×

Ul’yanov, Vladimir Vasil’evich

Compute Distance To:
Author ID: ulyanov.vladimir-v Recent zbMATH articles by "Ul’yanov, Vladimir Vasil’evich"
Published as: Ul’yanov, V. V.; Ulyanov, V. V.; Ulyanov, Vladimir V.; Ulyanov, V.; Ulyanov, Vladimir
Homepage: https://www.hse.ru/en/org/persons/77967
External Links: MGP · ORCID · Wikidata · ResearchGate · Math-Net.Ru
Documents Indexed: 73 Publications since 1976, including 2 Books
1 Further Contribution
Co-Authors: 23 Co-Authors with 57 Joint Publications
627 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 209 times in 153 Documents Cited by Year
Multivariate statistics. High dimensional and large-sample approximations. Zbl 1304.62016
Fujikoshi, Yasunori; Ulyanov, Vladimir V.; Shimizu, Ryoichi
91
2010
Asymptotic expansions of the distributions of MANOVA test statistics when the dimension is large. Zbl 1308.62114
Wakaki, Hirofumi; Fujikoshi, Yasunori; Ulyanov, Vladimir V.
11
2014
Some approximation problems in statistics and probability. Zbl 1293.62037
Prokhorov, Yuri V.; Ulyanov, Vladimir V.
9
2013
Berry-Esseen bound for high dimensional asymptotic approximation of Wilks’ lambda distribution. Zbl 1092.62025
Ulyanov, Vladimir V.; Wakaki, Hirofumi; Fujikoshi, Yasunori
8
2006
Bootstrap confidence sets for spectral projectors of sample covariance. Zbl 1420.62073
Naumov, Alexey; Spokoiny, Vladimir; Ulyanov, Vladimir
7
2019
\(L_{1}\)-norm error bounds for asymptotic expansions of multivariate scale mixtures and their applications to Hotelling’s generalized \(T_{0}^{2}\). Zbl 1074.62010
Fujikoshi, Y.; Ulyanov, V. V.; Shimizu, R.
7
2005
Error bounds for asymptotic expansions of Wilks’ lambda distribution. Zbl 1102.62014
Fujikoshi, Yasunori; Ulyanov, Vladimir V.
5
2006
Large ball probabilities, Gaussian comparison and anti-concentration. Zbl 1428.62187
Götze, Friedrich; Naumov, Alexey; Spokoiny, Vladimir; Ulyanov, Vladimir
4
2019
Asymptotic expansions for distributions of sums of independent random variables in \(H^ *\). Zbl 0625.60045
Ul’yanov, V. V.
4
1987
A stochastic analogue of the Vinogradov mean value theorem. Zbl 0959.60055
Götze, F.; Prohorov, Yu. V.; Ulyanov, V. V.
3
1996
On accuracy of approximations for location and scale mixtures. Zbl 1113.62014
Fujikoshi, Ya.; Ulyanov, V. V.
3
2006
Refinement on the convergence of one family of goodness-of-fit statistics to chi-squared distribution. Zbl 1165.62011
Ulyanov, Vladimir V.; Zubov, Vasily N.
3
2009
On Gaussian measure on balls in \(H\). Zbl 0888.60008
Ulyanov, V. V.
3
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’yanov, V. V.
3
1995
Asymptotic analysis of symmetric functions. Zbl 1395.60028
Götze, F.; Naumov, A.; Ulyanov, V.
3
2017
Nonuniform error bounds in asymptotic expansions for scale mixtures under mild moment conditions. Zbl 0928.62017
Ulyanov, V.; Fujikoshi, Y.; Shimizu, R.
3
1999
Non-uniform bounds for short asymptotic expansions in the CLT for balls in a Hilbert space. Zbl 1113.60011
Bogatyrev, S. A.; Götze, F.; Ulyanov, V. V.
3
2006
On more precise convergence rate estimates in the central limit theorem. Zbl 0421.60019
Ul’yanov, V. V.
2
1979
On the accuracy of normal approximation. Zbl 0499.60022
Sazonov, V. V.; Ulyanov, V. V.
2
1982
Bounds for characteristic functions of polynomials in asymptotically normal random variables. Zbl 0885.60004
Götze, F.; Prokhorov, Yu. V.; Ul’yanov, V. V.
