Yihui He, Fang Han
arXiv 22 Oct 2023 · Mathematics — Statistics Theory · publishedBiometrika (2024) · 1 citations (OpenAlex)
arXiv:2310.14142 · PDF · DOI · OpenAlex · Extracted main text
This paper reexamines Abadie and Imbens (2016)'s work on propensity score matching for average treatment effect estimation. We explore the asymptotic behavior of these estimators when the number of nearest neighbors, $M$, grows with the sample size. It is shown, hardly surprising but technically nontrivial, that the modified estimators can improve upon the original fixed-$M$ estimators in terms of efficiency. Additionally, we demonstrate the potential to attain the semiparametric efficiency lower bound when the propensity score achieves "sufficient" dimension reduction, echoing Hahn (1998)'s insight about the role of dimension reduction in propensity score-based causal inference.
appendix boundary found by none_found · 100% of the source is main text. Read the extracted text to check this.
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 | Abadie, A. and Imbens, G. W (2016) Matching on the estimated propensity score | 1.000 | 49 | 8 | 100% |
| 2 | Hahn, J (1998) On the role of the propensity score in efficient semiparametric estimation of average treatment effects | 1.000 | 7 | 4 | 100% |
| 3 | Abadie, A. and Imbens, G. W (2006) Large sample properties of matching estimators for average treatment effects | 0.811 | 4 | 2 | 100% |
| 4 | Andreou, E. and Werker, B. J (2012) An alternative asymptotic analysis of residual-based statistics | 0.811 | 4 | 2 | 100% |
| 5 | Lin, Z., Ding, P., and Han, F (2023) Estimation based on nearest neighbor matching: from density ratio to average treatment effect self | 0.644 | 4 | 1 | 100% |
| 6 | Le Cam, L. and Yang, G. L (2000) Asymptotics in Statistics: Some Basic Concepts (2nd ed.) | 0.511 | 2 | 1 | 100% |
| 7 | Abadie, A. and Imbens, G. W (2011) Bias-corrected matching estimators for average treatment effects | 0.511 | 2 | 1 | 100% |
| 8 | Abadie, A. and Imbens, G. W (2012) A martingale representation for matching estimators | 0.511 | 2 | 1 | 100% |
| 9 | Lin, Z. and Han, F (2022) On regression-adjusted imputation estimators of the average treatment effect self | 0.511 | 2 | 1 | 100% |
| 10 | van der Vaart, A. W (1998) Asymptotic Statistics | 0.511 | 2 | 1 | 100% |
Showing the top 10 of 47 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 consistency of bootstrap for matching estimators | 0.405 | 1 | 1 |
| 2 | On the limiting variance of matching estimators | 0.405 | 1 | 1 |