Zaitsev, A. Yu. The accuracy of strong Gaussian approximation for sums of independent random vectors. (English. Russian summary) Zbl 1287.60044 Russ. Math. Surv. 68, No. 4, 721-761 (2013); translation from Usp. Mat. Nauk 68, No. 4, 129-172 (2013). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 60F17 60G50 PDF BibTeX XML Cite \textit{A. Yu. Zaitsev}, Russ. Math. Surv. 68, No. 4, 721--761 (2013; Zbl 1287.60044); translation from Usp. Mat. Nauk 68, No. 4, 129--172 (2013) Full Text: DOI
Fisher, Albert M.; Talet, Marina Dynamical attraction to stable processes. (English. French summary) Zbl 1246.37020 Ann. Inst. Henri Poincaré, Probab. Stat. 48, No. 2, 551-578 (2012). Reviewer: Alexander Kachurovskij (Novosibirsk) MSC: 37A50 60F17 60G18 60G52 PDF BibTeX XML Cite \textit{A. M. Fisher} and \textit{M. Talet}, Ann. Inst. Henri Poincaré, Probab. Stat. 48, No. 2, 551--578 (2012; Zbl 1246.37020) Full Text: DOI Euclid
Merlevède, Florence; Rio, Emmanuel Strong approximation of partial sums under dependence conditions with application to dynamical systems. (English) Zbl 1230.60034 Stochastic Processes Appl. 122, No. 1, 386-417 (2012). MSC: 60F17 37E05 60F15 PDF BibTeX XML Cite \textit{F. Merlevède} and \textit{E. Rio}, Stochastic Processes Appl. 122, No. 1, 386--417 (2012; Zbl 1230.60034) Full Text: DOI arXiv
Zaitsev, A. Yu. Rate of strong Gaussian approximation for sums of i.i.d. multidimensional random vectors. (English. Russian original) Zbl 1288.60039 J. Math. Sci., New York 163, No. 4, 399-408 (2009); translation from Zap. Nauchn. Semin. POMI 364, 148-165 (2009). MSC: 60F15 60F17 60G15 60G50 PDF BibTeX XML Cite \textit{A. Yu. Zaitsev}, J. Math. Sci., New York 163, No. 4, 399--408 (2009; Zbl 1288.60039); translation from Zap. Nauchn. Semin. POMI 364, 148--165 (2009) Full Text: DOI
Rio, Emmanuel Strong approximation for set-indexed partial sum processes via KMT constructions. III. (English) Zbl 0930.60016 ESAIM, Probab. Stat. 1, 319-338 (1997). MSC: 60F15 PDF BibTeX XML Cite \textit{E. Rio}, ESAIM, Probab. Stat. 1, 319--338 (1997; Zbl 0930.60016) Full Text: DOI Link EuDML
Einmahl, Uwe On the other law of the iterated logarithm. (English) Zbl 0791.60021 Probab. Theory Relat. Fields 96, No. 1, 97-106 (1993). Reviewer: U.Einmahl (Bloomington) MSC: 60F15 PDF BibTeX XML Cite \textit{U. Einmahl}, Probab. Theory Relat. Fields 96, No. 1, 97--106 (1993; Zbl 0791.60021) Full Text: DOI
Goodman, V.; Kuelb, J. Rates of convergence for increments of Brownian motion. (English) Zbl 0651.60039 J. Theor. Probab. 1, No. 1, 27-63 (1988). Reviewer: J.H.Lou MSC: 60F15 60J65 PDF BibTeX XML Cite \textit{V. Goodman} and \textit{J. Kuelb}, J. Theor. Probab. 1, No. 1, 27--63 (1988; Zbl 0651.60039) Full Text: DOI
Sheu, Shey Shiung; Yao, Yu Shan A strong law of large numbers for martingales. (English) Zbl 0563.60031 Proc. Am. Math. Soc. 92, 283-287 (1984). Reviewer: E.Boylan MSC: 60F15 60G42 60E15 60G40 PDF BibTeX XML Cite \textit{S. S. Sheu} and \textit{Y. S. Yao}, Proc. Am. Math. Soc. 92, 283--287 (1984; Zbl 0563.60031) Full Text: DOI
Csáki, E.; Révész, P. Strong invariance for local times. (English) Zbl 0488.60045 Z. Wahrscheinlichkeitstheor. Verw. Geb. 62, 263-278 (1983). MSC: 60F17 60J55 60J65 PDF BibTeX XML Cite \textit{E. Csáki} and \textit{P. Révész}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 62, 263--278 (1983; Zbl 0488.60045) Full Text: DOI
Major, Peter On the invariance principle for sums of independent identically distributed random variables. (English) Zbl 0408.60028 J. Multivariate Anal. 8, 487-517 (1978). MSC: 60F17 60G50 60G10 PDF BibTeX XML Cite \textit{P. Major}, J. Multivariate Anal. 8, 487--517 (1978; Zbl 0408.60028) Full Text: DOI
Csaki, E. On the lower limits of maxima and minima of Wiener process and partial sums. (English) Zbl 0372.60113 Z. Wahrscheinlichkeitstheor. Verw. Geb. 43, 205-221 (1978). MSC: 60J65 60F15 PDF BibTeX XML Cite \textit{E. Csaki}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 43, 205--221 (1978; Zbl 0372.60113) Full Text: DOI
Chacon, R. V. Potential processes. (English) Zbl 0366.60106 Trans. Am. Math. Soc. 226, 39-58 (1977). MSC: 60J45 31D05 PDF BibTeX XML Cite \textit{R. V. Chacon}, Trans. Am. Math. Soc. 226, 39--58 (1977; Zbl 0366.60106) Full Text: DOI
Csörgö, M.; Revesz, P. A new method to prove Strassen type laws of invariance principle. I. (English) Zbl 0283.60023 Z. Wahrscheinlichkeitstheor. Verw. Geb. 31, 255-259 (1975). MSC: 60F15 PDF BibTeX XML Cite \textit{M. Csörgö} and \textit{P. Revesz}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 31, 255--259 (1975; Zbl 0283.60023) Full Text: DOI
Jain, Naresh C.; Pruitt, William E. Maxima of partial sums of independent random variables. (English) Zbl 0255.60017 Z. Wahrscheinlichkeitstheor. Verw. Geb. 27, 141-151 (1973). MSC: 60G50 60F05 PDF BibTeX XML Cite \textit{N. C. Jain} and \textit{W. E. Pruitt}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 27, 141--151 (1973; Zbl 0255.60017) Full Text: DOI
Kiefer, J. Skorohod embedding of multivariate RV’s, and the sample DF. (English) Zbl 0267.60034 Z. Wahrscheinlichkeitstheor. Verw. Geb. 24, 1-35 (1972). MSC: 60G15 60G17 60F05 PDF BibTeX XML Cite \textit{J. Kiefer}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 24, 1--35 (1972; Zbl 0267.60034) Full Text: DOI
Sawyer, Stanley A remark on the Skorokhod representation. (English) Zbl 0226.60068 Z. Wahrscheinlichkeitstheor. Verw. Geb. 23, 67-74 (1972). MSC: 60G40 PDF BibTeX XML Cite \textit{S. Sawyer}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 23, 67--74 (1972; Zbl 0226.60068) Full Text: DOI
Kiefer, J. On the deviations in the Skorokhod-Strassen approximation scheme. (English) Zbl 0176.48201 Z. Wahrscheinlichkeitstheor. Verw. Geb. 13, 321-332 (1969). PDF BibTeX XML Cite \textit{J. Kiefer}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 13, 321--332 (1969; Zbl 0176.48201) Full Text: DOI