Weak Convergence and Empirical Processes
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Convergence of Probability Measures
Billingsley, P. (1999) · Wiley series in probability and statistics · doi:10.1002/9780470316962 · Cited by 14,153 · see citing works
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Difference-in-Differences with multiple time periods
Callaway, B., & Sant’Anna, P. H. C. (2021) · Journal of Econometrics · doi:10.1016/j.jeconom.2020.12.001 · Cited by 9,126 · see citing works
Estimation of entropy and mutual information
Paninski, L. (2003) · Neural Computation · doi:10.1162/089976603321780272 · Cited by 1,442 · see citing works
A More Credible Approach to Parallel Trends
Rambachan, A., & Roth, J. (2023) · Review of Economic Studies · doi:10.1093/restud/rdad018 · Cited by 1,559 · see citing works
Semiparametric regression for the mean and rate functions of recurrent events
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Efficient Estimation of Models with Conditional Moment Restrictions Containing Unknown Functions
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Dynamic panels with threshold effect and endogeneity
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Murphy, S. A., & Van Der Vaart, A. W. (2000) · Journal of the American Statistical Association · doi:10.1080/01621459.2000.10474219 · Cited by 712 · see citing works
Self-citationDiagnosing and responding to violations in the positivity assumption
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Consistency of spectral clustering
von Luxburg, U., Belkin, M., & Bousquet, O. (2008) · The Annals of Statistics · doi:10.1214/009053607000000640 · Cited by 540 · see citing works
Estimation of semiparametric models when the criterion function is not smooth
Chen, X., Linton, O., & Van Keilegom, I. (2003) · Econometrica · doi:10.1111/1468-0262.00461 · Cited by 411 · see citing works
Fuzzy differences-in-differences
de Chaisemartin, C., & D’HaultfŒuille, X. (2018) · The Review of Economic Studies · doi:10.1093/restud/rdx049 · Cited by 324 · see citing works
The Wild Bootstrap with a “Small” Number of “Large” Clusters
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Cross-Validation With Confidence
Lei, J. (2020) · Journal of the American Statistical Association · doi:10.1080/01621459.2019.1672556 · Cited by 93 · see citing works
Doubly robust uniform confidence band for the conditional average treatment effect function
Lee, S., Okui, R., & Whang, Y. (2017) · Journal of Applied Econometrics · doi:10.1002/jae.2574 · Cited by 67 · see citing works
Cox, G., & Shi, X. (2023) · The Review of Economic Studies · doi:10.1093/restud/rdac015 · Cited by 48 · see citing works
Targeted learning with daily EHR data
Sofrygin, O., Zhu, Z., Schmittdiel, J. A., Adams, A. S., Grant, R. W., van der Laan, M. J., & Neugebauer, R. (2019) · Statistics in Medicine · doi:10.1002/sim.8164 · Cited by 35 · see citing works
Efficient Tests Under a Weak Convergence Assumption
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Testing for Equivalence of Pre-Trends in Difference-in-Differences Estimation
Dette, H., & Schumann, M. (2024) · Journal of Business & Economic Statistics · doi:10.1080/07350015.2024.2308121 · Cited by 30 · see citing works
“Consequently, we obtain from the Cramer-Wold device and Theorem 2.12.1 in van der Vaart & Wellner (1996) where ⃗ B is a T -dimensional vector of independent Brownian motions, ¨ W i ¨ u i ¨ u ′ i For sufficiently large sample sizes the quantile where Φ is the cdf of the standard normal distribution.”
Influential
- Authors
- van der Vaart, A. W., & Wellner, J. A.
- Affiliations
- University of Washington (US)
- ORCID
- Wellner, Jon A.
- Venue
- Springer Series in Statistics
- Publisher
- Springer New York
- Published
- 1996
- ISSN
- 0172-7397 (ISSN-L)
- OpenAlex
- W2010353172
- Cited by
- 5,014
- References
- 1
- Citations by year
- 2026: 135 · 2025: 235 · 2024: 208 · 2023: 196 · 2022: 192 · 2021: 241 · 2020: 275 · 2019: 268 · 2018: 204 · 2017: 216 · 2016: 225 · 2015: 235 · 2014: 248 · 2013: 251 · 2012: 226
- FWCI
- 16.79
- Type
- book
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Springer series in statistics (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Funders
- National Science Foundation
- University of Washington
- Nederlandse Organisatie voor Wetenschappelijk Onderzoek
- Centre National de la Recherche Scientifique
- National Institute of Allergy and Infectious Diseases
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Inference
- Physical Sciences › Mathematics › Mathematical Physics › Stochastic processes and statistical mechanics
- Keywords
- weak convergence, empirical processes, stochastic convergence, probability theory
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
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