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A Class of $K$-Sample Tests for Comparing the Cumulative Incidence of a Competing Risk

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Gray, Robert J.·1988·The Annals of Statistics

Abstract

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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Metadata

Authors
Gray, R. J.
Venue
The Annals of Statistics
Published
1988-09-01
Volume
16
Issue
3
ISSN
0090-5364 (ISSN-L)
OpenAlex
W2073140442
Cited by
4,960
References
0
FWCI
3.51
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: A Class of $K$-Sample Tests for Comparing the Cumulative Incidence of a Competing Risk. https://app.cochat.ai/papers/10.1214/aos/1176350951
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Gray, R. J. (1988). A Class of $K$-Sample Tests for Comparing the Cumulative Incidence of a Competing Risk. The Annals of Statistics. https://doi.org/10.1214/aos/1176350951

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.