Edit Profile (opens in new tab) Zaitsev, Andrei Yu. Co-Author Distance Author ID: zaitsev.andrei-yu Published as: Zaitsev, A. Yu.; Zajtsev, A. Yu.; Zaĭtsev, A. Yu.; Zaitsev, Andrei Yu. more...less External Links: MGP · ORCID · Wikidata · arXiv · Math-Net.Ru Documents Indexed: 104 Publications since 1980, including 2 Books and 3 Additional arXiv Preprints 6 Contributions as Editor Co-Authors: 23 Co-Authors with 38 Joint Publications 782 Co-Co-Authors all top 5 Co-Authors 71 single-authored 21 Götze, Friedrich 6 Lifshits, Mikhail A. 5 Arak, Taivo 5 Borodin, Andreĭ Nikolaevich 5 Eliseeva, Yulia S. 3 Ibragimov, Il’dar Abdullovich 3 Nikitin, Yakov Yur’evich 1 Bentkus, Vidmants-Kastytis 1 Ermakov, Mikhaĭl Sergeevich 1 Giné-Masdéu, Evarist 1 Golubev, Yuriĭ K. 1 Kagan, Abram Meerovich 1 Kutoyants, Yury A. 1 Leble, Serguey 1 Lepskiĭ, Oleg Vital’evich 1 Mason, David Michael 1 Petrov, Valentin Vladimirovich 1 Pilyugin, Sergeĭ Yur’evich 1 Solev, Valentin N. 1 Spokoĭnyĭ, Vladimir Grigor’evich 1 Stepanova, Natalia A. 1 Sudakov, Vladimir Nikolaevich 1 Tsybakov, Alexandre B. 1 Zaporozhets, Dmitry 1 Zinger, Abram Aronovich all top 5 Serials 24 Journal of Mathematical Sciences (New York) 16 Theory of Probability and its Applications 9 Teoriya Veroyatnosteĭ i eë Primeneniya 8 Journal of Soviet Mathematics 8 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 5 Soviet Mathematics. Doklady 4 Vestnik St. Petersburg University. Mathematics 4 Zapiski Nauchnykh Seminarov POMI 2 The Annals of Probability 2 Siberian Mathematical Journal 2 Probability Theory and Related Fields 2 Doklady Mathematics 1 Russian Mathematical Surveys 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Journal of Theoretical Probability 1 Journal of Physics A: Mathematical and General 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Annales de l’I.S.U.P. 1 European Journal of Mathematics all top 5 Fields 106 Probability theory and stochastic processes (60-XX) 13 Statistics (62-XX) 5 General and overarching topics; collections (00-XX) 4 Number theory (11-XX) 3 History and biography (01-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 77 Publications have been cited 524 times in 237 Documents Cited by ▼ Year ▼ On the Gaussian approximation of convolutions under multidimensional analogues of S. N. Bernstein’s inequality conditions. Zbl 0612.60031 Zajtsev, A. Yu. 36 1987 Multidimensional version of the results of Komlós, Major and Tusnády for vectors with finite exponential moments. Zbl 0897.60033 Zaitsev, A. Yu. 36 1998 Uniform limit theorems for the sums of independent random variables. (Равномерные пределъные теоремы для сумм независимых случайныхк величин.) Zbl 0606.60028 Arak, T. V.; Zaĭtsev, A. Yu. 32 1986 Uniform limit theorems for sums of independent random variables. Transl. from Russian. Zbl 0659.60070 Arak, T. V.; Zajtsev, A. Yu. 31 1988 The \(L_1\)-norm density estimator process. Zbl 1031.62026 Giné, Evarist; Mason, David M.; Zaitsev, Andrei Yu. 31 2003 On the accuracy of approximation of distributions of sums of independent random variables – which are nonzero with a small probability – by means of accompanying laws. Zbl 0544.60036 Zaĭtsev, A. Yu. 22 1984 Multidimensional version of the second uniform limit theorem of Kolmogorov. Zbl 0683.60015 Zajtsev, A. Yu. 19 1989 Explicit rates of approximation in the CLT for quadratic forms. Zbl 1290.60021 Götze, Friedrich; Zaitsev, Andrei Yu. 16 2014 Bounds for the rate of strong approximation in the multidimensional invariance principle. Zbl 