Bamberger, Stefan; Krahmer, Felix; Ward, Rachel The Hanson-Wright inequality for random tensors. (English) Zbl 1495.60003 Sampl. Theory Signal Process. Data Anal. 20, No. 2, Paper No. 14, 35 p. (2022). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60B20 15A69 60E15 PDF BibTeX XML Cite \textit{S. Bamberger} et al., Sampl. Theory Signal Process. Data Anal. 20, No. 2, Paper No. 14, 35 p. (2022; Zbl 1495.60003) Full Text: DOI arXiv OpenURL
Maurer, Andreas Entropy and concentration. (English) Zbl 1484.60021 De Mari, Filippo (ed.) et al., Harmonic and applied analysis. From Radon transforms to machine learning. Based on contributions presented at the 2nd and 3rd summer schools on applied harmonic analysis, University of Genova, Genova, Italy, 2017 and 2019. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 55-100 (2021). Reviewer: Fraser Daly (Edinburgh) MSC: 60E15 60C05 PDF BibTeX XML Cite \textit{A. Maurer}, in: Harmonic and applied analysis. From Radon transforms to machine learning. Based on contributions presented at the 2nd and 3rd summer schools on applied harmonic analysis, University of Genova, Genova, Italy, 2017 and 2019. Cham: Birkhäuser. 55--100 (2021; Zbl 1484.60021) Full Text: DOI OpenURL
Adamczak, Radosław; Latała, Rafał; Meller, Rafał Moments of Gaussian chaoses in Banach spaces. (English) Zbl 1469.60064 Electron. J. Probab. 26, Paper No. 11, 36 p. (2021). MSC: 60E15 60B11 60G15 PDF BibTeX XML Cite \textit{R. Adamczak} et al., Electron. J. Probab. 26, Paper No. 11, 36 p. (2021; Zbl 1469.60064) Full Text: DOI arXiv OpenURL
Davezies, Laurent; D’Haultfœuille, Xavier; Guyonvarch, Yannick Empirical process results for exchangeable arrays. (English) Zbl 1480.60074 Ann. Stat. 49, No. 2, 845-862 (2021). MSC: 60F17 60G09 62F40 PDF BibTeX XML Cite \textit{L. Davezies} et al., Ann. Stat. 49, No. 2, 845--862 (2021; Zbl 1480.60074) Full Text: DOI arXiv OpenURL
Nakano, Fumihiko; Trinh, Khanh Duy Poisson statistics for beta ensembles on the real line at high temperature. (English) Zbl 1437.60014 J. Stat. Phys. 179, No. 2, 632-649 (2020). MSC: 60F05 60B20 60G55 PDF BibTeX XML Cite \textit{F. Nakano} and \textit{K. D. Trinh}, J. Stat. Phys. 179, No. 2, 632--649 (2020; Zbl 1437.60014) Full Text: DOI arXiv OpenURL
Liu, Wei; Wu, Liming Large deviations for empirical measures of mean-field Gibbs measures. (English) Zbl 1471.60038 Stochastic Processes Appl. 130, No. 2, 503-520 (2020). MSC: 60F10 60K35 82C22 PDF BibTeX XML Cite \textit{W. Liu} and \textit{L. Wu}, Stochastic Processes Appl. 130, No. 2, 503--520 (2020; Zbl 1471.60038) Full Text: DOI arXiv OpenURL
Bouzebda, S.; Nemouchi, B. Central limit theorems for conditional empirical and conditional \(U\)-processes of stationary mixing sequences. (English) Zbl 1425.60024 Math. Methods Stat. 28, No. 3, 169-207 (2019). MSC: 60F05 60G15 60G10 62G08 62G07 PDF BibTeX XML Cite \textit{S. Bouzebda} and \textit{B. Nemouchi}, Math. Methods Stat. 28, No. 3, 169--207 (2019; Zbl 1425.60024) Full Text: DOI OpenURL
