Edit Profile (opens in new tab) Sazonov, Vyacheslav Vasil’evich Compute Distance To: Compute Author ID: sazonov.vyacheslav-vasilevich Published as: Sazonov, V. V.; Sazonov, V.; Sazonov, Vyacheslav Vasil’evich; Sazonov, Viatcheslav V.; Sazonov, Vjaceslav V. more...less External Links: MGP · Wikidata · Math-Net.Ru Documents Indexed: 80 Publications since 1958, including 1 Book 6 Contributions as Editor · 1 Further Contribution Co-Authors: 17 Co-Authors with 48 Joint Publications 865 Co-Co-Authors all top 5 Co-Authors 39 single-authored 17 Ul’yanov, Vladimir Vasil’evich 16 Zalesskij, Boris Andreevich 6 Prokhorov, Yuriĭ Vasil’evich 5 Lo, Albert Y. 4 Puri, Madan Lal 3 Grigelionis, Bronius I. 3 Regazzini, Eugenio 3 Statulevičius, Vytautas 2 Kandelaki, N. P. 2 Mirantsev, V. G. 1 Amosova, N. N. 1 Borovskikh, Yuri V. 1 Christoph, Gerd 1 Faddeev, Lyudvig Dmitrievich 1 Heinrich, Lothar 1 Macht, Wolfgang 1 Mikosch, Thomas 1 Novikov, Sergeĭ Petrovich 1 Paditz, Ludwig 1 Parthasarathy, Kalyanapuram Rangachari 1 Rao, Malempati M. 1 Richter, Wolf-Dieter 1 Sasvári, Zoltán 1 Shervashidze, Tengiz 1 Siegel, Gerhard 1 Tutubalin, Valeriĭ Nikolaevich 1 Wolf, Werner all top 5 Serials 18 Teoriya Veroyatnosteĭ i eë Primeneniya 16 Theory of Probability and its Applications 2 Russian Mathematical Surveys 2 Journal of Multivariate Analysis 2 Sankhyā. Series A. Methods and Techniques 2 Selected Translations in Mathematical Statistics and Probability 2 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Doklady Akademii Nauk SSSR 1 Journal of Applied Mathematics and Mechanics 1 Annals of the Institute of Statistical Mathematics 1 Soviet Mathematics. Doklady 1 Acta Applicandae Mathematicae 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Litovskiĭ Matematicheskiĭ Sbornik 1 Mathematics of the USSR, Sbornik 1 Proceedings of the National Academy of Sciences of the United States of America 1 Matematicheskiĭ Sbornik 1 Georgian Mathematical Journal 1 The Bulletin of the Hong Kong Mathematical Society 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 1 Lecture Notes in Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Translations. Series 2. American Mathematical Society 1 İstatistik all top 5 Fields 55 Probability theory and stochastic processes (60-XX) 13 Statistics (62-XX) 7 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 201 times in 172 Documents Cited by ▼ Year ▼ Normal approximation - some recent advances. Zbl 0462.60006Sazonov, Vjaceslav V. 34 1981 On characteristic functionals. Zbl 0089.33801Sazonov, V. 27 1958 On perfect measures. (Translated by Allen Shields). Zbl 0152.04301Sazonov, V. V. 22 1965 On the multi-dimensional central limit theorem. Zbl 0209.49601Sazonov, V. V. 21 1968 Probability distributions on topological groups. Zbl 0171.38701Sazonov, V. V.; Tutubalin, V. N. 17 1966 Approximation of laws of random probabilities by mixtures of Dirichlet distributions with applications to nonparametric Bayesian inference. Zbl 0984.60030Regazzini, E.; Sazonov, V. V. 9 2000 On a bound for the rate of convergence in the multidimensional central limit theorem. Zbl 0274.60019Sazonov, V. V. 8 1972 On \(\omega^2\) criterion. Zbl 0177.47201Sazonov, V. V. 7 1968 An improvement of a convergence rate estimate. Zbl 0185.46402Sazonov, V. V. 7 1969 On the speed of convergence in the multidimensional central limit theorem. Zbl 0196.20801Sazonov, V. V. 5 1968 A new general estimate of the rate of convergence in the central limit theorem in R\(^k\). Zbl 0277.60010Sazonov, V. V. 4 1974 On the Glivenko-Cantelli theorem. Zbl 0122.13501Sazonov, V. V. 4 1963 An improvement of a convergence-rate estimate. Zbl 0204.51205Sazonov, V. V. 3 1969 On the estimation of moments of sums of independent random