Andrii Babii, Rohit Kumar
arXiv 15 Aug 2019 · Mathematics — Statistics Theory · publishedJournal of Econometrics (2019) · 1 citations (OpenAlex)
arXiv:1908.05752 · PDF · DOI · OpenAlex · Extracted main text
This paper studies the estimation and inference for the isotonic regression at the boundary point, an object that is particularly interesting and required in the analysis of monotone regression discontinuity designs. We show that the isotonic regression is inconsistent in this setting and derive the asymptotic distributions of boundary corrected estimators. Interestingly, the boundary corrected estimators can be bootstrapped without subsampling or additional nonparametric smoothing which is not the case for the interior point. The Monte Carlo experiments indicate that shape restrictions can improve dramatically the finite-sample performance of unrestricted estimators. Lastly, we apply the isotonic regression discontinuity designs to estimate the causal effect of incumbency in the U.S. House elections.
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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 | J. Kim and D. Pollard (1990) Cube root asymptotics | 1.000 | 12 | 4 | 100% |
| 2 | A. W. van der Vaart and J. A. Wellner (1996) Weak convergence and empirical processes: with applications to statistics | 1.000 | 11 | 4 | 100% |
| 3 | J. Hahn, P. Todd, and W. Van Der Klaauw (2001) Identification and estimation of treatment effects with a regression-discontinuity design | 1.000 | 7 | 3 | 100% |
| 4 | D. Lee (2007) Randomized experiments from non-random selection in u.s. house elections | 1.000 | 6 | 3 | 100% |
| 5 | V. Kulikov and H. Lopuhaä (2006) The behavior of the npmle of a decreasing density near the boundaries of the support | 1.000 | 5 | 3 | 100% |
| 6 | S. Calonico, M. D. Cattaneo, and M. H. Farrell (2020) Optimal bandwidth choice for robust bias-corrected inference in regression discontinuity designs | 0.843 | 3 | 3 | 100% |
| 7 | B. Sen, M. Banerjee, and M. Woodroofe (1953) Inconsistency of bootstrap: The grenander estimator | 0.737 | 3 | 2 | 100% |
| 8 | F. Wright (1981) The asymptotic behavior of monotone regression estimates | 0.737 | 3 | 2 | 100% |
| 9 | J. Abrevaya and J. Huang (2005) On the bootstrap of the maximum score estimator | 0.644 | 2 | 2 | 100% |
| 10 | M. Ayer, H. D. Brunk, G. M. Ewing, W. T. Reid, and E. Silverman (1955) An empirical distribution function for sampling with incomplete information | 0.644 | 2 | 2 | 100% |
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