1196.60053 Götze, F.; Zaitsev, A. Yu. 15 2009 Multidimensional version of a result of Sakhanenko in the invariance principle for vectors with finite exponential moments. I. Zbl 0994.60029 Zaitsev, A. Yu. 14 2000 Estimates of the Lévy-Prokhorov distance in the multivariate central limit theorem for random variables with finite exponential moments. Zbl 0659.60042 Zajtsev, A. Yu. 13 1987 On the uniform approximation of distributions of sums of independent random variables. Zbl 0662.60037 Zajtsev, A. Yu. 12 1987 Estimates for the strong approximation in multidimensional central limit theorem. Zbl 1014.60018 Zaitsev, A. Yu. 12 2002 Estimates for the closeness of successive convolutions of multidimensional symmetric distributions. Zbl 0631.60022 Zaĭtsev, A. Yu. 11 1988 The accuracy of strong Gaussian approximation for sums of independent random vectors. Zbl 1287.60044 Zaitsev, A. Yu. 11 2013 Some properties of \(N\)-fold convolutions of distributions. Zbl 0473.60021 Zaĭtsev, A. Yu. 8 1981 An example of a distribution whose set of \(n\)-fold convolutions is uniformly separated from the set of infinitely divisible laws in distance in variation. Zbl 0774.60020 Zajtsev, A. Yu. 8 1991 Estimates for the concentration functions in the Littlewood-Offord problem. Zbl 1332.15093 Eliseeva, Yu. S.; Götze, F.; Zaitsev, A. Yu. 8 2015 Estimates of the concentration functions of weighted sums of independent random variables. Zbl 1294.60033 Eliseeva, Yu. S.; Zaitsev, A. Yu. 8 2013 Estimates for the rapid decay of concentration functions of \(n\)-fold convolutions. Zbl 0936.60014 Götze, F.; Zaitsev, A. Yu. 8 1998 On a multidimensional generalization of the method of triangular functions. Zbl 0659.60069 Zajtsev, A. Yu. 7 1987 Multidimensional version of a result of Sakhanenko in the invariance principle for vectors with finite exponential moments. II. Zbl 1039.60031 Zajtsev, A. Yu. 7 2001 Approximation of a sample by a Poisson point process. Zbl 1086.60029 Zajtsev, A. Yu. 7 2003 On the rate of convergence in Kolmogorov’s second uniform limit theorem. Zbl 0534.60023 Zaĭtsev, A. Yu.; Arak, T. V. 6 1984 Rate of strong Gaussian approximation for sums of i.i.d. multidimensional random vectors. Zbl 1288.60039 Zaitsev, A. Yu. 6 2009 Arak’s inequalities for concentration functions and the Littlewood-Offord problem. Zbl 1360.60041 Götze, F.; Eliseeva, Yu. S.; Zaitsev, A. Yu. 6 2016 Multidimensional version of a result of Sakhanenko in the invariance principle for vectors with finite exponential moments. III. Zbl 1039.60032 Zajtsev, A. Yu. 6 2001 An estimate for the proximity of distributions of sequential sums of independent, identically distributed random vectors. Zbl 0452.60023 Zaĭtsev, A. Yu. 5 1980 Approximation of quadratic forms of independent random vectors by accompanying laws. Zbl 0913.60034 Bentkus, V.; Götze, F.; Zaitsev, A. Yu. 5 1997 A multiplicative inequality for concentration functions of \(n\)-fold convolutions. Zbl 0969.60023 Götze, Friedrich; Zaitsev, Andrei Yu. 5 2000 Estimates for the quantiles of smooth conditional distributions and the multidimensional invariance principle. Zbl 0881.60034 Zajtsev, A. Yu. 4 1996 Approximation of convolutions of multi-dimensional symmetric distributions by accompanying laws. Zbl 0784.60033 Zajtsev, A. Yu. 4 1989 On the rate of convergence in the second Kolmogorov’s uniform limit theorem. Zbl 0517.60023 Zaĭtsev, A. Yu.; Arak, T. V. 4 1983 Approximation of convolutions of probability distributions by infinitely divisible laws under weakened moment