title: Survival curve estimation with dependent left truncated data using Cox's model.
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.
authors.affiliation: Dartmouth College.
authors.forename: Todd
authors.initials: T
authors.lastname: Mackenzie
mesh_terms: D000367:Age Factors; D001699:Biometry; D003198:Computer Simulation; D053208:Kaplan-Meier Estimate; D016016:Proportional Hazards Models; D016019:Survival Analysis