Matias D. Cattaneo, Rocio Titiunik, Ruiqi Rae Yu
arXiv 30 Oct 2025 · Econometrics · publishedJournal of Econometrics (2026)
arXiv:2510.26051 · PDF · DOI · OpenAlex · Extracted main text
We study the statistical properties of nonparametric distance-based (isotropic) local polynomial regression estimators of the boundary average treatment effect curve, a key causal functional parameter capturing heterogeneous treatment effects in boundary discontinuity designs. We present necessary and/or sufficient conditions for identification, estimation, and inference in large samples, both pointwise and uniformly along the boundary. Our theoretical results highlight the crucial role played by the “regularity” of the boundary (a one-dimensional manifold) over which identification, estimation, and inference are conducted. Our methods are illustrated with simulated data. Companion general-purpose software is provided.
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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 | Cattaneo, Matias D. and Yu, Ruiqi (Rae) (2025) Strong Approximations for Empirical Processes Indexed by Lipschitz Functions self | 1.000 | 18 | 4 | 100% |
| 2 | Dudley, Richard M (2014) Uniform central limit theorems | 0.737 | 3 | 2 | 100% |
| 3 | van der Vaart, Aad W. and Wellner, Jon A (1996) Weak Convergence and Empirical Processes | 0.737 | 3 | 2 | 100% |
| 4 | Chernozhukov, Victor and Chetverikov, Denis and Kato, Kengo (2014) Gaussian Approximation of Suprema of Empirical Processes | 0.644 | 4 | 1 | 100% |
| 5 | Cattaneo, Matias D. and Chandak, Rajita and Jansson, Michael and Ma,… (2024) Boundary Adaptive Local Polynomial Conditional Density Estimators self | 0.511 | 2 | 1 | 100% |
| 6 | Cattaneo, Matias D. and Titiunik, Rocio and Yu, Ruiqi (Rae) (2026) Estimation and Inference in Boundary Discontinuity Designs: Location-Based Methods self | 0.405 | 1 | 1 | 100% |
| 7 | Chernozhukov, Victor and Chetverikov, Denis and Kato, Kengo (2014) Anti-Concentration and Honest, Adaptive Confidence Bands | 0.405 | 1 | 1 | 100% |
| 8 | Giné, Evarist and Nickl, Richard (2016) Mathematical Foundations of Infinite-dimensional Statistical Models | 0.405 | 1 | 1 | 100% |
| 9 | Chernozhuokov, Victor and Chetverikov, Denis and Kato, Kengo and Koi… (2022) Improved central limit theorem and bootstrap approximations in high dimensions | 0.405 | 1 | 1 | 100% |
| 10 | Federer, Herbert (2014) Geometric measure theory | 0.405 | 1 | 1 | 100% |
Showing the top 10 of 13 scored citations.
arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.
| Citing paper | Intensity | Mentions | Sections | |
|---|---|---|---|---|
| 1 | Boundary Discontinuity Designs: Theory and Practice | 1.000 | 10 | 4 |
| 2 | Global Testing in Multivariate Regression Discontinuity Designs | 0.405 | 1 | 1 |