Dudley, Richard M. V.N. Sudakov’s work on expected suprema of Gaussian processes. (English) Zbl 1355.60047 Houdré, Christian (ed.) et al., High dimensional probability VII. The Cargèse volume. Selected papers based on the presentations at the 7th conference, HDP VII, Institut d’Études Scientifiques de Cargèse, IESC, Fance, May 26–30, 2014. Basel: Birkhäuser/Springer (ISBN 978-3-319-40517-9/hbk; 978-3-319-40519-3/ebook). Progress in Probability 71, 37-43 (2016). MSC: 60G15 PDFBibTeX XMLCite \textit{R. M. Dudley}, Prog. Probab. 71, 37--43 (2016; Zbl 1355.60047) Full Text: DOI
Dudley, R. M. Reminiscences, and some explorations about the bootstrap. (English) Zbl 1387.60007 Stochastic Processes Appl. 126, No. 12, 3623-3631 (2016). MSC: 60-03 60-02 60F05 60F17 62F40 PDFBibTeX XMLCite \textit{R. M. Dudley}, Stochastic Processes Appl. 126, No. 12, 3623--3631 (2016; Zbl 1387.60007) Full Text: DOI
Tarieladze, V. Characteristic functionals of probabilistic measures in DS-groups and related topics. (English. Russian original) Zbl 1358.60007 J. Math. Sci., New York 211, No. 2, 137-296 (2015); translation from Sovrem. Mat. Prilozh. 92 (2014). Reviewer: Gennadiy M. Fel’dman (Khar’kov) MSC: 60B15 60B11 28C20 PDFBibTeX XMLCite \textit{V. Tarieladze}, J. Math. Sci., New York 211, No. 2, 137--296 (2015; Zbl 1358.60007); translation from Sovrem. Mat. Prilozh. 92 (2014) Full Text: DOI
Nickl, Richard Donsker-type theorems for nonparametric maximum likelihood estimators. (English) Zbl 1113.60028 Probab. Theory Relat. Fields 138, No. 3-4, 411-449 (2007). MSC: 60F05 62G07 62F12 46F05 PDFBibTeX XMLCite \textit{R. Nickl}, Probab. Theory Relat. Fields 138, No. 3--4, 411--449 (2007; Zbl 1113.60028) Full Text: DOI
Radulović, Dragan; Wegkamp, Marten Necessary and sufficient conditions for weak convergence of smoothed empirical processes. (English) Zbl 1048.62051 Stat. Probab. Lett. 61, No. 3, 321-336 (2003). MSC: 62G20 60F05 60F17 62G30 PDFBibTeX XMLCite \textit{D. Radulović} and \textit{M. Wegkamp}, Stat. Probab. Lett. 61, No. 3, 321--336 (2003; Zbl 1048.62051) Full Text: DOI
Shao, Yongzhao Rate of convergence of bootstrapped empirical measures. (English) Zbl 0998.62048 Stat. Probab. Lett. 53, No. 3, 293-298 (2001). MSC: 62G20 62G09 PDFBibTeX XMLCite \textit{Y. Shao}, Stat. Probab. Lett. 53, No. 3, 293--298 (2001; Zbl 0998.62048) Full Text: DOI
Borovkova, Svetlana; Burton, Robert; Dehling, Herold Limit theorems for functionals of mixing processes with applications to \(U\)-statistics and dimension estimation. (English) Zbl 0980.60031 Trans. Am. Math. Soc. 353, No. 11, 4261-4318 (2001). Reviewer: K.-I.Yoshihara (Tokyo) MSC: 60F05 62M10 PDFBibTeX XMLCite \textit{S. Borovkova} et al., Trans. Am. Math. Soc. 353, No. 11, 4261--4318 (2001; Zbl 0980.60031) Full Text: DOI
Bogachev, V. I. Gaussian measures on linear spaces. (English) Zbl 0881.28009 J. Math. Sci., New York 79, No. 2, 933-1034 (1996). Reviewer: M.Röckner (Bielefeld) MSC: 28C20 46G12 60H07 60B11 PDFBibTeX XMLCite \textit{V. I. Bogachev}, J. Math. Sci., New York 79, No. 2, 933--1034 (1996; Zbl 0881.28009) Full Text: DOI
