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Borisov, Igor' Semenovich
Statistics Math-Net.Ru
Total publications: 61
Scientific articles: 57
Presentations: 3

Number of views:
This page:3932
Abstract pages:19541
Full texts:6783
References:1767
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https://www.mathnet.ru/eng/person11315
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https://mathscinet.ams.org/mathscinet/MRAuthorID/195831

Publications in Math-Net.Ru Citations
2024
1. Yu. Yu. Linke, I. S. Borisov, “Universal nonparametric kernel-type estimators for the mean and covariance functions of a stochastic process”, Teor. Veroyatnost. i Primenen., 69:1 (2024),  46–75  mathnet; Theory Probab. Appl., 69:1 (2024), 35–58  scopus 1
2023
2. I. S. Borisov, E. I. Shefer, “On a rate of convergence for the arcsine law”, Teor. Veroyatnost. i Primenen., 68:2 (2023),  209–235  mathnet; Theory Probab. Appl., 68:2 (2023), 175–197  scopus
2020
3. I. S. Borisov, E. I. Shefer, “Асимптотика распределения времени пребывания случайного блуждания в области умеренно больших уклонений”, Mat. Tr., 23:2 (2020),  50–69  mathnet 1
2019
4. I. S. Borisov, E. I. Shefer, “Asymptotic behavior of the mean sojourn time for a random walk to be in a domain of large deviations”, Mat. Tr., 22:2 (2019),  3–20  mathnet; Siberian Adv. Math., 30:2 (2020), 77–90  scopus 2
5. I. S. Borisov, A. A. Bystrov, “Exponential inequalities for the distributions of canonical multiple partial sum processes”, Teor. Veroyatnost. i Primenen., 64:2 (2019),  209–227  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 64:2 (2019), 171–185  isi  scopus 4
2018
6. I. S. Borisov, V. A. Zhechev, “Exponential inequalities for the distributions of $V$-processes based on dependent observations”, Mat. Tr., 21:2 (2018),  102–116  mathnet; Siberian Adv. Math., 29 (2019), 263–273  scopus
7. Yu. Yu. Linke, I. S. Borisov, “Constructing explicit estimators in nonlinear regression problems”, Teor. Veroyatnost. i Primenen., 63:1 (2018),  29–56  mathnet  elib; Theory Probab. Appl., 63:1 (2018), 22–44  isi  scopus 18
2017
8. I. S. Borisov, E. I. Shefer, “The asymptotic behavior of the mean sojourn time for a random walk to be above a receding curvilinear boundary”, Sib. J. Pure and Appl. Math., 17:4 (2017),  18–27  mathnet; J. Math. Sci., 237:4 (2019), 511–520 3
2015
9. I. S. Borisov, N. V. Volod'ko, “Asymptotic expansions for the distributions of canonical $V$-statistics of third order”, Teor. Veroyatnost. i Primenen., 60:1 (2015),  3–24  mathnet  mathscinet  elib; Theory Probab. Appl., 60:1 (2016), 1–18  isi  scopus
2014
10. I. S. Borisov, S. E. Khrushchev, “Multiple stochastic integrals constructed by special expansions of products of the integrating stochastic processes”, Mat. Tr., 17:2 (2014),  61–83  mathnet  mathscinet; Siberian Adv. Math., 26:1 (2016), 1–16
11. I. S. Borisov, “On the sum of the variances of the order statistics for samples of dependent observations”, Sib. Èlektron. Mat. Izv., 11 (2014),  857–862  mathnet 1
2013
12. I. S. Borisov, V. A. Zhechev, “Invariance principle for canonical $U$- and $V$-statistics based on dependent observations”, Mat. Tr., 16:2 (2013),  28–44  mathnet  mathscinet; Siberian Adv. Math., 25:1 (2015), 21–32 2
13. I. S. Borisov, “Stability of the partial sum process of residuals in a multiple linear regression model”, Sib. Èlektron. Mat. Izv., 10 (2013),  727–732  mathnet 1
14. I. S. Borisov, “Transformations of the simplest nonsymmetric random walks and some applications of the invariance principle”, Teor. Veroyatnost. i Primenen., 58:2 (2013),  381–387  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 58:2 (2014), 323–329  isi  elib  scopus
2012
15. I. S. Borisov, S. E. Khrushchev, “Constructing multiple stochastic integrals on non-Gaussian product measures”, Mat. Tr., 15:2 (2012),  37–71  mathnet  mathscinet  elib; Siberian Adv. Math., 24:2 (2014), 75–99 1