2
1996
Nonasymptotic estimates for the closeness of Gaussian measures on balls. Zbl 1420.60050
Naumov, A. A.; Spokoiny, V. G.; Tavyrikov, Yu. E.; Ulyanov, V. V.
2
2018
Confidence sets for spectral projectors of covariance matrices. Zbl 1409.62148
Naumov, A. A.; Spokoiny, V. G.; Ulyanov, V. V.
2
2018
Central limit type theorems in the generalized random graphs with random vertex weights. Zbl 1350.05153
Hu, Z. S.; Ulyanov, V. V.; Feng, Q. Q.
2
2016
Characterization and stability problems for finite quadratic forms. Zbl 1014.60007
Christoph, G.; Prohorov, Yu.; Ulyanov, V.
2
2001
Accurate approximation of correlation coefficients by short Edgeworth-Chebyshev expansion and its statistical applications. Zbl 1367.62172
Christoph, Gerd; Ulyanov, Vladimir V.; Fujikoshi, Yasunori
2
2013
Estimates of the proximity of Gaussian measures. Zbl 0628.28014
Barsov, S. S.; Ul’yanov, V. V.
2
1987
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.
2
1988
On properties of polynomials in random elements. Zbl 1381.60015
Ulyanov, V. V.
2
2016
Non-asymptotic analysis of approximations for multivariate statistics. Zbl 1439.62004
Fujikoshi, Yasunori; Ulyanov, Vladimir V.
1
2020
Second-order Chebyshev-Edgeworth and Cornish-Fisher expansions for distributions of statistics constructed from samples with random sizes. Zbl 1453.62378
Christoph, G.; Monakhov, M. M.; Ulyanov, V. V.
1
2020
Nonuniform bounds on the error of the normal approximation in \(H\). Zbl 0773.60007
Ul’yanov, V. V.
1
1987
An improved estimate of the accuracy of Gaussian approximation in Hilbert space. Zbl 0803.60006
Sazonov, V. V.; Ulyanov, V. V.
1
1991
Nonuniform estimates of the density of the squared norm of a Gaussian vector in Hilbert space. Zbl 0803.60005
Ulyanov, V. V.
1
1991
A non-uniform estimate for the speed of convergence in the central limit theorem in R. Zbl 0363.60026
Ul’yanov, V. V.
1
1976
On the refinement of convergence rate estimates in the central limit theorem. Zbl 0385.60032
Ul’yanov, V. V.
1
1978
On approximations of transformed chi-squared distributions in statistical applications. Zbl 1150.62314
Ulyanov, V. V.; Christoph, Gerd; Fujikoshi, Yasunori
1
2006
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.
1
1990
Russian-Japanese symposium on “A stochastic analysis of advanced statistical models”. Zbl 1237.00020
Shiryaev, A. N.; Ulyanov, V. V.
1
2011
Non-asymptotic results for Cornish-Fisher expansions. Zbl 1353.62023
Ulyanov, V. V.; Aoshima, M.; Fujikoshi, Y.
1
2016
On accuracy of improved \(\chi^2\)-approximations. Zbl 1005.62014
Ulyanov, V. V.; Fujikoshi, Y.
1
2001
Normal approximation for sums of non-identically distributed random variables in Hilbert spaces. Zbl 0617.60022
Ulyanov, V. V.
1
1986
Error bounds for asymptotic expansions of the distribution of multivariate scale mixture. Zbl 1100.62017
Fujikoshi, Yasunori; Ulyanov, Vladimir; Shimizu, Ryoichi
1
2005
Characterizing properties of quadratic forms. Zbl 1138.15300
Prokhorov, Yu. V.; Christoph, G.; Ul’yanov, V. V.
1
2000
On approximating some statistics of goodness-of-fit tests in the case of three-dimensional discrete data. Zbl 1232.62039
Asylbekov, Zh. A.; Zubov, V. N.; Ulyanov, V. V.
1
2011
Normal approximation in Hilbert space. II. Zbl 0675.60009
Zalesskij, B. A.; Sazonov, V. V.; Ul’yanov, V. V.
1
1988
Non-asymptotic analysis of approximations for multivariate statistics. Zbl 1439.62004
Fujikoshi, Yasunori; Ulyanov, Vladimir V.
1
2020
Second-order Chebyshev-Edgeworth and Cornish-Fisher expansions for distributions of statistics constructed from samples with random sizes. Zbl 1453.62378
Christoph, G.; Monakhov, M. M.; Ulyanov, V. V.
