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Ulyanov, Vladimir Vasilievich
Professor
Doctor of physico-mathematical sciences (1994)
Speciality: 01.01.05 (Probability theory and mathematical statistics)
E-mail: , ,
Website: https://cs.msu.ru/persons/ulianov-v-v
Keywords: limit theorems of probability theory, vector-valued random variables, weak limit theorems, Gaussian processes, appoximations in statistics, transforms of probability distributions.
UDC: 513.83, 519.224.24, 519.214, 519.226

Subject:

Limit theorems of probability theory for vector-valued random variables and its applications. Weak limit theorems. Probability measures on topological spaces. Gaussian processes. Asymptotic distribution theory in statistics. Transforms of probability distributions in statistics.
   
Main publications:
  1. V. V. Ulyanov, G. Kristof, Ya. Fudzhikoshi, “O priblizheniyakh preobrazovanii khi-kvadrat raspredelenii v statisticheskikh prilozheniyakh”, Sib. matem. zhurn., 47:6 (2006), 1401–1413  mathnet  mathscinet  zmath
  2. F. Gettse, Yu. V. Prokhorov, V. V. Ulyanov, “Otsenki dlya kharakteristicheskikh, funktsii mnogochlenov ot asimptoticheski normalnykh sluchainykh velichin”, UMN, 51:2(308) (1996), 3–26  mathnet  mathscinet
  3. V. V. Sazonov, V. V. Ulyanov, “Asimptoticheskie razlozheniya veroyatnosti summe nezavisimykh sluchainykh velichin popast v shar gilbertovogo prostranstva”, UMN, 50:5(305) (1995), 203–222  mathnet  mathscinet  zmath
  4. B. A. Zalesskii, V. V. Sazonov, V. V. Ulyanov, “Pravilnaya otsenka skorosti skhodimosti v tsentralnoi predelnoi teoreme v gilbertovom prostranstve”, Matem. sb., 180:12 (1989), 1587–1613  mathnet  mathscinet  zmath
  5. Fujikoshi, Yasunori and Ulyanov, Vladimir V. and Shimizu, Ryoichi, Multivariate statistics: High-dimensional and large-sample approximations, A comprehensive examination of high-dimensional analysis of multivariate methods and their real-world applications, Wiley Series in Probability and Statistics, John Wiley & Sons, Hoboken, NJ, 2010  mathscinet  zmath

https://www.mathnet.ru/eng/person17356
List of publications on Google Scholar
https://zbmath.org/authors/ai:ulyanov.vladimir-v|uljanov.v
https://mathscinet.ams.org/mathscinet/MRAuthorID/237231
https://elibrary.ru/author_items.asp?spin=9351-8703
ISTINA https://istina.msu.ru/workers/3620757
https://orcid.org/0000-0001-8467-3007
https://www.webofscience.com/wos/author/record/B-1877-2013
https://www.scopus.com/authid/detail.url?authorId=6603720492
https://www.researchgate.net/profile/https://www.researchgate.net/profile/Vladimir-Ulyanov

