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A class of k-sample tests for comparing the cumulative incidence of a competing risk. (English) Zbl 0649.62040
Summary: For right censored competing risks data, a class of tests is 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 \(G^{\rho}\) tests from ordinary survival analysis be used. Simulation results indicate that the asymptotic distributions provide adequate approximations in moderate sized samples.

62G10 Nonparametric hypothesis testing
62E20 Asymptotic distribution theory in statistics
62P10 Applications of statistics to biology and medical sciences; meta analysis
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