restrictions. Zbl 0830.60014 Zajtsev, A. Yu. 4 1992 Certain class of nonuniform estimates in multidimensional limit theorems. Zbl 0836.60006 Zajtsev, A. Yu. 4 1994 Estimates for the rate of strong approximation in Hilbert space. Zbl 1235.60028 Götze, F.; Zaitsev, A. Yu. 4 2011 Rates of approximation in the multidimensional invariance principle for sums of i.i.d. random vectors with finite moments. Zbl 1288.60041 Götze, F.; Zaitsev, A. Yu. 4 2010 Estimates for closeness of convolutions of probability distributions on convex polyhedra. Zbl 1471.60029 Götze, F.; Zaitsev, A. Yu. 4 2020 Estimation of proximity of distributions of sequential sums of independent identically distributed random vectors. Zbl 0531.60018 Zaĭtsev, A. Yu. 3 1984 On the accuracy of approximation of distributions of sums of independent random variables, which are non-zero with a small probability, by accompanying laws. Zbl 0527.60026 Zaĭtsev, A. Yu. 3 1983 Estimates of the Levi-Prohorov distance in the central limit theorem for random vectors with finite exponential moments. Zbl 0604.60021 Zajtsev, A. Yu. 3 1986 A bound for the maximal probability in the Littlewood-Offord problem. Zbl 1376.60037 Zaitsev, A. Yu. 3 2016 Estimates for the rate of strong Gaussian approximation for sums of i.i.d. multidimensional random vectors. Zbl 1288.60038 Zaitsev, A. Yu. 3 2008 Multidimensional generalized method of triangular functions. Zbl 0711.60043 Zajtsev, A. Yu. 3 1988 Multivariate version of the second Kolmogorov’s uniform limit theorem. Zbl 0665.60031 Zajtsev, A. Yu. 3 1989 On the Littlewood-Offord problem. Zbl 1381.60060 Eliseeva, Yu. S.; Zaitsev, A. Yu. 3 2016 New applications of Arak’s inequalities to the Littlewood-Offord problem. Zbl 1392.60041 Götze, Friedrich; Zaitsev, Andrei Yu. 3 2018 Approximation of convolutions by accompanying laws without centering. Zbl 1077.60004 Götze, F.; Zaitsev, A. Yu. 3 2004 Optimal estimates for the rate of strong Gaussian approximate in a Hilbert space. Zbl 1273.60036 Zaitsev, A. Yu. 3 2013 Multidimensional variant of the Komlós, Major and Tusnády results for vectors with finite exponential moments. Zbl 0971.60033 Zajtsev, A. Yu. 3 1997 Rare events and Poisson point processes. Zbl 1459.60108 Götze, F.; Zaitsev, A. Yu. 3 2020 Approximation of convolutions of probability distributions by infinitely divisible laws in case of weakened moment constraints. Zbl 0769.60024 Zajtsev, A. Yu. 3 1992 On approximation by Gaussian distributions under realization of multidimensional analogues of Bernstein conditions. Zbl 0583.60042 Zajtsev, A. Yu. 2 1984 Some remarks concerning the approximation of distributions of sums of independent summands. Zbl 0552.60014 Zajtsev, A. Yu. 2 1984 An improvement of U. Einmahl estimate in the multidimensional invariance principle. Zbl 0873.60020 Zaitsev, A. Yu. 2 1996 Uniform rates of approximation by short asymptotic expansions in the CLT for quadratic forms. Zbl 1290.60020 Götze, F.; Zaitsev, A. Yu. 2 2011 Toward the history of the Saint St. Petersburg school of probability and statistics. I: Limit theorems for sums of independent random variables. Zbl 1401.60002 Lifshits, M. A.; Nikitin, Ya. Yu.; Petrov, V. V.; Zaitsev, A. Yu.; Zinger, A. A. 2 2018 On approximation of convolutions by accompanying laws in the scheme of series. Zbl 1348.60036 Zaitsev, A. Yu. 2 2014 On a class of non-uniform estimates in multivariate limit theorems. Zbl 0742.60013 Zajtsev, A. Yu. 2 1990 Estimates for the rate of strong approximation in the multidimensional