Ulyanov, Vladimir Vasilievich

Statistics Math-Net.Ru
Total publications: 30
Scientific articles: 26
Presentations: 4

Number of views:
This page:2418
Abstract pages:5693
Full texts:1915
Doctor of physico-mathematical sciences (1994)
Speciality: 01.01.05 (Probability theory and mathematical statistics)
Phone: +7 (495) 939 53 94
Fax: +7 (495) 939 25 96
E-mail: , ,
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


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
List of publications on Google Scholar|uljanov.v
Full list of publications:

Publications in Math-Net.Ru
1. 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. 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
3. 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
4. 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
5. 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
6. 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
7. 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
8. 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. 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
10. V. V. Ulyanov, “Асимптотические свойства почти квадратичных форм”, Teor. Veroyatnost. i Primenen., 55:3 (2010),  617–618  mathnet  elib
11. 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
12. 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
13. 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
14. 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
15. 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
16. 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
17. 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
18. 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
19. 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
20. 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
21. 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
22. 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
23. 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
24. 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
25. 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
26. 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

27. 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
28. 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
29. 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
30. 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

Presentations in Math-Net.Ru
1. 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   
2. Асимптотический и неасимптотический анализ для нелинейных форм от случайных элементов
V. V. Ulyanov
Structural Learning Seminar
December 8, 2016 17:00
3. 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   
4. 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

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