1
2020
Bootstrap confidence sets for spectral projectors of sample covariance. Zbl 1420.62073
Naumov, Alexey; Spokoiny, Vladimir; Ulyanov, Vladimir
7
2019
Large ball probabilities, Gaussian comparison and anti-concentration. Zbl 1428.62187
Götze, Friedrich; Naumov, Alexey; Spokoiny, Vladimir; Ulyanov, Vladimir
4
2019
Nonasymptotic estimates for the closeness of Gaussian measures on balls. Zbl 1420.60050
Naumov, A. A.; Spokoiny, V. G.; Tavyrikov, Yu. E.; Ulyanov, V. V.
2
2018
Confidence sets for spectral projectors of covariance matrices. Zbl 1409.62148
Naumov, A. A.; Spokoiny, V. G.; Ulyanov, V. V.
2
2018
Asymptotic analysis of symmetric functions. Zbl 1395.60028
Götze, F.; Naumov, A.; Ulyanov, V.
3
2017
Central limit type theorems in the generalized random graphs with random vertex weights. Zbl 1350.05153
Hu, Z. S.; Ulyanov, V. V.; Feng, Q. Q.
2
2016
On properties of polynomials in random elements. Zbl 1381.60015
Ulyanov, V. V.
2
2016
Non-asymptotic results for Cornish-Fisher expansions. Zbl 1353.62023
Ulyanov, V. V.; Aoshima, M.; Fujikoshi, Y.
1
2016
Asymptotic expansions of the distributions of MANOVA test statistics when the dimension is large. Zbl 1308.62114
Wakaki, Hirofumi; Fujikoshi, Yasunori; Ulyanov, Vladimir V.
11
2014
Some approximation problems in statistics and probability. Zbl 1293.62037
Prokhorov, Yuri V.; Ulyanov, Vladimir V.
9
2013
Accurate approximation of correlation coefficients by short Edgeworth-Chebyshev expansion and its statistical applications. Zbl 1367.62172
Christoph, Gerd; Ulyanov, Vladimir V.; Fujikoshi, Yasunori
2
2013
Russian-Japanese symposium on “A stochastic analysis of advanced statistical models”. Zbl 1237.00020
Shiryaev, A. N.; Ulyanov, V. V.
1
2011
On approximating some statistics of goodness-of-fit tests in the case of three-dimensional discrete data. Zbl 1232.62039
Asylbekov, Zh. A.; Zubov, V. N.; Ulyanov, V. V.
1
2011
Multivariate statistics. High dimensional and large-sample approximations. Zbl 1304.62016
Fujikoshi, Yasunori; Ulyanov, Vladimir V.; Shimizu, Ryoichi
91
2010
Refinement on the convergence of one family of goodness-of-fit statistics to chi-squared distribution. Zbl 1165.62011
Ulyanov, Vladimir V.; Zubov, Vasily N.
3
2009
Berry-Esseen bound for high dimensional asymptotic approximation of Wilks’ lambda distribution. Zbl 1092.62025
Ulyanov, Vladimir V.; Wakaki, Hirofumi; Fujikoshi, Yasunori
8
2006
Error bounds for asymptotic expansions of Wilks’ lambda distribution. Zbl 1102.62014
Fujikoshi, Yasunori; Ulyanov, Vladimir V.
5
2006
On accuracy of approximations for location and scale mixtures. Zbl 1113.62014
Fujikoshi, Ya.; Ulyanov, V. V.
3
2006
Non-uniform bounds for short asymptotic expansions in the CLT for balls in a Hilbert space. Zbl 1113.60011
Bogatyrev, S. A.; Götze, F.; Ulyanov, V. V.
3
2006
On approximations of transformed chi-squared distributions in statistical applications. Zbl 1150.62314
Ulyanov, V. V.; Christoph, Gerd; Fujikoshi, Yasunori
1
2006
\(L_{1}\)-norm error bounds for asymptotic expansions of multivariate scale mixtures and their applications to Hotelling’s generalized \(T_{0}^{2}\). Zbl 1074.62010
Fujikoshi, Y.; Ulyanov, V. V.; Shimizu, R.