variables. Zbl 0321.60046Sazonov, V. V. 3 1974 Asymptotic expansions of the probability that the sum of independent random variables hits a ball in a Hilbert space. Zbl 0860.60006Sazonov, V. V.; Ul’yanov, V. V. 3 1995 On a central limit theorem for random elements with values in Hilbert space. Zbl 0147.17201Kandelaki, N. P.; Sazonov, V. V. 3 1964 Periodic solutions of sets of ordinary differential equations with a large parameter. Zbl 0586.34036Sazonov, V. V. 2 1985 On the multidimensional central limit theorem with a weakened condition on moments. Zbl 0281.60019Sazonov, V. V. 2 1973 A projective limit theorem for probability spaces and applications. Zbl 0808.60001Rao, M. M.; Sazonov, V. V. 2 1993 A regular estimate of the accuracy of normal approximation in Hilbert space. Zbl 0679.60008Zalesskij, B. A.; Sazonov, V. V.; Ul’yanov, V. V. 2 1988 On the accuracy of normal approximation. Zbl 0499.60022Sazonov, V. V.; Ulyanov, V. V. 2 1982 Some results concerning perfect measures. Zbl 0122.29803Sazonov, V. V. 2 1962 Some results associated with Bochner’s theorem. Zbl 0126.14803Prokhorov, Yu. V.; Sazonov, V. 2 1962 Probability theory and mathematical statistics. Proceedings of the fifth Vilnius conference, Vilnius, Lithuania, June 25-July 1, 1989. Volume II. Zbl 0725.00014 1 1990 An improved estimate of the accuracy of Gaussian approximation in Hilbert space. Zbl 0803.60006Sazonov, V. V.; Ulyanov, V. V. 1 1991 Approximation of laws of multinomial parameters by mixtures of Dirichlet distributions with applications to Bayesian inference. Zbl 0946.62014Regazzini, Eugenio; Sazonov, Viatcheslav V. 1 1999 Normal approximation of \(U\)-statistics in Hilbert space. Zbl 0889.60004Borovskikh, Yu. V.; Puri, Madan L.; Sazonov, V. V. 1 1996 Normal approximation in Hilbert space. II. Zbl 0675.60009Zalesskij, B. A.; Sazonov, V. V.; Ul’yanov, V. V. 1 1988 A precise estimate of the rate of convergence in the central limit theorem in Hilbert space. Zbl 0709.60006Zalesskij, B. A.; Sazonov, V. V.; Ul’yanov, V. V. 1 1990 On the closeness of moments in normal approximation in Hilbert space. Zbl 0515.60013Zalesskij, B. A.; Sazonov, V. V. 1 1983 On the multidimensional central limit theorem. Zbl 0122.13301Sazonov, V. V. 1 1963 On multidimensional concentration functions. Zbl 0161.37204Sazonov, V. V. 1 1966 Über Verteilungen in Räumen, die zu geordneten linearen Räumen dual sind. Zbl 0173.41004Sazonov, V. V. 1 1964 Approximation of laws of random probabilities by mixtures of Dirichlet distributions with applications to nonparametric Bayesian inference. Zbl 0984.60030Regazzini, E.; Sazonov, V. V. 9 2000 Approximation of laws of multinomial parameters by mixtures of Dirichlet distributions with applications to Bayesian inference. Zbl 0946.62014Regazzini, Eugenio; Sazonov, Viatcheslav V. 1 1999 Normal approximation of \(U\)-statistics in Hilbert space. Zbl 0889.60004Borovskikh, Yu. V.; Puri, Madan L.; Sazonov, V. V. 1 1996 Asymptotic expansions of the probability that the sum of independent random variables hits a ball in a Hilbert space. Zbl 0860.60006Sazonov, V. V.; Ul’yanov, V. V. 3 1995 A projective limit theorem for probability spaces and applications. Zbl 0808.60001Rao, M. M.; Sazonov, V. V. 2 1993 An improved estimate of the accuracy of Gaussian approximation in Hilbert space. Zbl 0803.60006Sazonov, V. V.; Ulyanov, V. V. 1 1991 Probability theory and mathematical statistics. Proceedings of the fifth Vilnius conference, Vilnius, Lithuania, June 25-July 1, 1989. Volume II. Zbl 0725.00014 1 1990 A precise estimate of the rate of convergence in the central limit theorem in Hilbert space. Zbl 0709.60006Zalesskij, B. A.; Sazonov, V. V.; Ul’yanov, V. V. 1 1990 A regular estimate of the accuracy of normal