Maurer, Andreas A Bernstein-type inequality for functions of bounded interaction. (English) Zbl 1459.60052 Bernoulli 25, No. 2, 1451-1471 (2019). Reviewer: Taizhong Hu (Hefei) MSC: 60E15 62G99 PDF BibTeX XML Cite \textit{A. Maurer}, Bernoulli 25, No. 2, 1451--1471 (2019; Zbl 1459.60052) Full Text: DOI arXiv Euclid OpenURL
Joly, Emilien; Lugosi, Gábor Robust estimation of \(U\)-statistics. (English) Zbl 1386.60074 Stochastic Processes Appl. 126, No. 12, 3760-3773 (2016). MSC: 60E15 62H30 62G35 62H12 PDF BibTeX XML Cite \textit{E. Joly} and \textit{G. Lugosi}, Stochastic Processes Appl. 126, No. 12, 3760--3773 (2016; Zbl 1386.60074) Full Text: DOI arXiv OpenURL
Koltchinskii, Vladimir; Nickl, Richard; Van de Geer, Sara; Wellner, Jon A. The mathematical work of Evarist Giné. (English) Zbl 1388.01029 Stochastic Processes Appl. 126, No. 12, 3607-3622 (2016). MSC: 01A70 60-03 PDF BibTeX XML Cite \textit{V. Koltchinskii} et al., Stochastic Processes Appl. 126, No. 12, 3607--3622 (2016; Zbl 1388.01029) Full Text: DOI OpenURL
Junge, Marius; Zeng, Qiang Subgaussian 1-cocycles on discrete groups. (English) Zbl 1341.46036 J. Lond. Math. Soc., II. Ser. 92, No. 2, 242-264 (2015). MSC: 46L53 60E15 22D25 PDF BibTeX XML Cite \textit{M. Junge} and \textit{Q. Zeng}, J. Lond. Math. Soc., II. Ser. 92, No. 2, 242--264 (2015; Zbl 1341.46036) Full Text: DOI arXiv OpenURL
Adamczak, Radosław; Latała, Rafał Tail and moment estimates for chaoses generated by symmetric random variables with logarithmically concave tails. (English. French summary) Zbl 1263.60016 Ann. Inst. Henri Poincaré, Probab. Stat. 48, No. 4, 1103-1136 (2012). Reviewer: B. L. S. Prakasa Rao (Hyderabad) MSC: 60E15 PDF BibTeX XML Cite \textit{R. Adamczak} and \textit{R. Latała}, Ann. Inst. Henri Poincaré, Probab. Stat. 48, No. 4, 1103--1136 (2012; Zbl 1263.60016) Full Text: DOI arXiv Euclid OpenURL
Fu, Ke-Ang; Zhang, Li-Xin Characterization of LIL behavior for non-degenerate \(B\)-valued \(U\)-statistics. (English) Zbl 1196.60047 Commun. Stat., Theory Methods 39, No. 7, 1258-1269 (2010). Reviewer: Neville Weber (Sydney) MSC: 60F15 PDF BibTeX XML Cite \textit{K.-A. Fu} and \textit{L.-X. Zhang}, Commun. Stat., Theory Methods 39, No. 7, 1258--1269 (2010; Zbl 1196.60047) Full Text: DOI OpenURL
Candès, Emmanuel J.; Recht, Benjamin Exact matrix completion via convex optimization. (English) Zbl 1219.90124 Found. Comput. Math. 9, No. 6, 717-772 (2009). Reviewer: Nikolaj M. Glazunov (Kyïv) MSC: 90C25 90C59 15B52 90-02 PDF BibTeX XML Cite \textit{E. J. Candès} and \textit{B. Recht}, Found. Comput. Math. 9, No. 6, 717--772 (2009; Zbl 1219.90124) Full Text: DOI OpenURL
Giné, Evarist; Mason, David M. On local \(U\)-statistic processes and the estimation of densities of functions of several sample variables. (English) Zbl 1175.60017 Ann. Stat. 35, No. 3, 1105-1145 (2007). MSC: 60F05 60F15 62E20 62G30 PDF BibTeX XML Cite \textit{E. Giné} and \textit{D. M. Mason}, Ann. Stat. 35, No. 3, 1105--1145 (2007; Zbl 1175.60017) Full Text: DOI arXiv OpenURL