invariance principle. Zbl 1115.60038 Zajtsev, A. Yu. 2 2006 On the rate of decay of concentration functions of \(n\)-fold convolutions of probability distributions. Zbl 1253.60047 Zaitsev, A. Yu. 2 2011 On the approximation of convolutions of multidimensional symmetric distributions by accompanying laws. Zbl 0728.60025 Zajtsev, A. Yu. 2 1989 Multidimensional Hungarian construction for vectors with almost Gaussian smooth distributions. Zbl 1019.60032 Götze, F.; Zaitsev, A. Yu. 2 2001 On the strong Gaussian approximation in multidimensional case. Zbl 1055.60032 Zaitsev, A. Yu. 2 2001 An improved multivariate version of Kolmogorov’s second uniform limit theorem. Zbl 1477.60033 Götze, F.; Zaitsev, A. Yu.; Zaporozhets, D. 2 2021 On alternative approximating distributions in the multivariate version of Kolmogorov’s second uniform limit theorem. Zbl 1492.60056 Götze, F.; Zaitsev, A. Yu. 2 2022 On the approximation of convolutions of multidimensional distributions. Zbl 0566.60025 Zajtsev, A. Yu. 1 1985 Some remarks regarding the approximation of distributions of sums of independent terms. Zbl 0585.60025 Zajtsev, A. Yu. 1 1986 On the uniform approximation of distributions of sums of independent random variables. Zbl 0621.60025 Zajtsev, A. Yu. 1 1987 Approximation of convolutions of multidimensional distributions. Zbl 0612.60024 Zajtsev, A. Yu. 1 1987 Approximation by infinitely divisible laws in the multidimensional case. Zbl 0527.60016 Zaĭtsev, A. Yu. 1 1983 Arak inequalities for concentration functions and the Littlewood-Offord problem. Zbl 1461.60016 Götze, F.; Eliseeva, Yu. S.; Zaitsev, A. Yu. 1 2018 Approximation of convolutions by accompanying laws under the existence of moments of low orders. Zbl 0930.60003 Zajtsev, A. Yu. 1 1996 Moderate deviations for the \(L_1\)-norm of kernel density estimators. Zbl 1272.62032 Zaitsev, A. Yu. 1 2005 Convergence to infinite-dimensional compound Poisson distributions on convex polyhedra. Zbl 1518.60016 Götze, F.; Zaitsev, A. Yu. 1 2023 Estimates of the rate of approximation in a de-Poissonization lemma. Zbl 1019.60017 Zaitsev, Andrei Yu. 1 2002 Instability of the inversion of the Radon transform. Zbl 0866.44002 Zajtsev, A. Yu. 1 1994 Convergence to infinite-dimensional compound Poisson distributions on convex polyhedra. Zbl 1518.60016 Götze, F.; Zaitsev, A. Yu. 1 2023 On alternative approximating distributions in the multivariate version of Kolmogorov’s second uniform limit theorem. Zbl 1492.60056 Götze, F.; Zaitsev, A. Yu. 2 2022 An improved multivariate version of Kolmogorov’s second uniform limit theorem. Zbl 1477.60033 Götze, F.; Zaitsev, A. Yu.; Zaporozhets, D. 2 2021 Estimates for closeness of convolutions of probability distributions on convex polyhedra. Zbl 1471.60029 Götze, F.; Zaitsev, A. Yu. 4 2020 Rare events and Poisson point processes. Zbl 1459.60108 Götze, F.; Zaitsev, A. Yu. 3 2020 New applications of Arak’s inequalities to the Littlewood-Offord problem. Zbl 1392.60041 Götze, Friedrich; Zaitsev, Andrei Yu. 3 2018 Toward the history of the Saint St. Petersburg school of probability and statistics. I: Limit theorems for sums of independent random variables. Zbl 1401.60002 Lifshits, M. A.; Nikitin, Ya. Yu.; Petrov, V. V.; Zaitsev, A. Yu.; Zinger, A. A. 2 2018 Arak inequalities for concentration functions and the Littlewood-Offord problem. Zbl 1461.60016 Götze, F.; Eliseeva, Yu. S.; Zaitsev, A. Yu. 1 2018 Arak’s inequalities for concentration functions and the Littlewood-Offord problem. Zbl 1360.60041 