## Sazonov, Vyacheslav Vasil’evich

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 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
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### 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
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### 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
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### 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)

### Citations contained in zbMATH Open

33 Publications have been cited 201 times in 172 Documents Cited by Year
Normal approximation - some recent advances. Zbl 0462.60006
Sazonov, Vjaceslav V.
1981
On characteristic functionals. Zbl 0089.33801
Sazonov, V.
1958
On perfect measures. (Translated by Allen Shields). Zbl 0152.04301
Sazonov, V. V.
1965
On the multi-dimensional central limit theorem. Zbl 0209.49601
Sazonov, V. V.
1968
Probability distributions on topological groups. Zbl 0171.38701
Sazonov, V. V.; Tutubalin, V. N.
1966
Approximation of laws of random probabilities by mixtures of Dirichlet distributions with applications to nonparametric Bayesian inference. Zbl 0984.60030
Regazzini, E.; Sazonov, V. V.
2000
On a bound for the rate of convergence in the multidimensional central limit theorem. Zbl 0274.60019
Sazonov, V. V.
1972
On $$\omega^2$$ criterion. Zbl 0177.47201
Sazonov, V. V.
1968
An improvement of a convergence rate estimate. Zbl 0185.46402
Sazonov, V. V.
1969
On the speed of convergence in the multidimensional central limit theorem. Zbl 0196.20801
Sazonov, V. V.
1968
A new general estimate of the rate of convergence in the central limit theorem in R$$^k$$. Zbl 0277.60010
Sazonov, V. V.
1974
On the Glivenko-Cantelli theorem. Zbl 0122.13501
Sazonov, V. V.
1963
An improvement of a convergence-rate estimate. Zbl 0204.51205
Sazonov, V. V.
1969
On the estimation of moments of sums of independent random variables. Zbl 0321.60046
Sazonov, V. V.
1974
Asymptotic expansions of the probability that the sum of independent random variables hits a ball in a Hilbert space. Zbl 0860.60006
Sazonov, V. V.; Ul’yanov, V. V.
1995
On a central limit theorem for random elements with values in Hilbert space. Zbl 0147.17201
Kandelaki, N. P.; Sazonov, V. V.
1964
Periodic solutions of sets of ordinary differential equations with a large parameter. Zbl 0586.34036
Sazonov, V. V.
1985
On the multidimensional central limit theorem with a weakened condition on moments. Zbl 0281.60019
Sazonov, V. V.
1973
A projective limit theorem for probability spaces and applications. Zbl 0808.60001
Rao, M. M.; Sazonov, V. V.
1993
A regular estimate of the accuracy of normal approximation in Hilbert space. Zbl 0679.60008
Zalesskij, B. A.; Sazonov, V. V.; Ul’yanov, V. V.
1988
On the accuracy of normal approximation. Zbl 0499.60022
Sazonov, V. V.; Ulyanov, V. V.
1982
Some results concerning perfect measures. Zbl 0122.29803
Sazonov, V. V.
1962
Some results associated with Bochner’s theorem. Zbl 0126.14803
Prokhorov, Yu. V.; Sazonov, V.
1962
Probability theory and mathematical statistics. Proceedings of the fifth Vilnius conference, Vilnius, Lithuania, June 25-July 1, 1989. Volume II. Zbl 0725.00014
1990
An improved estimate of the accuracy of Gaussian approximation in Hilbert space. Zbl 0803.60006
Sazonov, V. V.; Ulyanov, V. V.
1991
Approximation of laws of multinomial parameters by mixtures of Dirichlet distributions with applications to Bayesian inference. Zbl 0946.62014
Regazzini, Eugenio; Sazonov, Viatcheslav V.
1999
Normal approximation of $$U$$-statistics in Hilbert space. Zbl 0889.60004
Borovskikh, Yu. V.; Puri, Madan L.; Sazonov, V. V.
1996
Normal approximation in Hilbert space. II. Zbl 0675.60009
Zalesskij, B. A.; Sazonov, V. V.; Ul’yanov, V. V.
1988
A precise estimate of the rate of convergence in the central limit theorem in Hilbert space. Zbl 0709.60006
Zalesskij, B. A.; Sazonov, V. V.; Ul’yanov, V. V.
1990
On the closeness of moments in normal approximation in Hilbert space. Zbl 0515.60013
Zalesskij, B. A.; Sazonov, V. V.
1983
On the multidimensional central limit theorem. Zbl 0122.13301
Sazonov, V. V.
1963
On multidimensional concentration functions. Zbl 0161.37204