de la Peña, Victor H.; Ibragimov, Rustam; Sharakhmetov, Shaturgun On extremal distributions and sharp \(L_p\)-bounds for sums of multilinear forms. (English) Zbl 1033.60019 Ann. Probab. 31, No. 2, 630-675 (2003). Reviewer: Jean-Claude Massé (Quebec) MSC: 60E15 60F25 60G50 PDF BibTeX XML Cite \textit{V. H. de la Peña} et al., Ann. Probab. 31, No. 2, 630--675 (2003; Zbl 1033.60019) Full Text: DOI OpenURL
Eichelsbacher, Peter Moderate deviations for degenerate \(U\)-processes. (English) Zbl 1045.60029 Stochastic Processes Appl. 87, No. 2, 255-279 (2000). Reviewer: Zuzana Prášková (Praha) MSC: 60F10 60B12 60G17 PDF BibTeX XML Cite \textit{P. Eichelsbacher}, Stochastic Processes Appl. 87, No. 2, 255--279 (2000; Zbl 1045.60029) Full Text: DOI OpenURL
Bretagnolle, Jean A new large deviation inequality for \(U\)-statistics of order \(2\). (English) Zbl 0957.60031 ESAIM, Probab. Stat. 3, 151-162 (1999). Reviewer: Aleksandras Plikusas (Vilnius) MSC: 60F10 PDF BibTeX XML Cite \textit{J. Bretagnolle}, ESAIM, Probab. Stat. 3, 151--162 (1999; Zbl 0957.60031) Full Text: DOI EuDML OpenURL
Guionnet, Alice Stability of precise Laplace’s method under approximations: Applications. (English) Zbl 0932.60031 ESAIM, Probab. Stat. 3, 67-88 (1999). MSC: 60F10 60F05 60E15 PDF BibTeX XML Cite \textit{A. Guionnet}, ESAIM, Probab. Stat. 3, 67--88 (1999; Zbl 0932.60031) Full Text: DOI EuDML OpenURL
Eichelsbacher, Peter Moderate and large deviations for \(U\)-processes. (English) Zbl 0934.60019 Stochastic Processes Appl. 74, No. 2, 273-296 (1998). Reviewer: M.Hušková (Praha) MSC: 60F10 60F05 62G20 PDF BibTeX XML Cite \textit{P. Eichelsbacher}, Stochastic Processes Appl. 74, No. 2, 273--296 (1998; Zbl 0934.60019) Full Text: DOI OpenURL
Duembgen, Lutz Symmetrization and decoupling of combinatorial random elements. (English) Zbl 0920.60004 Stat. Probab. Lett. 39, No. 4, 355-361 (1998). Reviewer: N.Curteanu (Iaşi) MSC: 60E15 PDF BibTeX XML Cite \textit{L. Duembgen}, Stat. Probab. Lett. 39, No. 4, 355--361 (1998; Zbl 0920.60004) Full Text: DOI OpenURL
de la Peña, Victor; Lai, Tze Leung Moments of randomly stopped \(U\)-statistics. (English) Zbl 0902.60037 Ann. Probab. 25, No. 4, 2055-2081 (1997). Reviewer: V.Mackevičius (Vilnius) MSC: 60G40 60F25 62L12 PDF BibTeX XML Cite \textit{V. de la Peña} and \textit{T. L. Lai}, Ann. Probab. 25, No. 4, 2055--2081 (1997; Zbl 0902.60037) Full Text: DOI OpenURL
Bentkus, V.; Götze, F.; van Zwet, W. R. An Edgeworth expansion for symmetric statistics. (English) Zbl 0920.62016 Ann. Stat. 25, No. 2, 851-896 (1997). Reviewer: K.-i.Yoshihara (Tokyo) MSC: 62E20 60F05 PDF BibTeX XML Cite \textit{V. Bentkus} et al., Ann. Stat. 25, No. 2, 851--896 (1997; Zbl 0920.62016) Full Text: DOI OpenURL
Su, Zhonggen The law of the iterated logarithm and Marcinkiewicz law of large numbers for \(B\)-valued \(U\)-statistics. (English) Zbl 0855.60003 J. Theor. Probab. 9, No. 3, 679-701 (1996). MSC: 60B12 60F15 PDF BibTeX XML Cite \textit{Z. Su}, J. Theor. Probab. 9, No. 3, 679--701 (1996; Zbl 0855.60003) Full Text: DOI OpenURL
