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Senatov, Vladimir Vasil'evich
(1951–2021)
Doctor of physico-mathematical sciences (1994)
Speciality: 01.01.05 (Probability theory and mathematical statistics)
Birth date: 10.03.1951
Website: http://new.math.msu.su/department/probab/staff/senatov.html
   
Main publications:
  • Tsentralnaya predelnaya teorema : tochnost approksimatsii i asimptoticheskie razlozheniya / V. V. Senatov. - Moskva : URSS : Librokom, 2009. - 350 s.; 22 sm.; ISBN 978-5-397-00011-6

https://www.mathnet.ru/eng/person27647
https://ru.wikipedia.org/wiki/Senatov,_Vladimir_Vasilevich
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/194648
https://elibrary.ru/author_items.asp?authorid=13431
ISTINA https://istina.msu.ru/workers/2987578

Publications in Math-Net.Ru Citations
2016
1. V. V. Senatov, “On the real accuracy of approximation in the central limit theorem. II”, Mat. Tr., 19:2 (2016),  170–199  mathnet  elib; Siberian Adv. Math., 27:2 (2017), 133–152  scopus 7
2015
2. V. V. Senatov, “On the construction of asymptotic expansions of high accuracy”, Teor. Veroyatnost. i Primenen., 60:2 (2015),  290–310  mathnet  mathscinet  elib; Theory Probab. Appl., 60:2 (2016), 295–311  isi  scopus
2014
3. V. V. Senatov, “On nonuniform estimates of approximation in the central limit theorem”, Teor. Veroyatnost. i Primenen., 59:2 (2014),  276–312  mathnet  mathscinet  elib; Theory Probab. Appl., 59:2 (2015), 279–310  isi  elib  scopus 4
2012
4. V. V. Senatov, “Nonimprovable estimates for asymptotic expansions in the central limit theorem”, Teor. Veroyatnost. i Primenen., 57:4 (2012),  649–666  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 57:4 (2013), 633–648  isi  elib  scopus 2
5. V. V. Senatov, V. N. Sobolev, “On new forms of asymptotic expansions in the central limit theorem”, Teor. Veroyatnost. i Primenen., 57:1 (2012),  124–140  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 57:1 (2013), 82–96  isi  elib  scopus 8
2011
6. V. V. Senatov, “On the real accuracy of approximation in the central limit theorem”, Sibirsk. Mat. Zh., 52:4 (2011),  913–935  mathnet  mathscinet; Siberian Math. J., 52:4 (2011), 727–746  isi  scopus 5
7. V. V. Senatov, “On one asymptotic expansion in the central limit theorem”, Teor. Veroyatnost. i Primenen., 56:2 (2011),  384–391  mathnet  mathscinet  elib; Theory Probab. Appl., 56:2 (2011), 337–343  isi  elib  scopus
2010
8. V. V. Senatov, “On quasi-nonuniform estimates of the approximation exactness in CLT”, Teor. Veroyatnost. i Primenen., 55:3 (2010),  432–445  mathnet  mathscinet; Theory Probab. Appl., 55:3 (2011), 460–472  isi  scopus
2009
9. V. V. Senatov, “Multivariate analogs of the Chebyshev–Hermitte polynomial”, Teor. Veroyatnost. i Primenen., 54:4 (2009),  696–715  mathnet  mathscinet; Theory Probab. Appl., 54:4 (2010), 659–676  isi  scopus 1
10. V. V. Senatov, “On the approximation exactness for the law of large numbers”, Teor. Veroyatnost. i Primenen., 54:2 (2009),  243–255  mathnet  mathscinet  zmath; Theory Probab. Appl., 54:2 (2010), 261–271  isi  scopus
2008
11. V. V. Senatov, “Some Asymptotic Decompositions in the Central Limit Theorem in the Multidimensional Case”, Teor. Veroyatnost. i Primenen., 53:2 (2008),  293–306  mathnet  mathscinet  zmath; Theory Probab. Appl., 53:2 (2009), 256–268  isi  scopus
2007
12. V. V. Senatov, “On the polynomial analogue of the Chebyshev expansion”, Teor. Veroyatnost. i Primenen., 52:3 (2007),  603–610  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 52:3 (2008), 531–538  isi  scopus 5
2006
13. V. V. Senatov, “On asymptotic expansions in the central limit theorem with explicit estimates of remainder terms”, Teor. Veroyatnost. i Primenen., 51:4 (2006),  810–816  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 51:4 (2007), 729–736  isi  scopus 5
1997
14. V. V. Senatov, “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  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 215 (1996), 1–237 7
1992
15. V. V. Senatov, “On Estimates of the Rate of Convergence in the Central Limit Theorem in Multidimensional Spaces”, Teor. Veroyatnost. i Primenen., 37:4 (1992),  759–762  mathnet  mathscinet  zmath; Theory Probab. Appl., 37:4 (1993), 703–706
1991
16. V. V. Senatov, “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  mathnet  mathscinet  zmath; Theory Probab. Appl., 36:2 (1991), 401–405  isi 3
1989
17. V. V. Senatov, “Estimate of the Rate of Convergence in the Central Limit Theorem in Hilbert Space”, Teor. Veroyatnost. i Primenen., 34:2 (1989),  412  mathnet  mathscinet  zmath; Theory Probab. Appl., 34:2 (1989), 366  isi 2
1988
18. V. V. Senatov, “Some Remarks on Non-Uniform Estimates of the Convergence Rate”, Teor. Veroyatnost. i Primenen., 33:3 (1988),  573–577  mathnet  mathscinet  zmath; Theory Probab. Appl., 33:3 (1988), 536–539  isi 1
1986
19. V. V. Senatov, “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  mathnet  mathscinet  zmath; Theory Probab. Appl., 31:1 (1987), 119–122  isi 1
1985
20. V. V. Senatov, “Four examples of lower estimates in the miltidimensional central limit theorem”, Teor. Veroyatnost. i Primenen., 30:4 (1985),  750–758  mathnet  mathscinet  zmath; Theory Probab. Appl., 30:4 (1985), 797–805  isi 7
21. V. V. Senatov, “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  mathnet  mathscinet  zmath; Theory Probab. Appl., 30:2 (1986), 380–383  isi 6
1984
22. V. V. Senatov, “An estimate of the Levy–Prohorov metric”, Teor. Veroyatnost. i Primenen., 29:1 (1984),  108–113  mathnet  mathscinet  zmath; Theory Probab. Appl., 29:1 (1985), 109–114  isi 6
1983
23. V. V. Senatov, “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  mathnet  mathscinet  zmath; Theory Probab. Appl., 2:2 (1984), 463–467 2
1981
24. V. V. Senatov, “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  mathnet  mathscinet  zmath
25. V. V. Senatov, “Several non-uniform estimates of the rate of convergence in the multidimensional central limit theorem”, Teor. Veroyatnost. i Primenen., 26:4 (1981),  673–684  mathnet  mathscinet  zmath; Theory Probab. Appl., 26:4 (1982), 657–669  isi 2
1980
26. V. V. Senatov, “Some estimates of the rate of convergence in the multidimensional central limit theorem”, Dokl. Akad. Nauk SSSR, 254:4 (1980),  809–812  mathnet  mathscinet  zmath 1
27. V. V. Senatov, “Several uniform estimates of the rate of convergence in the multidimensional central limit theorem”, Teor. Veroyatnost. i Primenen., 25:4 (1980),  757–770  mathnet  mathscinet  zmath; Theory Probab. Appl., 25:4 (1981), 745–759  isi 37
1977
28. V. V. Senatov, “On some properties of metrics on the set of distribution functions”, Mat. Sb. (N.S.), 102(144):3 (1977),  425–434  mathnet  mathscinet  zmath; Math. USSR-Sb., 31:3 (1977), 379–387  isi 2
1976
29. V. V. Senatov, “Sharpening stability estimates for Cramér's theorem”, Zap. Nauchn. Sem. LOMI, 61 (1976),  125–134  mathnet  mathscinet  zmath; J. Soviet Math., 16:5 (1981), 1425–1432 3
1975
30. V. M. Zolotarev, V. V. Senatov, “Two-sided estimates of Levy's metric”, Teor. Veroyatnost. i Primenen., 20:2 (1975),  239–250  mathnet  mathscinet  zmath; Theory Probab. Appl., 20:2 (1976), 234–245 8
2006
31. L. G. Afanas'eva, E. V. Bulinskaya, O. V. Viskov, I. È. Ibragimov, R. I. Ivanovskaya, V. Yu. Korolev, V. M. Kruglov, Yu. V. Prokhorov, B. A. Sevast'yanov, V. V. Senatov, M. V. Khatuntseva, Yu. S. Khokhlov, D. M. Chibisov, A. N. Shiryaev, “On the 75th birthday of V. M. Zolotarev”, Teor. Veroyatnost. i Primenen., 51:4 (2006),  773–775  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 51:4 (2007), 680–682  isi

