Ziming Lin, Fang Han
arXiv 31 Oct 2024 · Mathematics — Statistics Theory
arXiv:2410.23525 · PDF · DOI · OpenAlex · Extracted main text
In a landmark paper, Abadie and Imbens (2008) showed that the naive bootstrap is inconsistent when applied to nearest neighbor matching estimators of the average treatment effect with a fixed number of matches. Since then, this finding has inspired numerous efforts to address the inconsistency issue, typically by employing alternative bootstrap methods. In contrast, this paper shows that the naive bootstrap is provably consistent for the original matching estimator, provided that the number of matches, $M$, diverges. The bootstrap inconsistency identified by Abadie and Imbens (2008) thus arises solely from the use of a fixed $M$.
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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 | Lin, Z., Ding, P., and Han, F (2023) Estimation based on nearest neighbor matching: from density ratio to average treatment effect self | 1.000 | 22 | 4 | 100% |
| 2 | Abadie, A. and Imbens, G. W (2008) On the failure of the bootstrap for matching estimators | 1.000 | 7 | 3 | 100% |
| 3 | Abadie, A. and Imbens, G. W (2006) Large sample properties of matching estimators for average treatment effects | 1.000 | 6 | 3 | 100% |
| 4 | Abadie, A. and Imbens, G. W (2011) Bias-corrected matching estimators for average treatment effects | 0.928 | 4 | 3 | 100% |
| 5 | Lin, Z. and Han, F (2024) On the failure of the bootstrap for Chatterjee's rank correlation self | 0.644 | 2 | 2 | 100% |
| 6 | Otsu, T. and Rai, Y (2017) Bootstrap inference of matching estimators for average treatment effects | 0.644 | 2 | 2 | 100% |
| 7 | Durrett, R (2019) Probability: Theory and Examples (5th Edition) | 0.511 | 2 | 2 | 50% |
| 8 | Imbens, G. W (2024) Causal inference in the social sciences | 0.511 | 2 | 1 | 100% |
| 9 | Abadie, A. and Spiess, J (2022) Robust post-matching inference | 0.405 | 1 | 1 | 100% |
| 10 | Adusumilli, K (2018) Bootstrap inference for propensity score matching | 0.405 | 1 | 1 | 100% |
Showing the top 10 of 32 scored citations.
arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.
| Citing paper | Intensity | Mentions | Sections | |
|---|---|---|---|---|
| 1 | On the limiting variance of matching estimators | 0.405 | 1 | 1 |
| 2 | A sliced Wasserstein and diffusion approach to random coefficient models | 0.405 | 1 | 1 |
| 3 | Generative modeling for the bootstrap | 0.405 | 1 | 1 |
| 4 | Bootstrap consistency for general double/debiased machine learning estimators | 0.405 | 1 | 1 |