arXiv 5 Oct 2022 · Statistics — Methodology · 1 citations (OpenAlex)
arXiv:2210.02548 · PDF · DOI · OpenAlex · Extracted main text
In this paper the regression discontinuity design is adapted to the survival analysis setting with right-censored data, studied in an intensity based counting process framework. In particular, a local polynomial regression version of the Aalen additive hazards estimator is introduced as an estimator of the difference between two covariate dependent cumulative hazard rate functions. Large-sample theory for this estimator is developed, including confidence intervals that take into account the uncertainty associated with bias correction. As is standard in the causality literature, the models and the theory are embedded in the potential outcomes framework. Two general results concerning potential outcomes and the multiplicative hazards model for survival data are presented.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Calonico, S., Cattaneo, M. D., and Titiunik, R (2014) Robust nonparametric confidence intervals for regression-discontinuity designs | 1.000 | 6 | 3 | 100% |
| 2 | Andersen, P. K., Borgan, ., Gill, R. D., and Keiding, N (1993) Statistical Models Based on Counting Processes | 0.969 | 11 | 3 | 91% |
| 3 | Fan, J. and Gijbels, I (1996) Local Polynomial Modelling and Its Applications | 0.928 | 4 | 3 | 100% |
| 4 | Imbens, G. W. and Lemieux, T (2008) Regression discontinuity designs: A guide to practice | 0.874 | 6 | 2 | 100% |
| 5 | Aalen, O. O., Borgan, ., and Gjessing, H (2008) Survival and Event History Analysis: A Process Point of View | 0.644 | 2 | 2 | 100% |
| 6 | Calonico, S., Cattaneo, M. D., and Titiunik, R (2014) Supplement to `Robust nonparametric confidence intervals for regression-discontinuity designs' | 0.644 | 2 | 2 | 100% |
| 7 | Hahn, J., Todd, P., and Van der Klaauw, W (2001) Identification and estimation of treatment effects with a regression-discontinuity design | 0.644 | 2 | 2 | 100% |
| 8 | Jacod, J. and Shiryaev, A (2003) Limit Theorems for Stochastic Processes. Second Edition | 0.558 | 23 | 3 | 17% |
| 9 | Kallenberg, O (2002) Foundations of Modern Probability. Second Edition | 0.511 | 3 | 2 | 33% |
| 10 | Imbens, G. W. and Rubin, D. B (2015) Causal Inference in Statistics, Social, and Biomedical Sciences | 0.511 | 2 | 1 | 100% |
Showing the top 10 of 43 scored citations.