Sazonov, V. V.
1966
Über Verteilungen in Räumen, die zu geordneten linearen Räumen dual sind. Zbl 0173.41004
Sazonov, V. V.
1964
Approximation of laws of random probabilities by mixtures of Dirichlet distributions with applications to nonparametric Bayesian inference. Zbl 0984.60030
Regazzini, E.; Sazonov, V. V.
2000
Approximation of laws of multinomial parameters by mixtures of Dirichlet distributions with applications to Bayesian inference. Zbl 0946.62014
Regazzini, Eugenio; Sazonov, Viatcheslav V.
1999
Normal approximation of $$U$$-statistics in Hilbert space. Zbl 0889.60004
Borovskikh, Yu. V.; Puri, Madan L.; Sazonov, V. V.
1996
Asymptotic expansions of the probability that the sum of independent random variables hits a ball in a Hilbert space. Zbl 0860.60006
Sazonov, V. V.; Ul&rsquo;yanov, V. V.
1995
A projective limit theorem for probability spaces and applications. Zbl 0808.60001
Rao, M. M.; Sazonov, V. V.
1993
An improved estimate of the accuracy of Gaussian approximation in Hilbert space. Zbl 0803.60006
Sazonov, V. V.; Ulyanov, V. V.
1991
Probability theory and mathematical statistics. Proceedings of the fifth Vilnius conference, Vilnius, Lithuania, June 25-July 1, 1989. Volume II. Zbl 0725.00014
1990
A precise estimate of the rate of convergence in the central limit theorem in Hilbert space. Zbl 0709.60006
Zalesskij, B. A.; Sazonov, V. V.; Ul&rsquo;yanov, V. V.
1990
A regular estimate of the accuracy of normal approximation in Hilbert space. Zbl 0679.60008
Zalesskij, B. A.; Sazonov, V. V.; Ul&rsquo;yanov, V. V.
1988
Normal approximation in Hilbert space. II. Zbl 0675.60009
Zalesskij, B. A.; Sazonov, V. V.; Ul&rsquo;yanov, V. V.
1988
Periodic solutions of sets of ordinary differential equations with a large parameter. Zbl 0586.34036
Sazonov, V. V.
1985
On the closeness of moments in normal approximation in Hilbert space. Zbl 0515.60013
Zalesskij, B. A.; Sazonov, V. V.
1983
On the accuracy of normal approximation. Zbl 0499.60022
Sazonov, V. V.; Ulyanov, V. V.
1982
Normal approximation - some recent advances. Zbl 0462.60006
Sazonov, Vjaceslav V.
1981
A new general estimate of the rate of convergence in the central limit theorem in R$$^k$$. Zbl 0277.60010
Sazonov, V. V.
1974
On the estimation of moments of sums of independent random variables. Zbl 0321.60046
Sazonov, V. V.
1974
On the multidimensional central limit theorem with a weakened condition on moments. Zbl 0281.60019
Sazonov, V. V.
1973
On a bound for the rate of convergence in the multidimensional central limit theorem. Zbl 0274.60019
Sazonov, V. V.
1972
An improvement of a convergence rate estimate. Zbl 0185.46402
Sazonov, V. V.
1969
An improvement of a convergence-rate estimate. Zbl 0204.51205
Sazonov, V. V.
1969
On the multi-dimensional central limit theorem. Zbl 0209.49601
Sazonov, V. V.
1968
On $$\omega^2$$ criterion. Zbl 0177.47201
Sazonov, V. V.
1968
On the speed of convergence in the multidimensional central limit theorem. Zbl 0196.20801
Sazonov, V. V.
1968
Probability distributions on topological groups. Zbl 0171.38701
Sazonov, V. V.; Tutubalin, V. N.
1966
On multidimensional concentration functions. Zbl 0161.37204
Sazonov, V. V.
1966
On perfect measures. (Translated by Allen Shields). Zbl 0152.04301
Sazonov, V. V.
1965
On a central limit theorem for random elements with values in Hilbert space. Zbl 0147.17201
Kandelaki, N. P.; Sazonov, V. V.
1964
Über Verteilungen in Räumen, die zu geordneten linearen Räumen dual sind. Zbl 0173.41004
Sazonov, V. V.
1964
On the Glivenko-Cantelli theorem. Zbl 0122.13501
Sazonov, V. V.
1963
On the multidimensional central limit theorem. Zbl 0122.13301
Sazonov, V. V.
1963
Some results concerning perfect measures. Zbl 0122.29803
Sazonov, V. V.
1962
Some results associated with Bochner’s theorem. Zbl 0126.14803
Prokhorov, Yu. V.; Sazonov, V.
1962
On characteristic functionals. Zbl 0089.33801
Sazonov, V.
1958
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### 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
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### 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)

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