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Biometrika 1995 82(1):151-164; doi:10.1093/biomet/82.1.151
© 1995 by Biometrika Trust
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Estimating equations for hazard ratio parameters based on correlated failure time data

JIANWEN CAI1 and ROSS L. PRENTICE2

1Department of Biostatistics, University of North Carolina Chapel Hill, North Carolina 27599-7400, U.S.A.
2Division of Public Health Sciences, Fred Hutchinson Cancer Research Center 1124 Columbia Street, Seattle, Washington 98104, U.S.A.

Weighted partial likelihood estimating equations are proposed for the estimation of marginal hazard ratio parameters based on correlated failure time data. Asymptotic distribution theory is derived for the solution to such equations using martingale convergence results and inverse function theory. Simulation studies and theoretical efficiency calculations indicate that the inclusion of weights in the estimating equation produces important efficiency gains only if the dependencies among the failure times are strong.

Key Words: Censoring • Correlated failure times • Counting process • Estimating equation • Marginal hazard rate • Martingale • Multivariate survivor function estimation • Semiparametric model • Survival data


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