approximation in Hilbert space. Zbl 0679.60008Zalesskij, B. A.; Sazonov, V. V.; Ul’yanov, V. V. 2 1988 Normal approximation in Hilbert space. II. Zbl 0675.60009Zalesskij, B. A.; Sazonov, V. V.; Ul’yanov, V. V. 1 1988 Periodic solutions of sets of ordinary differential equations with a large parameter. Zbl 0586.34036Sazonov, V. V. 2 1985 On the closeness of moments in normal approximation in Hilbert space. Zbl 0515.60013Zalesskij, B. A.; Sazonov, V. V. 1 1983 On the accuracy of normal approximation. Zbl 0499.60022Sazonov, V. V.; Ulyanov, V. V. 2 1982 Normal approximation - some recent advances. Zbl 0462.60006Sazonov, Vjaceslav V. 34 1981 A new general estimate of the rate of convergence in the central limit theorem in R\(^k\). Zbl 0277.60010Sazonov, V. V. 4 1974 On the estimation of moments of sums of independent random variables. Zbl 0321.60046Sazonov, V. V. 3 1974 On the multidimensional central limit theorem with a weakened condition on moments. Zbl 0281.60019Sazonov, V. V. 2 1973 On a bound for the rate of convergence in the multidimensional central limit theorem. Zbl 0274.60019Sazonov, V. V. 8 1972 An improvement of a convergence rate estimate. Zbl 0185.46402Sazonov, V. V. 7 1969 An improvement of a convergence-rate estimate. Zbl 0204.51205Sazonov, V. V. 3 1969 On the multi-dimensional central limit theorem. Zbl 0209.49601Sazonov, V. V. 21 1968 On \(\omega^2\) criterion. Zbl 0177.47201Sazonov, V. V. 7 1968 On the speed of convergence in the multidimensional central limit theorem. Zbl 0196.20801Sazonov, V. V. 5 1968 Probability distributions on topological groups. Zbl 0171.38701Sazonov, V. V.; Tutubalin, V. N. 17 1966 On multidimensional concentration functions. Zbl 0161.37204Sazonov, V. V. 1 1966 On perfect measures. (Translated by Allen Shields). Zbl 0152.04301Sazonov, V. V. 22 1965 On a central limit theorem for random elements with values in Hilbert space. Zbl 0147.17201Kandelaki, N. P.; Sazonov, V. V. 3 1964 Über Verteilungen in Räumen, die zu geordneten linearen Räumen dual sind. Zbl 0173.41004Sazonov, V. V. 1 1964 On the Glivenko-Cantelli theorem. Zbl 0122.13501Sazonov, V. V. 4 1963 On the multidimensional central limit theorem. Zbl 0122.13301Sazonov, V. V. 1 1963 Some results concerning perfect measures. Zbl 0122.29803Sazonov, V. V. 2 1962 Some results associated with Bochner’s theorem. Zbl 0126.14803Prokhorov, Yu. V.; Sazonov, V. 2 1962 On characteristic functionals. Zbl 0089.33801Sazonov, V. 27 1958 all cited Publications top 5 cited Publications all top 5 Cited by 177 Authors 10 Bentkus, Vidmants-Kastytis 10 Paulauskas, Vygantas Ionovič 9 Götze, Friedrich 7 Ul’yanov, Vladimir Vasil’evich 6 Bloznelis, Mindaugas 6 Lijoi, Antonio 4 Prünster, Igor 4 Račkauskas, Alfredas Yurgevich 3 Gandolfi, Alberto 3 Germani, Alfredo 3 Ibragimov, Rustam 3 Kuelbs, James D. 3 Pfanzagl, Johann 2 Ahmad, Ibrahim A. 2 Bendikov, Alexander D. 2 Berti, Patrizia 2 Bertuzzi, Alessandro 2 Bogachev, Vladimir Igorevich 2 Borovskikh, Yuri V. 2 Crepel, Pierre 2 Dolera, Emanuele 2 Dudley, Richard Mansfield 2 Fragoso, Marcelo Dutra 2 Fremlin, David H. 2 Geitz, Robert F. 2 Klebanov, Ilja 2 Koumoullis, George 2 Leão, D. jun. 2 Michel, Reinhard 2 O’Donnell, Ryan 2 Okazaki, Yoshiaki 2 Paditz, Ludwig 2 Prokhorov, Yuriĭ Vasil’evich 2 Rao, Malempati M. 2 Regazzini, Eugenio 2 Rigo, Pietro 2 Saloff-Coste, Laurent 2 Sazonov, Vyacheslav Vasil’evich 2 Sharakhmetov, Shaturgun 2 Tarieladze, Vasha I. 2 Yurinskiĭ, Vadim Vladimirovich 2 Zaitsev, Andrei Yu. 2 Zitikis, Ričardas 1 Adamski, Wolfgang 1 Ahmad, Salah 1 Alexopoulos, Georgios K. 1 Andrade, Marinho Gomes 1 Araujo, Aloisio P. 1 Arellano-Balderas, Salvador 1 Bagchi, Arunabha 1 Baker, Charles R. 1 Balakrishnan, Alampallam Venkatachalaiyer 1 Baldi, Paolo 1 