7
2005
Error bounds for asymptotic expansions of the distribution of multivariate scale mixture. Zbl 1100.62017
Fujikoshi, Yasunori; Ulyanov, Vladimir; Shimizu, Ryoichi
1
2005
Characterization and stability problems for finite quadratic forms. Zbl 1014.60007
Christoph, G.; Prohorov, Yu.; Ulyanov, V.
2
2001
On accuracy of improved \(\chi^2\)-approximations. Zbl 1005.62014
Ulyanov, V. V.; Fujikoshi, Y.
1
2001
Characterizing properties of quadratic forms. Zbl 1138.15300
Prokhorov, Yu. V.; Christoph, G.; Ul’yanov, V. V.
1
2000
Nonuniform error bounds in asymptotic expansions for scale mixtures under mild moment conditions. Zbl 0928.62017
Ulyanov, V.; Fujikoshi, Y.; Shimizu, R.
3
1999
A stochastic analogue of the Vinogradov mean value theorem. Zbl 0959.60055
Götze, F.; Prohorov, Yu. V.; Ulyanov, V. V.
3
1996
On Gaussian measure on balls in \(H\). Zbl 0888.60008
Ulyanov, V. V.
3
1996
Bounds for characteristic functions of polynomials in asymptotically normal random variables. Zbl 0885.60004
Götze, F.; Prokhorov, Yu. V.; Ul’yanov, V. V.
2
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’yanov, V. V.
3
1995
An improved estimate of the accuracy of Gaussian approximation in Hilbert space. Zbl 0803.60006
Sazonov, V. V.; Ulyanov, V. V.
1
1991
Nonuniform estimates of the density of the squared norm of a Gaussian vector in Hilbert space. Zbl 0803.60005
Ulyanov, V. V.
1
1991
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.
1
1990
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.
2
1988
Normal approximation in Hilbert space. II. Zbl 0675.60009
Zalesskij, B. A.; Sazonov, V. V.; Ul’yanov, V. V.
1
1988
Asymptotic expansions for distributions of sums of independent random variables in \(H^ *\). Zbl 0625.60045
Ul’yanov, V. V.
4
1987
Estimates of the proximity of Gaussian measures. Zbl 0628.28014
Barsov, S. S.; Ul’yanov, V. V.
2
1987
Nonuniform bounds on the error of the normal approximation in \(H\). Zbl 0773.60007
Ul’yanov, V. V.
1
1987
Normal approximation for sums of non-identically distributed random variables in Hilbert spaces. Zbl 0617.60022
Ulyanov, V. V.
1
1986
On the accuracy of normal approximation. Zbl 0499.60022
Sazonov, V. V.; Ulyanov, V. V.
2
1982
On more precise convergence rate estimates in the central limit theorem. Zbl 0421.60019
Ul’yanov, V. V.
2
1979
On the refinement of convergence rate estimates in the central limit theorem. Zbl 0385.60032
Ul’yanov, V. V.
1
1978
A non-uniform estimate for the speed of convergence in the central limit theorem in R. Zbl 0363.60026
Ul’yanov, V. V.
1
1976
all top 5

Cited by 200 Authors

