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
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
Zaitsev, A. Yu. Estimates for the rate of strong Gaussian approximation for sums of i.i.d. multidimensional random vectors. (English. Russian original) Zbl 1288.60038 J. Math. Sci., New York 152, No. 6, 875-884 (2008); translation from Zap. Nauchn. Semin. POMI 351, 141-158 (2007). MSC: 60F15 60E15 60G50 PDF BibTeX XML Cite \textit{A. Yu. Zaitsev}, J. Math. Sci., New York 152, No. 6, 875--884 (2008; Zbl 1288.60038); translation from Zap. Nauchn. Semin. POMI 351, 141--158 (2007) Full Text: DOI
Dembo, Amir; Peres, Yuval; Rosen, Jay; Zeitouni, Ofer Thick points for planar Brownian motion and the Erdős-Taylor conjecture on random walk. (English) Zbl 1008.60063 Acta Math. 186, No. 2, 239-270 (2001). Reviewer: A.D.Barbour (Zürich) MSC: 60G50 60J65 60F15 PDF BibTeX XML Cite \textit{A. Dembo} et al., Acta Math. 186, No. 2, 239--270 (2001; Zbl 1008.60063) Full Text: DOI Link
Zajtsev, A. Yu. Multidimensional variant of the Komlós, Major and Tusnády results for vectors with finite exponential moments. (English. Russian original) Zbl 0971.60033 Dokl. Math. 56, No. 3, 935-937 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 357, No. 6, 731-733 (1997). Reviewer: Tadeusz Inglot (Wrocław) MSC: 60F17 60F15 PDF BibTeX XML Cite \textit{A. Yu. Zajtsev}, Dokl. Math. 56, No. 3, 731--733 (1997; Zbl 0971.60033); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 357, No. 6, 731--733 (1997)
Zajtsev, A. Yu. Estimates for the quantiles of smooth conditional distributions and the multidimensional invariance principle. (English. Russian original) Zbl 0881.60034 Sib. Math. J. 37, No. 4, 706-729 (1996); translation from Sib. Mat. Zh. 37, No. 4, 807-831 (1996). Reviewer: A.V.Bulinskij (Moskva) MSC: 60F17 62A01 PDF BibTeX XML Cite \textit{A. Yu. Zajtsev}, Sib. Math. J. 37, No. 4, 706--729 (1996; Zbl 0881.60034); translation from Sib. Mat. Zh. 37, No. 4, 807--831 (1996) Full Text: DOI
Zaitsev, A. Yu. An improvement of U. Einmahl estimate in the multidimensional invariance principle. (English) Zbl 0873.60020 Ibragimov, I. A. (ed.) et al., Probability theory and mathematical statistics. Lectures presented at the semester held in St. Petersburg, Russia, March 2–April 23, 1993. Amsterdam: Gordon and Breach Publishers. 109-116 (1996). Reviewer: L.Heinrich (Freiberg) MSC: 60F17 60B12 60G50 PDF BibTeX XML Cite \textit{A. Yu. Zaitsev}, in: Probability theory and mathematical statistics. Lectures presented at the semester held in St. Petersburg, Russia, March 2--April 23, 1993. Amsterdam: Gordon and Breach Publishers. 109--116 (1996; Zbl 0873.60020)