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Biometrika 1997 84(2):339-348; doi:10.1093/biomet/84.2.339
© 1997 by Biometrika Trust
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A consistent estimator for the distribution of quality adjusted survival time

HONGWEI ZHAO and ANASTASIOS A. TSIATIS

Department of Biostatistics, Harvard School of Public Health Boston, Massachusetts 02115, U.S.A. e-mail: zhao{at}hsph.harvard.edu
Department of Statistics, North Carolina State University Raleigh, North Carolina 27695, U.S.A. e-mail: tsiatis{at}stat.ncsu.edu

Quality adjusted survival analysis is a new approach to therapy evaluation in clinical trials. It has received much attention recently because of its ability to take patients' quality of life into consideration. In this paper, we present a method that enables us to calculate the survival distribution of quality adjusted lifetime. Using martingale theory for counting processes, we can show that our estimator is asymptotically consistent, normally distributed, and its asymptotic variance estimate can be obtained analytically. Simulation experiments are conducted to compare our estimator with the true underlying distribution for two cases that are of practical importance.

Key Words: Counting process • Martingale process • Quality of life • Survival analysis


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