Arcones, Miguel A. Weak convergence of stochastic processes indexed by smooth functions. (English) Zbl 0849.60005 Stochastic Processes Appl. 62, No. 1, 115-138 (1996). MSC: 60B12 60F05 PDFBibTeX XMLCite \textit{M. A. Arcones}, Stochastic Processes Appl. 62, No. 1, 115--138 (1996; Zbl 0849.60005) Full Text: DOI
Arcones, Miguel A. The central limit theorem for \(U\)-processes indexed by Hölder’s functions. (English) Zbl 0808.60030 Stat. Probab. Lett. 20, No. 1, 57-62 (1994). Reviewer: A.K.Basu (Calcutta) MSC: 60F05 60B12 62E20 PDFBibTeX XMLCite \textit{M. A. Arcones}, Stat. Probab. Lett. 20, No. 1, 57--62 (1994; Zbl 0808.60030) Full Text: DOI
Rhee, WanSoo T. Central limit theorem and increment conditions. (English) Zbl 0621.60024 Stat. Probab. Lett. 4, 191-195 (1986). Reviewer: C.C.Heyde MSC: 60F05 PDFBibTeX XMLCite \textit{W. T. Rhee}, Stat. Probab. Lett. 4, 191--195 (1986; Zbl 0621.60024) Full Text: DOI
Götze, F. Asymptotic expansions in functional limit theorems. (English) Zbl 0557.60027 J. Multivariate Anal. 16, 1-20 (1985). Reviewer: Ch.Hipp MSC: 60F17 60F05 41A60 PDFBibTeX XMLCite \textit{F. Götze}, J. Multivariate Anal. 16, 1--20 (1985; Zbl 0557.60027) Full Text: DOI
Stute, Winfried On a class of stopping times for M-estimators. (English) Zbl 0546.62055 J. Multivariate Anal. 14, 83-93 (1984). Reviewer: R.A.Khan MSC: 62L12 60G40 62F25 60F05 60F15 PDFBibTeX XMLCite \textit{W. Stute}, J. Multivariate Anal. 14, 83--93 (1984; Zbl 0546.62055) Full Text: DOI
de Araujo, Aloisio Pessoa On the central limit theorem in Banach spaces. (English) Zbl 0404.60017 J. Multivariate Anal. 8, 598-613 (1978). MSC: 60B12 60F05 60G99 PDFBibTeX XMLCite \textit{A. P. de Araujo}, J. Multivariate Anal. 8, 598--613 (1978; Zbl 0404.60017) Full Text: DOI
Hahn, Marjorie G. Central limit theorems in \(D[0,1]\). (English) Zbl 0378.60002 Z. Wahrscheinlichkeitstheor. Verw. Geb. 44, 89-101 (1978). MSC: 60B05 60F05 60G15 PDFBibTeX XMLCite \textit{M. G. Hahn}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 44, 89--101 (1978; Zbl 0378.60002) Full Text: DOI
Bolthausen, Erwin Weak convergence of an empirical process indexed by the closed convex subsets of \(I^2\). (English) Zbl 0364.60033 Z. Wahrscheinlichkeitstheor. Verw. Geb. 43, 173-181 (1978). MSC: 60B10 60F05 PDFBibTeX XMLCite \textit{E. Bolthausen}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 43, 173--181 (1978; Zbl 0364.60033) Full Text: DOI
Pisier, Gilles; Zinn, Joel On the limit theorems for random variables with values in the spaces \(L_p\;(2\leq p<\infty)\). (English) Zbl 0364.60031 Z. Wahrscheinlichkeitstheor. Verw. Geb. 41, 289-304 (1978). MSC: 60B10 60F05 28C20 PDFBibTeX XMLCite \textit{G. Pisier} and \textit{J. Zinn}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 41, 289--304 (1978; Zbl 0364.60031) Full Text: DOI
Hahn, Marjorie G. Central limit theorems in \(D[0,1]\). (English) Zbl 0364.60022 Z. Wahrscheinlichkeitstheor. Verw. Geb. 44, 89-101 (1978). MSC: 60B05 60F05 60G15 PDFBibTeX XMLCite \textit{M. G. Hahn}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 44, 89--101 (1978; Zbl 0364.60022) Full Text: DOI
Pisier, Gilles; Zinn, Joel On the limit theorems for random variables with values in the spaces \(L_p\;(2\leq p<\infty)\). (English) Zbl 0353.60011 Z. Wahrscheinlichkeitstheor. Verw. Geb. 41, 289-304 (1978). MSC: 60B10 60F05 28C20 PDFBibTeX XMLCite \textit{G. Pisier} and \textit{J. Zinn}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 41, 289--304 (1978; Zbl 0353.60011) Full Text: DOI