Giné, Evarist; Zhang, Cun-Hui On integrability in the LIL for degenerate \(U\)-statistics. (English) Zbl 0873.60015 J. Theor. Probab. 9, No. 2, 385-412 (1996). Reviewer: H.Dehling (Groningen) MSC: 60F15 PDF BibTeX XML Cite \textit{E. Giné} and \textit{C.-H. Zhang}, J. Theor. Probab. 9, No. 2, 385--412 (1996; Zbl 0873.60015) Full Text: DOI OpenURL
Arcones, Miguel A.; Giné, Evarist On the law of the iterated logarithm for canonical \(U\)-statistics and processes. (English) Zbl 0829.60003 Stochastic Processes Appl. 58, No. 2, 217-245 (1995). MSC: 60B12 60F15 62G20 60G99 62G30 PDF BibTeX XML Cite \textit{M. A. Arcones} and \textit{E. Giné}, Stochastic Processes Appl. 58, No. 2, 217--245 (1995; Zbl 0829.60003) Full Text: DOI OpenURL
Arcones, Miguel A. A Bernstein-type inequality for \(U\)-statistics and \(U\)-processes. (English) Zbl 0819.60021 Stat. Probab. Lett. 22, No. 3, 239-247 (1995). Reviewer: N.Weber (Sydney) MSC: 60E15 PDF BibTeX XML Cite \textit{M. A. Arcones}, Stat. Probab. Lett. 22, No. 3, 239--247 (1995; Zbl 0819.60021) Full Text: DOI OpenURL
Bickel, Peter J.; Ritov, Ya’acov An exponential inequality for \(U\)-statistics with applications to testing. (English) Zbl 1335.60013 Probab. Eng. Inf. Sci. 9, No. 1, 39-52 (1995). MSC: 60E15 60G42 62G10 PDF BibTeX XML Cite \textit{P. J. Bickel} and \textit{Y. Ritov}, Probab. Eng. Inf. Sci. 9, No. 1, 39--52 (1995; Zbl 1335.60013) Full Text: DOI OpenURL
de la Peña, Victor H.; Montgomery-Smith, S. J. Bounds on the tail probability of \(U\)-statistics and quadratic forms. (English) Zbl 0822.60014 Bull. Am. Math. Soc., New Ser. 31, No. 2, 223-227 (1994). Reviewer: V.Thangaraj (Madras) MSC: 60E15 60D05 60E05 PDF BibTeX XML Cite \textit{V. H. de la Peña} and \textit{S. J. Montgomery-Smith}, Bull. Am. Math. Soc., New Ser. 31, No. 2, 223--227 (1994; Zbl 0822.60014) Full Text: DOI arXiv OpenURL
Arcones, Miguel A.; Giné, Evarist \(U\)-processes indexed by Vapnik-Červonenkis classes of functions with applications to asymptotics and bootstrap of \(U\)-statistics with estimated parameters. (English) Zbl 0807.62014 Stochastic Processes Appl. 52, No. 1, 17-38 (1994). Reviewer: L.Paditz (Dresden) MSC: 62E20 60F05 60F15 62G20 PDF BibTeX XML Cite \textit{M. A. Arcones} and \textit{E. Giné}, Stochastic Processes Appl. 52, No. 1, 17--38 (1994; Zbl 0807.62014) Full Text: DOI OpenURL
Arcones, M. A. Limits of canonical \(U\)-processes and \(B\)-valued \(U\)-statistics. (English) Zbl 0807.60008 J. Theor. Probab. 7, No. 2, 339-349 (1994). Reviewer: T.Inglot (Wrocław) MSC: 60B12 60G15 PDF BibTeX XML Cite \textit{M. A. Arcones}, J. Theor. Probab. 7, No. 2, 339--349 (1994; Zbl 0807.60008) Full Text: DOI OpenURL
Arcones, M. A.; Yu, B. Central limit theorems for empirical and \(U\)-processes of stationary mixing sequences. (English) Zbl 0786.60028 J. Theor. Probab. 7, No. 1, 47-71 (1994). MSC: 60F15 PDF BibTeX XML Cite \textit{M. A. Arcones} and \textit{B. Yu}, J. Theor. Probab. 7, No. 1, 47--71 (1994; Zbl 0786.60028) Full Text: DOI OpenURL