Sankhya: The Indian Journal of Statistics

2000, Volume 62, Series B, Pt. 1, 175--188

ESTIMATING MEAN QUALITY ADJUSTED LIFETIME WITH CENSORED DATA

By

HONGWEI ZHAO, University of Rochester, Rochester

and

ANASTASIOS A. TSIATIS, North Carolina State University, Raleigh

SUMMARY. Quality of life is an important component in the evaluation of clinical trials. A measure called quality adjusted lifetime has received great interest recently. In this paper, we consider the problem of estimating mean quality adjusted lifetime with censored data. Using the general representation theorem for missing data processes, we are able to define a class of estimators which are asymptotically equivalent to all possible consistent asymptotically normal estimators of mean quality adjusted lifetime, as well as deriving the semiparametric efficiency bound. Simulation experiments are conducted to evaluate our theoretical results. In addition, data from a breast cancer clinical trial are analyzed to illustrate our method.

AMS (1991) subject classification. 62N01, 62P10

Key words and phrases. Clinical trials, counting process, martingale process, quality of life, semiparametric efficiency, survival analysis.

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