Locally efficient estimation of the quality-adjusted lifetime distribution with right-censored data and covariates

Biometrics
M J van der Laan, A Hubbard

Abstract

Zhao and Tsiatis (1997) consider the problem of estimation of the distribution of the quality-adjusted lifetime when the chronological survival time is subject to right censoring. The quality-adjusted lifetime is typically defined as a weighted sum of the times spent in certain states up until death or some other failure time. They propose an estimator and establish the relevant asymptotics under the assumption of independent censoring. In this paper we extend the data structure with a covariate process observed until the end of follow-up and identify the optimal estimation problem. Because of the curse of dimensionality, no globally efficient nonparametric estimators, which have a good practical performance at moderate sample sizes, exist. Given a correctly specified model for the hazard of censoring conditional on the observed quality-of-life and covariate processes, we propose a closed-form one-step estimator of the distribution of the quality-adjusted lifetime whose asymptotic variance attains the efficiency bound if we can correctly specify a lower-dimensional working model for the conditional distribution of quality-adjusted lifetime given the observed quality-of-life and covariate processes. The estimator remains consist...Continue Reading

References

Nov 1, 1990·Statistics in Medicine·P P GlasziouR D Gelber
Jan 1, 1989·Journal of Clinical Oncology : Official Journal of the American Society of Clinical Oncology·A GoldhirschA S Coates
Sep 1, 1989·Biometrics·R D GelberA Goldhirsch

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Citations

Aug 1, 2006·Biostatistics·Hongkun Wang, Hongwei Zhao
Oct 1, 2009·BMC Medical Research Methodology·Chiu-Hsieh HsuDavid S Alberts
Feb 20, 2009·Statistics in Medicine·Biswabrata Pradhan, Anup Dewanji
Mar 3, 2007·Statistics in Medicine·Lu Tian, Jie Huang
Apr 7, 2011·ACS Nano·Longyan YuanZhong Lin Wang
Jun 1, 2009·Journal of Statistical Theory and Practice·Kaushal K Mishra, Sujit K Ghosh
Jun 22, 2017·ACS Applied Materials & Interfaces·Shanbiao LiuJunhao Chu

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