An Efficient Estimation of the Mean Residual Life Function with Length-Biased Right-Censored Data

Proportional mean residual life model for right-censored length-biased data.

To study disease association with risk factors in epidemiologic studies, cross-sectional sampling is often more focused and less costly for recruiting study subjects who have already experienced initiating events. For time-to-event outcome, however, such a sampling strategy may be length biased. Coupled with censoring, analysis of length-biased data can be quite challenging, due to induced info...

Nonparametric Estimation of the Conditional Mean Residual Life Function Based on Censored Data

The conditional mean residual life (MRL) function is the expected remaining life given a set of predictors. In this work we consider two nonparametric estimators of the conditional MRL function when the lifetime variable is subject to right censoring. We discuss some theoretical difficulties with current semiparametric models for MRL function estimation methods. We derive the asymptotic consist...

Inference on Quantile Residual Life for Length-biased Survival Data

Length biased data occurs when a prevalent sampling is used to recruit subjects into a study that investigates the time from an initial event to a terminal event. Such data are usually left-truncated and right-censored. While there have been accurate and efficient methods to estimate the survival function, not much work has been done regarding the estimation of the residual life time distributi...

Conditional Mean Residual Life Estimation

Nonparametric Estimation of Mean Residual Life Function Using Scale Mixtures

Abstract The mean residual life function (mrlf) of a subject is defined as the average residual lifetime of the subject given that the subject has survived up to a given time point. A smooth nonparametric estimator of the mrlf is proposed using a scale mixtures of the empirical estimate of the mrlf. Asymptotic properties are established. The performances of the proposed estimator are studied ba...