Götze, F.; Eliseeva, Yu. S.; Zaitsev, A. Yu. 6 2016 A bound for the maximal probability in the Littlewood-Offord problem. Zbl 1376.60037 Zaitsev, A. Yu. 3 2016 On the Littlewood-Offord problem. Zbl 1381.60060 Eliseeva, Yu. S.; Zaitsev, A. Yu. 3 2016 Estimates for the concentration functions in the Littlewood-Offord problem. Zbl 1332.15093 Eliseeva, Yu. S.; Götze, F.; Zaitsev, A. Yu. 8 2015 Explicit rates of approximation in the CLT for quadratic forms. Zbl 1290.60021 Götze, Friedrich; Zaitsev, Andrei Yu. 16 2014 On approximation of convolutions by accompanying laws in the scheme of series. Zbl 1348.60036 Zaitsev, A. Yu. 2 2014 The accuracy of strong Gaussian approximation for sums of independent random vectors. Zbl 1287.60044 Zaitsev, A. Yu. 11 2013 Estimates of the concentration functions of weighted sums of independent random variables. Zbl 1294.60033 Eliseeva, Yu. S.; Zaitsev, A. Yu. 8 2013 Optimal estimates for the rate of strong Gaussian approximate in a Hilbert space. Zbl 1273.60036 Zaitsev, A. Yu. 3 2013 Estimates for the rate of strong approximation in Hilbert space. Zbl 1235.60028 Götze, F.; Zaitsev, A. Yu. 4 2011 Uniform rates of approximation by short asymptotic expansions in the CLT for quadratic forms. Zbl 1290.60020 Götze, F.; Zaitsev, A. Yu. 2 2011 On the rate of decay of concentration functions of \(n\)-fold convolutions of probability distributions. Zbl 1253.60047 Zaitsev, A. Yu. 2 2011 Rates of approximation in the multidimensional invariance principle for sums of i.i.d. random vectors with finite moments. Zbl 1288.60041 Götze, F.; Zaitsev, A. Yu. 4 2010 Bounds for the rate of strong approximation in the multidimensional invariance principle. Zbl 1196.60053 Götze, F.; Zaitsev, A. Yu. 15 2009 Rate of strong Gaussian approximation for sums of i.i.d. multidimensional random vectors. Zbl 1288.60039 Zaitsev, A. Yu. 6 2009 Estimates for the rate of strong Gaussian approximation for sums of i.i.d. multidimensional random vectors. Zbl 1288.60038 Zaitsev, A. Yu. 3 2008 Estimates for the rate of strong approximation in the multidimensional invariance principle. Zbl 1115.60038 Zajtsev, A. Yu. 2 2006 Moderate deviations for the \(L_1\)-norm of kernel density estimators. Zbl 1272.62032 Zaitsev, A. Yu. 1 2005 Approximation of convolutions by accompanying laws without centering. Zbl 1077.60004 Götze, F.; Zaitsev, A. Yu. 3 2004 The \(L_1\)-norm density estimator process. Zbl 1031.62026 Giné, Evarist; Mason, David M.; Zaitsev, Andrei Yu. 31 2003 Approximation of a sample by a Poisson point process. Zbl 1086.60029 Zajtsev, A. Yu. 7 2003 Estimates for the strong approximation in multidimensional central limit theorem. Zbl 1014.60018 Zaitsev, A. Yu. 12 2002 Estimates of the rate of approximation in a de-Poissonization lemma. Zbl 1019.60017 Zaitsev, Andrei Yu. 1 2002 Multidimensional version of a result of Sakhanenko in the invariance principle for vectors with finite exponential moments. II. Zbl 1039.60031 Zajtsev, A. Yu. 7 2001 Multidimensional version of a result of Sakhanenko in the invariance principle for vectors with finite exponential moments. III. Zbl 1039.60032 Zajtsev, A. Yu. 6 2001 Multidimensional Hungarian construction for vectors with almost Gaussian smooth distributions. Zbl 1019.60032 Götze, F.; Zaitsev, A. Yu. 2 2001 On the strong Gaussian approximation in multidimensional case. Zbl 1055.60032 Zaitsev, A. Yu. 2 2001 Multidimensional version of a result of Sakhanenko in the invariance principle for vectors with finite exponential moments. I. Zbl 0994.60029 