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In this paper, we mainly discuss the cure model with survival data. Differentfrom the usual survival data with right-censoring, we incorporate the featuresof left-truncation and measurement error in covariates. Generally speaking,left-truncation causes a biased sample in survival analysis; measurement errorin covariates may incur a tremendous bias if we do not deal with it properly.To deal with these challenges, we propose a flexible way to analyzeleft-truncated survival data and correct measurement error in covariates. Thetheoretical results are also established in this paper.

Semiparametric Estimation for Cure Survival Model with Left-Truncated and Right-Censored Data and Covariate Measurement Error