Banerjee, Debapratim 1 Becnel, Jeremy J. 1 Bélanger, Alain 1 Belavkin, Viacheslav 1 Benedikt, Michael A. 1 Bharucha-Reid, Albert Turner 1 Bissiri, Pier Giovanni 1 Bogatyrev, Sergey Anatolievich 1 Borovkov, Aleksandr Alekseevich 1 Buczolich, Zoltán 1 Buldygin, Valeriĭ Volodymyrovych 1 Butsan, G. P. 1 Chistyakov, Gennadiy P. 1 Chobanjan, Sergej A. 1 Cifarelli, Donato Michele 1 de la Peña, Victor H. 1 Deng, Hang 1 do Val, João B. R. 1 dos Reis Gama, J. M. 1 Dowling, Patrick N. 1 Enriquez, Nathanaël 1 Feinsilver, Philip J. 1 Fel’dman, Gennadiĭ Mikhaĭlovich 1 Fryntov, A. E. 1 Fukumizu, Kenji 1 Gamkrelidze, Nikolaĭ Georgievich 1 Giné-Masdéu, Evarist 1 Glaffig, Clemens 1 Goldsheid, Ilya Ya. 1 Gordienko, Evgueni I. 1 Graves, William H. 1 Green, Michael Lawson 1 Gudynas, Pranas P. 1 Guglielmi, Alessandra 1 Hipp, Christian 1 Hosoya, Yuzo 1 Ibragimov, Marat 1 James, Lancelot F. 1 Jensen, Donald R. 1 Juozulynas, Algirdas 1 Kannan, Devika 1 Kerstan, Johannes 1 Khrennikov, Andreĭ Yur’evich 1 Kir’yanova, L. V. 1 Krinik, Alan C. 1 Kucherenko, Valeri V. 1 Kuchibhotla, Arun Kumar ...and 77 more Authors all top 5 Cited in 65 Serials 22 Lithuanian Mathematical Journal 14 Journal of Multivariate Analysis 10 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 8 Transactions of the American Mathematical Society 8 Statistics & Probability Letters 7 The Annals of Probability 6 Journal of Soviet Mathematics 5 Proceedings of the American Mathematical Society 5 Bernoulli 4 Mathematical Notes 4 Journal of Theoretical Probability 4 Journal of Mathematical Sciences (New York) 3 Metrika 3 Ukrainian Mathematical Journal 3 Annals of the Institute of Statistical Mathematics 3 The Annals of Statistics 3 Journal of Functional Analysis 3 Mathematische Nachrichten 3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 2 Theory of Probability and its Applications 2 Journal of Statistical Planning and Inference 2 Manuscripta Mathematica 2 Mathematische Zeitschrift 2 Siberian Mathematical Journal 2 Annals of Pure and Applied Logic 2 Probability Theory and Related Fields 2 Stochastic Processes and their Applications 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Journal of Approximation Theory 1 Journal of Computer and System Sciences 1 Mathematical Systems Theory 1 Mathematika 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Acta Applicandae Mathematicae 1 Japan Journal of Applied Mathematics 1 Journal of Complexity 1 Statistical Science 1 International Journal of Approximate Reasoning 1 Computational Statistics 1 Cybernetics and Systems Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Stochastic Models 1 Central European Journal of Mathematics 1 Bulletin of the American Mathematical Society 1 Proceedings of the Japan Academy 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Journal of Mathematical Cryptology 1 Journal of Statistical Theory and Practice 1 Statistics Surveys 1 Nonlinear Analysis. Theory, Methods & Applications 1 SIAM Journal on Mathematics of Data Science all top 5 Cited in 24 Fields 126 Probability theory and stochastic processes (60-XX) 38 Statistics (62-XX) 32 Measure and integration (28-XX) 17 Functional analysis (46-XX) 9 Operator theory (47-XX) 4 Computer science (68-XX) 3 History and biography (01-XX) 3 Topological groups, Lie groups (22-XX) 3 Approximations and expansions (41-XX) 3 Quantum theory (81-XX) 2 Mathematical logic and foundations (03-XX) 2 Partial differential equations (35-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 2 Numerical analysis (65-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Operations research, mathematical programming (90-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. Updates and corrections should be made in Wikidata.