Asymptotic properties of resampling-based processes for the average treatment effect in observational studies with competing risks
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866910422132588544 |
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| author | Rühl, Jasmin Friedrich, Sarah |
| author_facet | Rühl, Jasmin Friedrich, Sarah |
| contents | In observational studies with time-to-event outcomes, the g-formula can be used to estimate a treatment effect in the presence of confounding factors. However, the asymptotic distribution of the corresponding stochastic process is complicated and thus not suitable for deriving confidence intervals or time-simultaneous confidence bands for the average treatment effect. A common remedy are resampling-based approximations, with Efron's nonparametric bootstrap being the standard tool in practice. We investigate the large sample properties of three different resampling approaches and prove their asymptotic validity in a setting with time-to-event data subject to competing risks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_02970 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Asymptotic properties of resampling-based processes for the average treatment effect in observational studies with competing risks Rühl, Jasmin Friedrich, Sarah Statistics Theory In observational studies with time-to-event outcomes, the g-formula can be used to estimate a treatment effect in the presence of confounding factors. However, the asymptotic distribution of the corresponding stochastic process is complicated and thus not suitable for deriving confidence intervals or time-simultaneous confidence bands for the average treatment effect. A common remedy are resampling-based approximations, with Efron's nonparametric bootstrap being the standard tool in practice. We investigate the large sample properties of three different resampling approaches and prove their asymptotic validity in a setting with time-to-event data subject to competing risks. |
| title | Asymptotic properties of resampling-based processes for the average treatment effect in observational studies with competing risks |
| topic | Statistics Theory |
| url | https://arxiv.org/abs/2306.02970 |