Presentations in Math-Net.Ru
1. On a new type of estimates of the accuracy of approximations in the CLT
V. V. Senatov
Principle Seminar of the Department of Probability Theory, Moscow State University
March 11, 2015
2. On new estimates for the accuracy of approximation in the central limit theorem
V. V. Senatov
Principle Seminar of the Department of Probability Theory, Moscow State University
March 26, 2014 16:45
3. One approach for the approximation in CLT
V. V. Senatov
Principle Seminar of the Department of Probability Theory, Moscow State University
February 27, 2013 16:45
4. On the construction of asymptotic expansion of high precision
V. V. Senatov
Principle Seminar of the Department of Probability Theory, Moscow State University
March 28, 2012 16:45
5. О реальной точности аппроксимаций в ЦПТ
V. V. Senatov
Principle Seminar of the Department of Probability Theory, Moscow State University
October 27, 2010 16:45
6. Центральная предельная теорема. Точность аппроксимации и асимптотические разложения. Рассказ о книге
V. V. Senatov
Principle Seminar of the Department of Probability Theory, Moscow State University
May 13, 2009 16:45
7. О точности аппроксимации в законе больших чисел
V. V. Senatov
Principle Seminar of the Department of Probability Theory, Moscow State University
December 3, 2008 16:45
8. О скоростях сходимости в законе больших чисел. Об асимптотических разложениях в ЦПТ в многомерном случае
V. V. Senatov
Principle Seminar of the Department of Probability Theory, Moscow State University
October 17, 2007 16:45
9. Об асимптотических разложениях в центральной предельной теореме в многомерных пространствах
V. V. Senatov
Principle Seminar of the Department of Probability Theory, Moscow State University
March 1, 2006

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