2011
16. I. S. Borisov, A. M. Shoisoronov, “A continuity theorem in the ruin problem”, Sibirsk. Mat. Zh., 52:4 (2011),  765–776  mathnet  mathscinet; Siberian Math. J., 52:4 (2011), 602–611  isi  scopus 3
17. I. S. Borisov, V. A. Zhechev, “The functional limit theorem for the canonical $U$-processes defined on dependent trials”, Sibirsk. Mat. Zh., 52:4 (2011),  754–764  mathnet  mathscinet; Siberian Math. J., 52:4 (2011), 593–601  isi  scopus 1
18. I. S. Borisov, N. N. Nikitina, “Distribution of the number of crossings of a strip by trajectories of the simpliest random walks and the Wiener process with a drift”, Teor. Veroyatnost. i Primenen., 56:1 (2011),  152–158  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 56:1 (2012), 126–132  isi  elib  scopus 5
2010
19. I. S. Borisov, D. I. Sidorov, “Limit theorems for additive statistics based on moving average samples”, Mat. Tr., 13:2 (2010),  10–32  mathnet  mathscinet; Siberian Adv. Math., 21:4 (2011), 233–249
2008
20. I. S. Borisov, N. V. Volodko, “Exponential inequalities for the distributions of canonical $U$- and $V$-statistics of dependent observations”, Mat. Tr., 11:2 (2008),  3–19  mathnet  mathscinet; Siberian Adv. Math., 19:1 (2009), 1–12 10
21. I. S. Borisov, N. V. Volodko, “Orthogonal series and limit theorems for canonical $U$- and $V$-statistics of stationary connected observations”, Mat. Tr., 11:1 (2008),  25–48  mathnet  mathscinet; Siberian Adv. Math., 18:4 (2008), 242–257 14
22. I. S. Borisov, I. S. Vorozheikin, “Accuracy of approximation in the Poisson theorem in terms of the $\chi^2$-distance”, Sibirsk. Mat. Zh., 49:1 (2008),  8–22  mathnet  mathscinet  zmath  elib; Siberian Math. J., 49:1 (2008), 5–17  isi  elib  scopus 14
23. I. S. Borisov, “A Note on the Distribution of the Number of Crossings of a Strip by a Random Walk”, Teor. Veroyatnost. i Primenen., 53:2 (2008),  345–349  mathnet  zmath  elib; Theory Probab. Appl., 53:2 (2009), 312–316  isi  elib  scopus 7
2007
24. N. S. Arkashov, I. S. Borisov, A. A. Mogul'skii, “Large deviation principle for partial sum processes of moving averages”, Teor. Veroyatnost. i Primenen., 52:2 (2007),  209–239  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 52:2 (2008), 181–208  isi  scopus 1
2006
25. I. S. Borisov, A. A. Bystrov, “Limit theorems for the canonical von Mises statistics with dependent data”, Sibirsk. Mat. Zh., 47:6 (2006),  1205–1217  mathnet  mathscinet  zmath; Siberian Math. J., 47:6 (2006), 980–989  isi  scopus 9
2005
26. I. S. Borisov, A. A. Bystrov, “Constructing a stochastic integral of a nonrandom function without orthogonality of the noise”, Teor. Veroyatnost. i Primenen., 50:1 (2005),  52–80  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 50:1 (2006), 53–74  isi 5
2004
27. N. S. Arkashov, I. S. Borisov, “Gaussian approximation to the partial sum processes of moving averages”, Sibirsk. Mat. Zh., 45:6 (2004),  1221–1255  mathnet  mathscinet  zmath; Siberian Math. J., 45:6 (2004), 1000–1030  isi 10
2003
28. I. S. Borisov, D. V. Mironov, “Convergence rate of the distributions of normalized maximum likelihood estimators for irregular parametric families”, Sibirsk. Mat. Zh., 44:3 (2003),  521–541  mathnet  mathscinet  zmath; Siberian Math. J., 44:3 (2003), 411–427  isi 1
29. I. S. Borisov, “A note on Dobrushin's theorem and couplings in poisson approximation in abelian groups”, Teor. Veroyatnost. i Primenen., 48:3 (2003),  576–583  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 48:3 (2004), 521–528  isi 5
2001
30. I. S. Borisov, L. A. Sakhanenko, “The Central Limit Theorem for Generalized Canonical von Mises Statistics”, Mat. Tr., 4:1 (2001),  3–17  mathnet  mathscinet  zmath; Siberian Adv. Math., 10:4 (2000), 1–14 1
