Inference for competing risks based on area between curves statistics
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908783298478080 |
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| author | Mack, Simon Ditzhaus, Marc Munko, Merle Pauly, Markus |
| author_facet | Mack, Simon Ditzhaus, Marc Munko, Merle Pauly, Markus |
| contents | In competing risks models, cumulative incidence functions are commonly compared to infer differences between groups. Many existing inference methods, however, struggle when these functions cross during the time frame of interest. To address this problem, we investigate a test statistic based on the area between cumulative incidence functions. As the corresponding limiting distribution depends on quantities that are typically unknown, we propose a wild bootstrap approach to obtain a feasible and asymptotically valid two-sample test. The finite sample performance of the proposed method, in comparison with existing methods, is examined in an extensive simulation study. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_16368 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Inference for competing risks based on area between curves statistics Mack, Simon Ditzhaus, Marc Munko, Merle Pauly, Markus Methodology 62N03 (Primary) 62G09, 62G10 (Secondary) In competing risks models, cumulative incidence functions are commonly compared to infer differences between groups. Many existing inference methods, however, struggle when these functions cross during the time frame of interest. To address this problem, we investigate a test statistic based on the area between cumulative incidence functions. As the corresponding limiting distribution depends on quantities that are typically unknown, we propose a wild bootstrap approach to obtain a feasible and asymptotically valid two-sample test. The finite sample performance of the proposed method, in comparison with existing methods, is examined in an extensive simulation study. |
| title | Inference for competing risks based on area between curves statistics |
| topic | Methodology 62N03 (Primary) 62G09, 62G10 (Secondary) |
| url | https://arxiv.org/abs/2601.16368 |