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Updated: Mar 14, 2026

Establishing a Competing Risk Regression Nomogram Model for Survival Data
Published on: October 23, 2020
Nonparametric estimation of the multivariate survivor function: the multivariate Kaplan-Meier estimator
Ross L Prentice1, Shanshan Zhao2
1Division of Public Health Sciences, Fred Hutchinson Cancer Research Center, Seattle, WA, USA. rprentic@fhcrc.org.
Abstract:
The Dabrowska (Ann Stat 16:1475-1489, 1988) product integral representation of the multivariate survivor function is extended, leading to a nonparametric survivor function estimator for an arbitrary number of failure time variates that has a simple recursive formula for its calculation. Empirical process methods are used to sketch proofs for this estimator's strong consistency and weak convergence properties. Summary measures of pairwise and higher-order dependencies are also defined and nonparametrically estimated. Simulation evaluation is given for the special case of three failure time variates.
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