Ulyanov Vladimir Vasilievich

Publications in Math-Net.Ru

1. Laplace expansion for Bartlett–Nanda–Pillai's test statistic and its error bound
   
   Teor. Veroyatnost. i Primenen., 68:4 (2023),  705–718
2. The Chebyshev–Edgeworth correction in the central limit theorem for integer-valued independent summands
   
   Teor. Veroyatnost. i Primenen., 66:4 (2021),  676–692
3. Non-asymptotic analysis of Lawley–Hotelling statistic for high dimensional data
   
   Zap. Nauchn. Sem. POMI, 486 (2019),  178–189
4. On bounds for characteristic functions of the powers of asymptotically normal random variables
   
   Teor. Veroyatnost. i Primenen., 62:1 (2017),  122–144
5. 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
6. Generalized Cornish–Fisher expansions for distributions of statistics based on samples of random size
   
   Inform. Primen., 10:2 (2016),  84–91
7. On computable estimates for accuracy of approximation for the Bartlett–Nanda–Pillai statistic
   
   Mat. Tr., 19:2 (2016),  109–118
8. On properties of polynomials in random elements
   
   Teor. Veroyatnost. i Primenen., 60:2 (2015),  391–402
9. On accuracy of approximations for standardized chi-squared distributions by Edgeworth–Chebyshev expansions
   
   Inform. Primen., 5:1 (2011),  25–30
10. 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
11. Asymptotic distributions of basic statistics in geometric representation for high-dimensional data and their error bounds
    
    Inform. Primen., 4:1 (2010),  12–17
12. Асимптотические свойства почти квадратичных форм
    
    Teor. Veroyatnost. i Primenen., 55:3 (2010),  617–618
13. On approximations of transformed chi-squared distributions in statistical applications
    
    Sibirsk. Mat. Zh., 47:6 (2006),  1401–1413
14. On smooth behavior of probability distributions under polynomial mappings
    
    Teor. Veroyatnost. i Primenen., 42:1 (1997),  51–62
15. Bounds for characteristic functions of polynomials in asymptotically normal random variables
    
    Uspekhi Mat. Nauk, 51:2(308) (1996),  3–26
16. 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
17. On distribution of quadratic forms in Gaussian random variables
    
    Teor. Veroyatnost. i Primenen., 40:2 (1995),  301–312
18. A precise estimate of the rate of convergence in the Central Limit Theorem in Hilbert space
    
    Mat. Sb., 180:12 (1989),  1587–1613
19. A Precise Estimate of the Accuracy of Normal Approximation in Hilbert Space
    
    Teor. Veroyatnost. i Primenen., 33:4 (1988),  753–754
20. Normal Approximation in Hilbert Space. II
    
    Teor. Veroyatnost. i Primenen., 33:3 (1988),  508–521
21. Normal Approximation in Hilbert Space. I
    
    Teor. Veroyatnost. i Primenen., 33:2 (1988),  225–245
22. 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
23. Estimates for the closeness of Gaussian measures
    
    Dokl. Akad. Nauk SSSR, 291:2 (1986),  273–277
24. Asymptotic expansions for the distributions of sums of independent random variables in $H$
    
    Teor. Veroyatnost. i Primenen., 31:1 (1986),  31–46
25. 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
26. 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
27. Some improvements of convergence rate estimates in the central limit theorem
    
    Teor. Veroyatnost. i Primenen., 23:3 (1978),  684–688
28. 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


29. Russian-Japan symposium on stochastic analysis of the advanced statistical models
    
    Teor. Veroyatnost. i Primenen., 55:3 (2010),  602
30. Colloquium at the University of Bielefeld
    
    Teor. Veroyatnost. i Primenen., 45:1 (2000),  203
31. Letter to the editor
    
    Teor. Veroyatnost. i Primenen., 35:1 (1990),  187
32. Letter to the editors
    
    Teor. Veroyatnost. i Primenen., 24:1 (1979),  236