Zaitsev, A. Yu. 14 2000 A multiplicative inequality for concentration functions of \(n\)-fold convolutions. Zbl 0969.60023 Götze, Friedrich; Zaitsev, Andrei Yu. 5 2000 Multidimensional version of the results of Komlós, Major and Tusnády for vectors with finite exponential moments. Zbl 0897.60033 Zaitsev, A. Yu. 36 1998 Estimates for the rapid decay of concentration functions of \(n\)-fold convolutions. Zbl 0936.60014 Götze, F.; Zaitsev, A. Yu. 8 1998 Approximation of quadratic forms of independent random vectors by accompanying laws. Zbl 0913.60034 Bentkus, V.; Götze, F.; Zaitsev, A. Yu. 5 1997 Multidimensional variant of the Komlós, Major and Tusnády results for vectors with finite exponential moments. Zbl 0971.60033 Zajtsev, A. Yu. 3 1997 Estimates for the quantiles of smooth conditional distributions and the multidimensional invariance principle. Zbl 0881.60034 Zajtsev, A. Yu. 4 1996 An improvement of U. Einmahl estimate in the multidimensional invariance principle. Zbl 0873.60020 Zaitsev, A. Yu. 2 1996 Approximation of convolutions by accompanying laws under the existence of moments of low orders. Zbl 0930.60003 Zajtsev, A. Yu. 1 1996 Certain class of nonuniform estimates in multidimensional limit theorems. Zbl 0836.60006 Zajtsev, A. Yu. 4 1994 Instability of the inversion of the Radon transform. Zbl 0866.44002 Zajtsev, A. Yu. 1 1994 Approximation of convolutions of probability distributions by infinitely divisible laws under weakened moment restrictions. Zbl 0830.60014 Zajtsev, A. Yu. 4 1992 Approximation of convolutions of probability distributions by infinitely divisible laws in case of weakened moment constraints. Zbl 0769.60024 Zajtsev, A. Yu. 3 1992 An example of a distribution whose set of \(n\)-fold convolutions is uniformly separated from the set of infinitely divisible laws in distance in variation. Zbl 0774.60020 Zajtsev, A. Yu. 8 1991 On a class of non-uniform estimates in multivariate limit theorems. Zbl 0742.60013 Zajtsev, A. Yu. 2 1990 Multidimensional version of the second uniform limit theorem of Kolmogorov. Zbl 0683.60015 Zajtsev, A. Yu. 19 1989 Approximation of convolutions of multi-dimensional symmetric distributions by accompanying laws. Zbl 0784.60033 Zajtsev, A. Yu. 4 1989 Multivariate version of the second Kolmogorov’s uniform limit theorem. Zbl 0665.60031 Zajtsev, A. Yu. 3 1989 On the approximation of convolutions of multidimensional symmetric distributions by accompanying laws. Zbl 0728.60025 Zajtsev, A. Yu. 2 1989 Uniform limit theorems for sums of independent random variables. Transl. from Russian. Zbl 0659.60070 Arak, T. V.; Zajtsev, A. Yu. 31 1988 Estimates for the closeness of successive convolutions of multidimensional symmetric distributions. Zbl 0631.60022 Zaĭtsev, A. Yu. 11 1988 Multidimensional generalized method of triangular functions. Zbl 0711.60043 Zajtsev, A. Yu. 3 1988 On the Gaussian approximation of convolutions under multidimensional analogues of S. N. Bernstein’s inequality conditions. Zbl 0612.60031 Zajtsev, A. Yu. 36 1987 Estimates of the Lévy-Prokhorov distance in the multivariate central limit theorem for random variables with finite exponential moments. Zbl 0659.60042 Zajtsev, A. Yu. 13 1987 On the uniform approximation of distributions of sums of independent random variables. Zbl 0662.60037 Zajtsev, A. Yu. 12 1987 On a multidimensional generalization of the method of triangular functions. Zbl 0659.60069 Zajtsev, A. Yu. 7 1987 On the uniform approximation of distributions of sums of independent random