Survival Curve Estimation with Dependent Left Truncated Data Using Cox's Model

Mackenzie Todd
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Mackenzie Todd: Dartmouth College

The International Journal of Biostatistics, 2012, vol. 8, issue 1, 20

Abstract: The Kaplan-Meier and closely related Lynden-Bell estimators are used to provide nonparametric estimation of the distribution of a left-truncated random variable. These estimators assume that the left-truncation variable is independent of the time-to-event. This paper proposes a semiparametric method for estimating the marginal distribution of the time-to-event that does not require independence. It models the conditional distribution of the time-to-event given the truncation variable using Cox's model for left truncated data, and uses inverse probability weighting. We report the results of simulations and illustrate the method using a survival study.

Keywords: delayed entry; inverse probability weighting (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1515/1557-4679.1312

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