Full list of publications: http://scholar.google.com/citations?user=ra0IV5IAAAAJ

Publications in Math-Net.Ru Citations
2023
1. H. Wakaki, V. V. Ulyanov, “Laplace expansion for Bartlett–Nanda–Pillai's test statistic and its error bound”, Teor. Veroyatnost. i Primenen., 68:4 (2023),  705–718  mathnet; Theory Probab. Appl., 68:4 (2024), 570–581  scopus 1
2021
2. S. G. Bobkov, V. V. Ulyanov, “The Chebyshev–Edgeworth correction in the central limit theorem for integer-valued independent summands”, Teor. Veroyatnost. i Primenen., 66:4 (2021),  676–692  mathnet  zmath; Theory Probab. Appl., 66:4 (2022), 537–549  scopus
2019
3. A. A. Lipatev, V. V. Ulyanov, “Non-asymptotic analysis of Lawley–Hotelling statistic for high dimensional data”, Zap. Nauchn. Sem. POMI, 486 (2019),  178–189  mathnet 2
2017
4. Yu. V. Prokhorov, F. Götze, V. V. Ulyanov, “On bounds for characteristic functions of the powers of asymptotically normal random variables”, Teor. Veroyatnost. i Primenen., 62:1 (2017),  122–144  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 62:1 (2018), 98–116  isi  scopus
5. G. Christoph, M. M. Monakhov, V. V. Ulyanov, “Second order Chebyshev–Edgeworth and Cornish–Fisher expansions for distributions of statistics constructed from samples with random sizes”, Zap. Nauchn. Sem. POMI, 466 (2017),  167–207  mathnet 3
2016
6. A. S. Markov, M. M. Monakhov, V. V. Ulyanov, “Generalized Cornish–Fisher expansions for distributions of statistics based on samples of random size”, Inform. Primen., 10:2 (2016),  84–91  mathnet  elib 3
7. A. A. Lipatev, V. V. Ulyanov, “On computable estimates for accuracy of approximation for the Bartlett–Nanda–Pillai statistic”, Mat. Tr., 19:2 (2016),  109–118  mathnet  elib; Siberian Adv. Math., 27:3 (2017), 153–159  scopus 3
2015
8. V. V. Ulyanov, “On properties of polynomials in random elements”, Teor. Veroyatnost. i Primenen., 60:2 (2015),  391–402  mathnet  mathscinet  elib; Theory Probab. Appl., 60:2 (2016), 325–336  isi  scopus 3
2011
9. G. Christoph, V. V. Ulyanov, “On accuracy of approximations for standardized chi-squared distributions by Edgeworth–Chebyshev expansions”, Inform. Primen., 5:1 (2011),  25–30  mathnet  elib 1
10. Zh. A. Asylbekov, V. N. Zubov, V. V. Ulyanov, “On approximating some statistics of goodness-of-fit tests in the case of three-dimensional discrete data”, Sibirsk. Mat. Zh., 52:4 (2011),  728–744  mathnet  mathscinet; Siberian Math. J., 52:4 (2011), 571–584  isi  scopus 9
2010
11. Yu. Kawaguchi, V. V. Ulyanov, Ya. Fujikoshi, “Asymptotic distributions of basic statistics in geometric representation for high-dimensional data and their error bounds”, Inform. Primen., 4:1 (2010),  12–17  mathnet 4
12. V. V. Ulyanov, “Асимптотические свойства почти квадратичных форм”, Teor. Veroyatnost. i Primenen., 55:3 (2010),  617–618  mathnet  elib 1
2006
13. V. V. Ulyanov, G. Christoph, Ya. Fujikoshi, “On approximations of transformed chi-squared distributions in statistical applications”, Sibirsk. Mat. Zh., 47:6 (2006),  1401–1413  mathnet  mathscinet  zmath; Siberian Math. J., 47:6 (2006), 1154–1166  isi  scopus 7
1997
14. F. Götze, Yu. V. Prokhorov, V. V. Ulyanov, “On smooth behavior of probability distributions under polynomial mappings”, Teor. Veroyatnost. i Primenen., 42:1 (1997),  51–62  mathnet  mathscinet  zmath; Theory Probab. Appl., 42:1 (1998), 28–38  isi 4
1996
15. F. Götze, Yu. V. Prokhorov, V. V. Ulyanov, “Bounds for characteristic functions of polynomials in asymptotically normal random variables”, Uspekhi Mat. Nauk, 51:2(308) (1996),  3–26  mathnet  mathscinet; Russian Math. Surveys, 51:2 (1996), 181–204  isi  scopus 10
1995
16. V. V. Sazonov, V. V. Ulyanov, “Asymptotic expansions of the probability that the sum of independent random variables hits a ball in a Hilbert space”, Uspekhi Mat. Nauk, 50:5(305) (1995),  203–222  mathnet  mathscinet  zmath; Russian Math. Surveys, 50:5 (1995), 1045–1063  isi 4
17. G. Christoph, Yu. V. Prokhorov, V. V. Ulyanov, “On distribution of quadratic forms in Gaussian random variables”, Teor. Veroyatnost. i Primenen., 40:2 (1995),  301–312  mathnet  mathscinet  zmath; Theory Probab. Appl., 40:2 (1995), 250–260  isi 9
1989
18. B. A. Zalesskii, V. V. Sazonov, V. V. Ulyanov, “A precise estimate of the rate of convergence in the Central Limit Theorem in Hilbert space”, Mat. Sb., 180:12 (1989),  1587–1613  mathnet  mathscinet  zmath; Math. USSR-Sb., 68:2 (1991), 453–482  isi 8
1988
19. B. A. Zalesskiĭ, V. V. Sazonov, V. V. Ul'yanov, “A Precise Estimate of the Accuracy of Normal Approximation in Hilbert Space”, Teor. Veroyatnost. i Primenen., 33:4 (1988),  753–754  mathnet  mathscinet  zmath; Theory Probab. Appl., 33:4 (1988), 700–701  isi 10
20. B. A. Zalesskiĭ, V. V. Sazonov, V. V. Ul'yanov, “Normal Approximation in Hilbert Space. II”, Teor. Veroyatnost. i Primenen., 33:3 (1988),  508–521  mathnet  mathscinet  zmath; Theory Probab. Appl., 33:3 (1988), 473–487  isi 6
21. B. A. Zalesskiĭ, V. V. Sazonov, V. V. Ul'yanov, “Normal Approximation in Hilbert Space. I”, Teor. Veroyatnost. i Primenen., 33:2 (1988),  225–245  mathnet  mathscinet  zmath; Theory Probab. Appl., 33:2 (1988), 207–227  isi 11
1987
22. O. B. Zaslavskii, V. V. Ulyanov, “Periodic effective potentials for spin systems and new exact solutions of the one-dimensional Schrödinger equation for the energy bands”, TMF, 71:2 (1987),  260–271  mathnet  mathscinet; Theoret. and Math. Phys., 71:2 (1987), 520–528  isi 17
1986
23. S. S. Barsov, V. V. Ulyanov, “Estimates for the closeness of Gaussian measures”, Dokl. Akad. Nauk SSSR, 291:2 (1986),  273–277  mathnet  mathscinet  zmath 1
24. V. V. Ulyanov, “Asymptotic expansions for the distributions of sums of independent random variables in $H$”, Teor. Veroyatnost. i Primenen., 31:1 (1986),  31–46  mathnet  mathscinet  zmath; Theory Probab. Appl., 31:1 (1987), 25–39  isi 10
1982
25. A. S. Mal'kov, V. V. Ul'yanov, “On the non-uniform estimate of the rate of convergence in the local limit theorem in the case of a stable limit distribution”, Teor. Veroyatnost. i Primenen., 27:3 (1982),  566–568  mathnet  mathscinet  zmath; Theory Probab. Appl., 27:3 (1983), 607–609  isi 1
1981
26. V. V. Ul'yanov, “An estimate for the rate of convergence in the central limit theorem in a real separable Hilbert space”, Mat. Zametki, 29:1 (1981),  145–153  mathnet  mathscinet  zmath; Math. Notes, 29:1 (1981), 78–82 1
1978
27. V. V. Ul'yanov, “Some improvements of convergence rate estimates in the central limit theorem”, Teor. Veroyatnost. i Primenen., 23:3 (1978),  684–688  mathnet  mathscinet  zmath; Theory Probab. Appl., 23:3 (1978), 660–663 11
1976
28. V. V. Ul'yanov, “A non-uniform estimate of the speed of convergence in the central limit theorem in $R$”, Teor. Veroyatnost. i Primenen., 21:2 (1976),  280–292  mathnet  mathscinet  zmath; Theory Probab. Appl., 21:2 (1977), 270–282 7
2010
29. A. N. Shiryaev, V. V. Ulyanov, “Russian-Japan symposium on stochastic analysis of the advanced statistical models”, Teor. Veroyatnost. i Primenen., 55:3 (2010),  602  mathnet  elib 1
2000
30. V. V. Ulyanov, “Colloquium at the University of Bielefeld”, Teor. Veroyatnost. i Primenen., 45:1 (2000),  203  mathnet; Theory Probab. Appl., 45:1 (2001), 173–174
1990
31. V. V. Ulyanov, “Letter to the editor”, Teor. Veroyatnost. i Primenen., 35:1 (1990),  187  mathnet  mathscinet; Theory Probab. Appl., 35:1 (1990), 191–192
1979
32. V. V. Ul'yanov, “Letter to the editors”, Teor. Veroyatnost. i Primenen., 24:1 (1979),  236  mathnet  mathscinet; Theory Probab. Appl., 24:1 (1979), 237 2