Chobanjan, S. A.; Tarieladze, V. I. Gaussian characterizations of certain Banach spaces. (English) Zbl 0362.60054 J. Multivariate Anal. 7, 183-203 (1977). MSC: 60G15 60B05 28C20 47B10 PDFBibTeX XMLCite \textit{S. A. Chobanjan} and \textit{V. I. Tarieladze}, J. Multivariate Anal. 7, 183--203 (1977; Zbl 0362.60054) Full Text: DOI
Paulauskas, V. J. Estimates of convergence rate in the central limit theorem in C(S). (English. Russian original) Zbl 0392.60022 Lith. Math. J. 16(1976), 587-611 (1977); translation from Liet. Mat. Rink. 16, No. 4, 164-201 (1976). MSC: 60F05 PDFBibTeX XMLCite \textit{V. J. Paulauskas}, Lith. Math. J. 16, 587--611 (1976; Zbl 0392.60022); translation from Liet. Mat. Rink. 16, No. 4, 164--201 (1976) Full Text: DOI
Giné, Evarist Bounds for the speed of convergence in the central limit theorem in \(C(S)\). (English) Zbl 0351.60029 Z. Wahrscheinlichkeitstheor. Verw. Geb. 36, 317-331 (1976). MSC: 60F05 PDFBibTeX XMLCite \textit{E. Giné}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 36, 317--331 (1976; Zbl 0351.60029) Full Text: DOI
Kuelbs, J. The law of the iterated logarithm in \(C[0,1]\). (English) Zbl 0299.60019 Z. Wahrscheinlichkeitstheor. Verw. Geb. 33, 221-235 (1976). MSC: 60F05 PDFBibTeX XMLCite \textit{J. Kuelbs}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 33, 221--235 (1976; Zbl 0299.60019) Full Text: DOI
Jain, Naresh C.; Marcus, Michael B. Central limit theorems for C(S)-valued random variables. (English) Zbl 0305.60004 J. Funct. Anal. 19, 216-231 (1975). MSC: 60B10 60B05 60F05 PDFBibTeX XMLCite \textit{N. C. Jain} and \textit{M. B. Marcus}, J. Funct. Anal. 19, 216--231 (1975; Zbl 0305.60004) Full Text: DOI
Dudley, R. M. Metric entropy and the central limit theorem in C(S). (English) Zbl 0275.60033 Ann. Inst. Fourier 24, No. 2, 49-60 (1974). MSC: 60F05 60B05 PDFBibTeX XMLCite \textit{R. M. Dudley}, Ann. Inst. Fourier 24, No. 2, 49--60 (1974; Zbl 0275.60033) Full Text: DOI Numdam EuDML
Gauglhofer, Margrit; Bharucha-Reid, A. T. \(\varepsilon\)-entropy of sets of probability distribution functions and their Fourier-Stieltjes transforms. (English) Zbl 0261.60011 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. B 9, 113-144 (1973). MSC: 60B15 60E05 94A15 PDFBibTeX XMLCite \textit{M. Gauglhofer} and \textit{A. T. Bharucha-Reid}, Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. B 9, 113--144 (1973; Zbl 0261.60011) Full Text: Numdam EuDML
Neuhaus, Georg Stetigkeitseigenschaften stochastischer Prozesse mit Parameter aus einem pseudometrischen Raum. (German) Zbl 0243.60026 Z. Wahrscheinlichkeitstheor. Verw. Geb. 23, 275-288 (1972). MSC: 60G05 60G17 60B05 PDFBibTeX XMLCite \textit{G. Neuhaus}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 23, 275--288 (1972; Zbl 0243.60026) Full Text: DOI
de Hoyos, A. Continuity and convergence of some processes parameterized by the compact convex sets in \(R^ s\). (English) Zbl 0228.60016 Z. Wahrscheinlichkeitstheor. Verw. Geb. 23, 153-162 (1972). MSC: 60G15 PDFBibTeX XMLCite \textit{A. de Hoyos}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 23, 153--162 (1972; Zbl 0228.60016) Full Text: DOI