The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Sharper Bounds for Gaussian and Empirical Processes
Open accessAbstract
Under natural conditions on a class $\mathscr{F}$ of functions on a probability space, near optimal bounds are given for the probabilities $P\big(\sup_{f\in\mathscr{F}}|\sum_{i\leq n} f(X_i) - nE(f)| \geq M\sqrt n\big)$. The method is a variation of this author's method to study the tail probability of the supremum of a Gaussian process.
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Cites
Doob, J. L., & Doob, J. L. (1953) · CERN Document Server (European Organization for Nuclear Research) · Cited by 9,053
Probability Inequalities for sums of Bounded Random Variables
Hoeffding, W. (1994) · Springer Series in Statistics · doi:10.1007/978-1-4612-0865-5_26 · Cited by 6,666
On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
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Dvoretzky, A., Kiefer, J., & Wolfowitz, J. (1956) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177728174 · Cited by 964
A Remark on Stirling’s Formula
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Regularite des trajectoires des fonctions aleatoires gaussiennes
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A course on empirical processes
Dudley, R. M. (1984) · Lecture Notes in Mathematics · doi:10.1007/bfb0099432 · Cited by 384
Regularity of gaussian processes
Talagrand, M. (1987) · Acta Mathematica · doi:10.1007/bf02392556 · Cited by 257
Self-citationA central limit theorem for empirical processes
Pollard, D. (1982) · Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics · doi:10.1017/s1446788700018371 · Cited by 134
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A Reality Check for Data Snooping
White, H. (2000) · Econometrica · doi:10.1111/1468-0262.00152 · Cited by 1,851
Advances in Large-Margin Classifiers
(2000) · The MIT Press eBooks · doi:10.7551/mitpress/1113.001.0001 · Cited by 1,869
Convexity, Classification, and Risk Bounds
Bartlett, P. L., Jordan, M. I., & McAuliffe, J. D. (2006) · Journal of the American Statistical Association · doi:10.1198/016214505000000907 · Cited by 1,037
Generalizing from a Few Examples: A Survey on Few-Shot Learning
Wang, Y., Yao, Q., Kwok, J. T.-Y., & Ni, L. M.-S. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1904.05046 · Cited by 772
Concentration Inequalities and Model Selection
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Metadata
- Authors
- Talagrand, M.
- Venue
- The Annals of Probability
- Publisher
- Institute of Mathematical Statistics
- Published
- 1994-01-01
- Volume
- 22
- Issue
- 1
- ISSN
- 0091-1798 (ISSN-L)
- OpenAlex
- W2042024619
- Cited by
- 480
- References
- 13
- FWCI
- 9.55
- Type
- journal article
- Language
- en
- Open access
- bronze
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
