Francisci, Giacomo; Agostinelli, Claudio; Nieto-Reyes, Alicia; Vidyashankar, Anand N. Analytical and statistical properties of local depth functions motivated by clustering applications. (English) Zbl 07662459 Electron. J. Stat. 17, No. 1, 688-722 (2023). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Dudley, R. M. Classes of functions related to VC properties. (English) Zbl 1337.60019 Vovk, Vladimir (ed.) et al., Measures of complexity. Festschrift for Alexey Chervonenkis. Cham: Springer (ISBN 978-3-319-21851-9/hbk; 978-3-319-21852-6/ebook). 185-196 (2015). MSC: 60F05 60D05 05D05 60-02 × Cite Format Result Cite Review PDF Full Text: DOI
Aistleitner, C.; Brauchart, J. S.; Dick, J. Point sets on the sphere \(\mathbb{S}^{2}\) with small spherical cap discrepancy. (English) Zbl 1272.65003 Discrete Comput. Geom. 48, No. 4, 990-1024 (2012). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 65C05 11K38 11K31 11K36 11K45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Major, Péter An estimate on the supremum of a nice class of stochastic integrals and U-statistics. (English) Zbl 1128.62063 Probab. Theory Relat. Fields 134, No. 3, 489-537 (2006). Reviewer: Neville Weber (Sydney) MSC: 62G20 60H05 60E15 62E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Giné, Evarist; Koltchinskii, Vladimir Concentration inequalities and asymptotic results for ratio type empirical processes. (English) Zbl 1152.60021 Ann. Probab. 34, No. 3, 1143-1216 (2006). MSC: 60E15 60F17 60F15 62G08 68T10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ziegler, Klaus Uniform laws of large numbers for triangular arrays of function-indexed processes under random entropy conditions. (English) Zbl 1007.60020 Result. Math. 39, No. 3-4, 374-389 (2001). Reviewer: Fritz Liese (Rostock) MSC: 60F99 60G55 60E15 × Cite Format Result Cite Review PDF Full Text: DOI
Ragbi, Bouameur Weak convergence for rectangle-indexed weighted multivariate empirical \(U\)-statistic processes under mixing conditions. (English) Zbl 0936.60035 J. Math. Anal. Appl. 221, No. 2, 476-498 (1998). Reviewer: A.K.Basu (Calcutta) MSC: 60F17 60G60 60B12 62G99 × Cite Format Result Cite Review PDF Full Text: DOI
Einmahl, John H. J. Poisson and Gaussian approximation of weighted local empirical processes. (English) Zbl 0911.60004 Stochastic Processes Appl. 70, No. 1, 31-58 (1997). Reviewer: Zuzana Prášková (Praha) MSC: 60F05 62E20 62G30 60F17 × Cite Format Result Cite Review PDF Full Text: DOI
Ziegler, Klaus Functional central limit theorems for triangular arrays of function-indexed processes under uniformly integrable entropy conditions. (English) Zbl 0895.60035 J. Multivariate Anal. 62, No. 2, 233-272 (1997). MSC: 60F17 60G50 62G05 62G07 × Cite Format Result Cite Review PDF Full Text: DOI Link
van der Vaart, Aad New Donsker classes. (English) Zbl 0872.60023 Ann. Probab. 24, No. 4, 2128-2140 (1996). Reviewer: A.van der Vaart (Amsterdam) MSC: 60F17 × Cite Format Result Cite Review PDF Full Text: DOI
Bühlmann, Peter The blockwise bootstrap for general empirical processes of stationary sequences. (English) Zbl 0841.62036 Stochastic Processes Appl. 58, No. 2, 247-265 (1995). MSC: 62G09 62G30 × Cite Format Result Cite Review PDF Full Text: DOI
Romo, Juan The central limit theorem for empirical processes on V-Č classes: A majorizing measure approach. (English) Zbl 0833.60036 Test 3, No. 2, 47-72 (1994). Reviewer: E.Gine (College Station) MSC: 60F17 60B12 × Cite Format Result Cite Review PDF Full Text: DOI
Pötscher, Benedikt M.; Prucha, Ingmar R. Generic uniform convergence and equicontinuity concepts for random functions. An exploration of the basic structure. (English) Zbl 0788.60042 J. Econom. 60, No. 1-2, 23-63 (1994). MSC: 60F15 × Cite Format Result Cite Review PDF Full Text: DOI
Norvaiša, R.; Paulauskas, V. Rate of convergence in the central limit theorem for empirical processes. (English) Zbl 0734.60020 J. Theor. Probab. 4, No. 3, 511-534 (1991). Reviewer: D.Szynal (Lublin) MSC: 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Quiroz, Adolfo J.; Dudley, R. M. Some new tests for multivariate normality. (English) Zbl 0721.62056 Probab. Theory Relat. Fields 87, No. 4, 521-546 (1991). Reviewer: Wang Songgui (Hefei) MSC: 62H15 62E20 62F05 × Cite Format Result Cite Review PDF Full Text: DOI
Alexander, Kenneth S.; Talagrand, Michel The law of the iterated logarithm for empirical processes on Vapnik- Červonenkis classes. (English) Zbl 0688.60021 J. Multivariate Anal. 30, No. 1, 155-166 (1989). Reviewer: E.Gine MSC: 60F15 60B12 × Cite Format Result Cite Review PDF Full Text: DOI
Andersen, Niels T.; Giné, Evarist; Ossiander, Mina; Zinn, Joel The central limit theorem and the law of iterated logarithm for empirical processes under local conditions. (English) Zbl 0618.60022 Probab. Theory Relat. Fields 77, No. 2, 271-305 (1988). MSC: 60F05 60F17 × Cite Format Result Cite Review PDF Full Text: DOI
Alexander, Kenneth S. The central limit theorem for weighted empirical processes indexed by sets. (English) Zbl 0624.60051 J. Multivariate Anal. 22, 313-339 (1987). Reviewer: E.Gine MSC: 60F17 60F05 60B12 60G57 × Cite Format Result Cite Review PDF Full Text: DOI