Expressing estimators of expected quality adjusted survival as functions of Nelson-Aalen estimators

被引:18
作者
Huang, YJ
Louis, TA
机构
[1] Fred Hutchinson Canc Res Ctr, Div Publ Hlth Sci, Seattle, WA 98104 USA
[2] Univ Minnesota, Sch Publ Hlth, Div Biostat, Minneapolis, MN 55455 USA
关键词
counting process; martingale; multistate process; multivariate failure time; nonparametric method;
D O I
10.1023/A:1009657629713
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Quality adjusted survival has been increasingly advocated in clinical trials to be assessed as a synthesis of survival and quality of life. We investigate nonparametric estimation of its expectation for a general multistate process with incomplete follow-up data. Upon establishing a representation of expected quality adjusted survival through marginal distributions of a set of defined events, we propose two estimators for expected quality adjusted survival. Expressed as functions of Nelson-Aalen estimators, the two estimators are strongly consistent and asymptotically normal. We derive their asymptotic variances and propose sample-based variance estimates, along with evaluation of asymptotic relative efficiency. Monte Carlo studies show that these estimation procedures perform well for practical sample sizes. We illustrate the methods using data from a national, multicenter AIDS clinical trial.
引用
收藏
页码:199 / 212
页数:14
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