variables. Zbl 0621.60025 Zajtsev, A. Yu. 1 1987 Approximation of convolutions of multidimensional distributions. Zbl 0612.60024 Zajtsev, A. Yu. 1 1987 Uniform limit theorems for the sums of independent random variables. (Равномерные пределъные теоремы для сумм независимых случайныхк величин.) Zbl 0606.60028 Arak, T. V.; Zaĭtsev, A. Yu. 32 1986 Estimates of the Levi-Prohorov distance in the central limit theorem for random vectors with finite exponential moments. Zbl 0604.60021 Zajtsev, A. Yu. 3 1986 Some remarks regarding the approximation of distributions of sums of independent terms. Zbl 0585.60025 Zajtsev, A. Yu. 1 1986 On the approximation of convolutions of multidimensional distributions. Zbl 0566.60025 Zajtsev, A. Yu. 1 1985 On the accuracy of approximation of distributions of sums of independent random variables – which are nonzero with a small probability – by means of accompanying laws. Zbl 0544.60036 Zaĭtsev, A. Yu. 22 1984 On the rate of convergence in Kolmogorov’s second uniform limit theorem. Zbl 0534.60023 Zaĭtsev, A. Yu.; Arak, T. V. 6 1984 Estimation of proximity of distributions of sequential sums of independent identically distributed random vectors. Zbl 0531.60018 Zaĭtsev, A. Yu. 3 1984 On approximation by Gaussian distributions under realization of multidimensional analogues of Bernstein conditions. Zbl 0583.60042 Zajtsev, A. Yu. 2 1984 Some remarks concerning the approximation of distributions of sums of independent summands. Zbl 0552.60014 Zajtsev, A. Yu. 2 1984 On the rate of convergence in the second Kolmogorov’s uniform limit theorem. Zbl 0517.60023 Zaĭtsev, A. Yu.; Arak, T. V. 4 1983 On the accuracy of approximation of distributions of sums of independent random variables, which are non-zero with a small probability, by accompanying laws. Zbl 0527.60026 Zaĭtsev, A. Yu. 3 1983 Approximation by infinitely divisible laws in the multidimensional case. Zbl 0527.60016 Zaĭtsev, A. Yu. 1 1983 Some properties of \(N\)-fold convolutions of distributions. Zbl 0473.60021 Zaĭtsev, A. Yu. 8 1981 An estimate for the proximity of distributions of sequential sums of independent, identically distributed random vectors. Zbl 0452.60023 Zaĭtsev, A. Yu. 5 1980 all cited Publications top 5 cited Publications all top 5 Cited by 250 Authors 33 Zaitsev, Andrei Yu. 25 Čekanavičius, Vydas 20 Götze, Friedrich 12 Mason, David Michael 9 Gwynne, Ewain 8 Roos, Bero 6 Novak, Serguei Yu. 6 Varron, Davit 5 Eliseeva, Yulia S. 5 Liu, Weidong 5 Ul’yanov, Vladimir Vasil’evich 4 Chistyakov, Gennadiĭ Petrovich 4 Lifshits, Mikhail A. 3 Einmahl, Uwe 3 Elijio, Aistė 3 Giné-Masdéu, Evarist 3 Kifer, Yuri 3 Miller, Jason P. 3 Vellaisamy, Palaniappan 3 Whang, Yoon-Jae 3 Wu, Wei Biao 3 Zhou, Zhou 2 Adell, José Antonio 2 Aly, Emad-Eldin A. A. 2 Bobkov, Sergey Germanovich 2 Bolthausen, Erwin 2 Borga, Jacopo 2 Cai, Tianwen 2 Cattaneo, Matias D. 2 Chebana, Fateh 2 Ciuperca, Gabriela 2 Cuny, Christophe 2 Dedecker, Jérôme 2 Fang, Xiao 2 Feng, Long 2 Golikova, Ia. S. 2 Jirak, Moritz 2 Keller, Nathan 2 Klein, Ohad 2 Kuelbs, James D. 2 Lee, Sokbae 2 Lei, Liangzhen 2 Lekuona, Alberto 2 Liaudanskaitė, Gabija 2 López-Díaz, Miguel 2 Madiman, Mokshay M. 2 Maller, Ross Arthur 2 Merlevède, Florence 2 Nikitin, Yakov Yur’evich 2 Ouimet, Frédéric 2 Phillips, Peter Charles Bonest 2 Shao, Qi-Man 2 Sheffield, Scott 2 Šliogere, Jūratė 2 Song, Kyungchul 2 Zeitouni, Ofer 1 Al-Jarallah, Reem A. 1 Aleškevičienė, Aldona K. 1 Amir, Gideon 1 Anderson, Brendon G. 1 Ayvazyan, Sagak A. 1 Barbour, Andrew David 1 Bashtova, Elena 