Senatov Vladimir Vasil'evich

Publications in Math-Net.Ru

1. On the real accuracy of approximation in the central limit theorem. II
   
   Mat. Tr., 19:2 (2016),  170–199
2. On the construction of asymptotic expansions of high accuracy
   
   Teor. Veroyatnost. i Primenen., 60:2 (2015),  290–310
3. On nonuniform estimates of approximation in the central limit theorem
   
   Teor. Veroyatnost. i Primenen., 59:2 (2014),  276–312
4. Nonimprovable estimates for asymptotic expansions in the central limit theorem
   
   Teor. Veroyatnost. i Primenen., 57:4 (2012),  649–666
5. On new forms of asymptotic expansions in the central limit theorem
   
   Teor. Veroyatnost. i Primenen., 57:1 (2012),  124–140
6. On the real accuracy of approximation in the central limit theorem
   
   Sibirsk. Mat. Zh., 52:4 (2011),  913–935
7. On one asymptotic expansion in the central limit theorem
   
   Teor. Veroyatnost. i Primenen., 56:2 (2011),  384–391
8. On quasi-nonuniform estimates of the approximation exactness in CLT
   
   Teor. Veroyatnost. i Primenen., 55:3 (2010),  432–445
9. Multivariate analogs of the Chebyshev–Hermitte polynomial
   
   Teor. Veroyatnost. i Primenen., 54:4 (2009),  696–715
10. On the approximation exactness for the law of large numbers
    
    Teor. Veroyatnost. i Primenen., 54:2 (2009),  243–255
11. Some Asymptotic Decompositions in the Central Limit Theorem in the Multidimensional Case
    
    Teor. Veroyatnost. i Primenen., 53:2 (2008),  293–306
12. On the polynomial analogue of the Chebyshev expansion
    
    Teor. Veroyatnost. i Primenen., 52:3 (2007),  603–610
13. On asymptotic expansions in the central limit theorem with explicit estimates of remainder terms
    
    Teor. Veroyatnost. i Primenen., 51:4 (2006),  810–816
14. Qualitative effects in the estimates of the convergence rate in the central limit theorem in multidimensional spaces
    
    Trudy Mat. Inst. Steklova, 215 (1997),  3–239
15. On Estimates of the Rate of Convergence in the Central Limit Theorem in Multidimensional Spaces
    
    Teor. Veroyatnost. i Primenen., 37:4 (1992),  759–762
16. Some remarks on estimating the rate of convergence in the central limit theorem in a Hilbert space
    
    Teor. Veroyatnost. i Primenen., 36:2 (1991),  382–386
17. Estimate of the Rate of Convergence in the Central Limit Theorem in Hilbert Space
    
    Teor. Veroyatnost. i Primenen., 34:2 (1989),  412
18. Some Remarks on Non-Uniform Estimates of the Convergence Rate
    
    Teor. Veroyatnost. i Primenen., 33:3 (1988),  573–577
19. Dependence of the rate of convergence in the central limit theorem on balls, centered at zero, on the covariance operator of summands
    
    Teor. Veroyatnost. i Primenen., 31:1 (1986),  128–132
20. Four examples of lower estimates in the miltidimensional central limit theorem
    
    Teor. Veroyatnost. i Primenen., 30:4 (1985),  750–758
21. On the dependence of estimates of the rate of convergence in the central limit theorem on the covariance operator of summands
    
    Teor. Veroyatnost. i Primenen., 30:2 (1985),  354–357
22. An estimate of the Levy–Prohorov metric
    
    Teor. Veroyatnost. i Primenen., 29:1 (1984),  108–113
23. On the estimate of the rate of convergence with respect to the system of balls in the central limit theorem in $R^k$
    
    Teor. Veroyatnost. i Primenen., 28:2 (1983),  440–445
24. Some lower estimates for the rate of convergence in the central limit theorem in a Hilbert space
    
    Dokl. Akad. Nauk SSSR, 256:6 (1981),  1318–1322
25. Several non-uniform estimates of the rate of convergence in the multidimensional central limit theorem
    
    Teor. Veroyatnost. i Primenen., 26:4 (1981),  673–684
26. Some estimates of the rate of convergence in the multidimensional central limit theorem
    
    Dokl. Akad. Nauk SSSR, 254:4 (1980),  809–812
27. Several uniform estimates of the rate of convergence in the multidimensional central limit theorem
    
    Teor. Veroyatnost. i Primenen., 25:4 (1980),  757–770
28. On some properties of metrics on the set of distribution functions
    
    Mat. Sb. (N.S.), 102(144):3 (1977),  425–434
29. Sharpening stability estimates for Cramér's theorem
    
    Zap. Nauchn. Sem. LOMI, 61 (1976),  125–134
30. Two-sided estimates of Levy's metric
    
    Teor. Veroyatnost. i Primenen., 20:2 (1975),  239–250


31. On the 75th birthday of V. M. Zolotarev
    
    Teor. Veroyatnost. i Primenen., 51:4 (2006),  773–775