24 Fujikoshi, Yasunori
18 Ul’yanov, Vladimir Vasil’evich
11 Götze, Friedrich
9 Yanagihara, Hirokazu
8 Sakurai, Tetsuro
8 Wakaki, Hirofumi
6 Oda, Ryoya
6 Yamada, Takayuki
5 Bai, Zhi-Dong
5 Shutoh, Nobumichi
4 Aoshima, Makoto
4 Hyodo, Masashi
4 Naumov, Alekseĭ Aleksandrovich
4 Pan, Guangming
4 Spokoiny, Vladimir G.
3 Bentkus, Vidmants-Kastytis
3 Bogachev, Vladimir Igorevich
3 Hu, Jiang
3 Kosov, Egor D.
3 Seo, Takashi
3 Xie, Junshan
3 Yata, Kazuyoshi
3 Zaitsev, Andrei Yu.
2 Arashi, Mohammad
2 Bobkov, Sergey Germanovich
2 Choi, Kwok Pui
2 Christoph, Gerd
2 Han, Xiao
2 Hanusz, Zofia
2 Hashiyama, Yusuke
2 Himeno, Tetsuto
2 Kolchinskiĭ, Vladimir I’ich
2 Lipat’ev, A. A.
2 Mexia, João Tiago Praça Nunes
2 Nagahata, Hideaki
2 Nakagawa, Tomoyuki
2 Nishiyama, Takahiro
2 Ouimet, Frédéric
2 Pielaszkiewicz, Jolanta Maria
2 Qi, Yongcheng
2 Sazonov, Vyacheslav Vasil’evich
2 Sun, Gaoming
2 Taniguchi, Masanobu
2 Tsukada, Shin-ichi
2 von Rosen, Dietrich
2 Yagi, Ayaka
1 Akita, Tomoyuki
1 Alcantud, José Carlos Rodríguez
1 Araujo, Aloisio P.
1 Arellano-Balderas, Salvador
1 Asylbekov, Zh. A.
1 Aydoğdu, Selahattin
1 Balakrishnan, Narayanaswamy
1 Banerjee, Debapratim
1 Bao, Zhigang
1 Basu, Sujit Kumar
1 Bathke, Arne C.
1 Bekker, Andriëtte
1 Bening, Vladimir E.
1 Bogatyrev, Sergey Anatolievich
1 Chang, Shuhua
1 Chen, Peng
1 Chen, Yang
1 Cui, Wenquan
1 da Conceição Ferreira, Dario Jorge
1 Danshina, Maria A.
1 de Andrés Calle, Rocío
1 Devroye, Luc P. J. A.
1 Diao, Guoqing
1 Ding, Xiucai
1 Dobriban, Edgar
1 Dong, Ping
1 Dong, Zhishan
1 Enomoto, Rie
1 Esquível, Manuel Leote
1 Ferreira, Sandra Saraiva
1 Filipiak, Katarzyna
1 González-Arteaga, T.
1 Guo, Bo
1 Guo, Junhao
1 Harrar, Solomon W.
1 Hernández, Belinda
1 Hu, Sanfeng
1 Imori, Shinpei
1 Iranmanesh, Anis
1 Jiang, Tiefeng
1 Jin, Jinghua
1 Johnstone, Iain Murray
1 Katayama, Shota
1 Kato, Naohiro
1 Klein, Daniel J.
1 Klyushina, E. S.
1 Koike, Yuta
1 Kösters, Holger
1 Krivosenko, Yu. S.
1 Krzyśko, Mirosław
1 Kubokawa, Tatsuya
1 Kucherenko, Valeri V.
1 Kuchibhotla, Arun Kumar
1 Kunitomo, Naoto
...and 100 more Authors
all top 5

Cited in 55 Serials

30 Journal of Multivariate Analysis
12 Communications in Statistics. Theory and Methods
10 The Annals of Statistics
7 Theory of Probability and its Applications
7 Journal of Mathematical Sciences (New York)
5 Statistics & Probability Letters
5 Journal of Statistical Computation and Simulation
5 Bernoulli
4 Journal of Statistical Planning and Inference
4 Electronic Journal of Statistics
3 Annals of the Institute of Statistical Mathematics
3 Sankhyā. Series A
2 Lithuanian Mathematical Journal
2 Scandinavian Journal of Statistics
2 The Annals of Probability
2 Journal of Theoretical Probability
2 Communications in Statistics. Simulation and Computation
2 Computational Statistics and Data Analysis
2 Test
2 Doklady Mathematics
2 Matematicheskie Trudy
2 ALEA. Latin American Journal of Probability and Mathematical Statistics
2 AStA. Advances in Statistical Analysis
2 Japanese Journal of Statistics and Data Science
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Biometrics
1 Functional Analysis and its Applications
1 Hiroshima Mathematical Journal
1 Journal of Computational and Applied Mathematics
1 Metron
1 Siberian Mathematical Journal
1 Journal of the Japan Statistical Society
1 Statistics
1 Probability Theory and Related Fields
1 Sugaku Expositions
1 International Journal of Adaptive Control and Signal Processing
1 The Annals of Applied Probability
1 Computational Statistics
1 European Journal of Operational Research
1 Linear Algebra and its Applications
1 Mathematical Methods of Statistics
1 Electronic Journal of Probability
1 Statistical Inference for Stochastic Processes
1 Journal of the European Mathematical Society (JEMS)
1 Brazilian Journal of Probability and Statistics
1 Stochastics
1 Journal of Statistical Theory and Practice
1 Random Matrices: Theory and Applications
1 Statistics and Computing
1 Communications in Mathematics and Statistics
1 Journal of the Japan Statistical Society. Japanese Issue
1 Results in Applied Mathematics

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.