1 Baur, Erich 1 Benjamini, Itai 1 Bentkus, Vidmants-Kastytis 1 Berkes, István 1 Berrahou, Noureddine 1 Bertozzi, Andrea Louise 1 Bibbona, Enrico 1 Biswas, Swagata 1 Blinova, D. I. 1 Bloznelis, Mindaugas 1 Bogachev, Vladimir Igorevich 1 Borodin, Andreĭ Nikolaevich 1 Bovier, Anton 1 Buchmann, Boris 1 Cao, Hongyuan 1 Carleos, Carlos 1 Chatterjee, Sourav 1 Cheng, Qing 1 Chernozhukov, Victor 1 Chetverikov, Denis 1 Čiegis, Raimondas 1 Cosco, Clément 1 Courbot, Bernard 1 Cui, Yan 1 da Costa, Paulo Henrique P. 1 da Silva, William 1 Davie, Alexander M. 1 Davydov, Youri 1 Davydov, Yu. A. 1 Dereich, Steffen 1 Dimitrov, Evgeni I. 1 Ding, Jian 1 Doukhan, Paul 1 Dragičević, Davor 1 Drees, Holger 1 Drton, Mathias 1 Duraj, Jetlir ...and 150 more Authors all top 5 Cited in 67 Serials 27 Journal of Mathematical Sciences (New York) 16 Lithuanian Mathematical Journal 16 The Annals of Probability 15 Stochastic Processes and their Applications 10 The Annals of Statistics 10 Journal of Theoretical Probability 9 Theory of Probability and its Applications 9 Journal of Econometrics 9 Bernoulli 8 Probability Theory and Related Fields 6 Statistics & Probability Letters 6 The Annals of Applied Probability 4 Communications in Mathematical Physics 4 Journal of Statistical Planning and Inference 4 Vestnik St. Petersburg University. Mathematics 3 Siberian Mathematical Journal 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 3 Extremes 3 Electronic Journal of Statistics 3 Probability Surveys 2 Metrika 2 Advances in Mathematics 2 Journal of the American Statistical Association 2 Journal of Soviet Mathematics 2 Transactions of the American Mathematical Society 2 Insurance Mathematics & Economics 2 Electronic Journal of Probability 2 Doklady Mathematics 2 Acta Mathematica Sinica. English Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Advances in Applied Probability 1 The Canadian Journal of Statistics 1 Journal of Statistical Physics 1 Moscow University Mathematics Bulletin 1 Russian Mathematical Surveys 1 Scandinavian Journal of Statistics 1 Annals of the Institute of Statistical Mathematics 1 Journal of Applied Probability 1 Journal of Multivariate Analysis 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Probability and Mathematical Statistics 1 Stochastic Analysis and Applications 1 Statistics 1 SIAM Journal on Discrete Mathematics 1 Communications in Statistics. Theory and Methods 1 Journal of Statistical Computation and Simulation 1 Potential Analysis 1 Theory of Probability and Mathematical Statistics 1 Applied and Computational Harmonic Analysis 1 Mathematical Methods of Statistics 1 Combinatorics, Probability and Computing 1 Statistical Papers 1 Statistica Sinica 1 Reliable Computing 1 Econometric Theory 1 Nonlinear Analysis. Modelling and Control 1 Journal of the Institute of Mathematics of Jussieu 1 Stochastics 1 Sankhyā. Series A 1 ISRN Probability and Statistics 1 European Journal of Mathematics 1 Annales Henri Lebesgue 1 Stat all top 5 Cited in 27 Fields 187 Probability theory and stochastic processes (60-XX) 97 Statistics (62-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Numerical analysis (65-XX) 8 Statistical mechanics, structure of matter (82-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Combinatorics (05-XX) 5 Number theory (11-XX) 3 History and biography (01-XX) 3 Convex and discrete geometry (52-XX) 2 Partial differential equations (35-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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