Presentations in Math-Net.Ru
1. Предельные теоремы для взвешенных сумм и их применения
V. V. Ulyanov

November 10, 2022 16:00   
2. Обобщенные случайные графы: точность пуассоновской аппроксимации для числа циклов
V. V. Ulyanov, S. G. Bobkov, M.A. Danshina
Principle Seminar of the Department of Probability Theory, Moscow State University
October 6, 2021 16:45   
3. Short Chebyshev-Edgeworth expansions in probability and statistics
Gerd Christoph, Vladimir Ulyanov
International Conference "Theory of Probability and Its Applications: P. L. Chebyshev – 200" (The 6th International Conference on Stochastic Methods)
May 20, 2021 10:00   
4. Gaussian measures of large balls in statistical inference
Vladimir V. Ulyanov
International conference "Prokhorov and Probability Theory" dedicated to the 90th anniversary of birth of Yu. V. Prokhorov
December 17, 2019 17:00   
5. Асимптотический и неасимптотический анализ для нелинейных форм от случайных элементов
V. V. Ulyanov
Structural Learning Seminar
December 8, 2016 17:00
6. On Polynomials in Random Elements
V. V. Ulyanov, A. A. Naumov
International Scientific Conference "Probability Theory and its Applications" On Occasion of 85th Birthday of Yu. V. Prokhorov
February 14, 2015 17:15   
7. Семинар, посвященный памяти Юрия Васильевича Прохорова. TBA
V. Yu. Korolev, V. V. Ulyanov
Seminar of the Department of Probability Theory "Stochastic Analysis: Theory and Applications", Steklov Mathematical Institute of RAS
December 15, 2014 13:00

Organisations
 
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