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Biometrika 1981 68(1):105-112; doi:10.1093/biomet/68.1.105
© 1981 by Biometrika Trust
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Estimation of the average hazard ratio

JOHN D. KALBFLEISCH and ROSS L. PRENTICE

Department of Statistics, University of Waterloo Ontario
Fred Hutchinson Cancer Research Center Seattle, Washington

Simple estimators of the average hazard ratio are obtained for the two sample problem with censored failure time data. These estimators are compared with estimators arising out of the partial likelihood within the proportional hazards class. Efficiency results are found to be generally quite favourable provided the hazard ratio is not too large. Some comments are made on extensions to the k sample problem.

Key Words: Censored data • Failure time model • Gaussian process • Log rank test • Kaplan-Meier estimation • Nonparametric • Partial likelihood • Proportional hazard


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