Self-Consistent Estimator of Survival Functions with Interval-Censored Data
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Journal Article
On Consistency of the Self-Consistent Estimator of Survival Functions with Interval-Censored Data
2000
Overview
The self-consistent estimator is commonly used for estimating a survival function with interval-censored data. Recent studies on interval censoring have focused on case 2 interval censoring, which does not involve exact observations, and double censoring, which involves only exact, right-censored or left-censored observations. In this paper, we consider an interval censoring scheme that involves exact, left-censored, right-censored and strictly interval-censored observations. Under this censoring scheme, we prove that the self-consistent estimator is strongly consistent under certain regularity conditions.
Publisher
Blackwell Publishers Ltd,Blackwell Publishers,Blackwell,Danish Society for Theoretical Statistics
