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September, 1988 A Class of $K$-Sample Tests for Comparing the Cumulative Incidence of a Competing Risk
Robert J. Gray
Ann. Statist. 16(3): 1141-1154 (September, 1988). DOI: 10.1214/aos/1176350951


In this paper, for right censored competing risks data, a class of tests developed for comparing the cumulative incidence of a particular type of failure among different groups. The tests are based on comparing weighted averages of the hazards of the subdistribution for the failure type of interest. Asymptotic results are derived by expressing the statistics in terms of counting processes and using martingale central limit theory. It is proposed that weight functions very similar to those for the $G^p$ tests from ordinary survival analysis be used. Simulation results indicate that the asymptotic distributions provide adequate approximations in moderate sized samples.


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Robert J. Gray. "A Class of $K$-Sample Tests for Comparing the Cumulative Incidence of a Competing Risk." Ann. Statist. 16 (3) 1141 - 1154, September, 1988.


Published: September, 1988
First available in Project Euclid: 12 April 2007

zbMATH: 0649.62040
MathSciNet: MR959192
Digital Object Identifier: 10.1214/aos/1176350951

Primary: 62G10
Secondary: 62E20

Keywords: $G^\rho$ tests , Censored data , counting processes , Martingales

Rights: Copyright © 1988 Institute of Mathematical Statistics

Vol.16 • No. 3 • September, 1988
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