31. I. S. Borisov, D. V. Mironov, “An asymptotic representation of the likelihood ratio for irregular families of distributions in the multivariate case”, Sibirsk. Mat. Zh., 42:2 (2001),  275–288  mathnet  mathscinet  zmath; Siberian Math. J., 42:2 (2001), 232–244  isi 4
32. I. S. Borisov, E. A. Baklanov, “Probability inequalities for generalized $L$-statistics”, Sibirsk. Mat. Zh., 42:2 (2001),  258–274  mathnet  mathscinet  zmath; Siberian Math. J., 42:2 (2001), 217–231  isi 2
2000
33. I. S. Borisov, D. V. Mironov, “An asymptotic representation for the likelihood ratio for multidimensional samples with discontinuous desities”, Teor. Veroyatnost. i Primenen., 45:2 (2000),  345–356  mathnet  mathscinet  zmath; Theory Probab. Appl., 45:2 (2001), 289–300  isi 5
1998
34. I. S. Borisov, E. A. Baklanov, “Moment inequalities for generalized $L$-statistics”, Sibirsk. Mat. Zh., 39:3 (1998),  483–489  mathnet  mathscinet  zmath; Siberian Math. J., 39:3 (1998), 415–421  isi 1
1996
35. I. S. Borisov, “Poisson approximation of the partial sum process in Banach spaces”, Sibirsk. Mat. Zh., 37:4 (1996),  723–731  mathnet  mathscinet  zmath; Siberian Math. J., 37:4 (1996), 627–634  isi 10
36. I. S. Borisov, G. I. Skilyagina, “On asymptotic expansion of the moments of smooth functions in the central limit theorem”, Sibirsk. Mat. Zh., 37:3 (1996),  519–525  mathnet  mathscinet  zmath; Siberian Math. J., 37:3 (1996), 447–453  isi 1
37. I. S. Borisov, A. V. Shadrin, “Some remarks on the Sh. S. Èbralidze inequality”, Teor. Veroyatnost. i Primenen., 41:1 (1996),  177–181  mathnet  mathscinet  zmath; Theory Probab. Appl., 41:1 (1997), 143–146  isi 5
1993
38. I. S. Borisov, E. A. Solov'ev, “Second-order approximation for the distributions of smooth functionals of sums of independent Banach-space-valued random elements”, Trudy Inst. Mat. SO RAN, 20 (1993),  3–31  mathnet  mathscinet  zmath
1991
39. I. S. Borisov, “Approximation of distributions of von Mises statistics with multidimensional kernels”, Sibirsk. Mat. Zh., 32:4 (1991),  20–35  mathnet  mathscinet  zmath; Siberian Math. J., 32:4 (1991), 554–566  isi 9
1989
40. I. S. Borisov, “Approximation of distributions of smooth functionals of sums of independent random elements in Banach spaces”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 13 (1989),  7–40  mathnet  mathscinet  zmath
1986
41. I. S. Borisov, A. A. Borovkov, “The second order approximation of random polygons in the Donsker–Prohorov invariance principle”, Teor. Veroyatnost. i Primenen., 31:2 (1986),  225–245  mathnet  mathscinet  zmath; Theory Probab. Appl., 31:2 (1987), 179–202  isi 7
1985
42. I. S. Borisov, “A new approach to the problem of approximation of distributions of sums of independent random variables in linear spaces”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 5 (1985),  3–27  mathnet  mathscinet  zmath
43. I. S. Borisov, “A remark on the rate of convergence in the central limit theorem in Banach spaces”, Sibirsk. Mat. Zh., 26:2 (1985),  29–35  mathnet  mathscinet  zmath; Siberian Math. J., 26:2 (1985), 180–185  isi 2
44. I. S. Borisov, “Exponential estimates for distributions of sums of independent random fields”, Sibirsk. Mat. Zh., 26:1 (1985),  12–22  mathnet  mathscinet  zmath; Siberian Math. J., 26:1 (1985), 7–15  isi 1
1984
45. I. S. Borisov, “The rate of convergence in the central limit theorem for empirical measures”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 3 (1984),  125–143  mathnet  mathscinet  zmath
1983
46. I. S. Borisov, “An approach to the problem of approximation of distributions of sums of independent random elements”, Dokl. Akad. Nauk SSSR, 272:2 (1983),  271–275  mathnet  mathscinet  zmath
47. I. S. Borisov, “On the question of the accuracy of approximation in the central limit theorem for empirical measures”, Sibirsk. Mat. Zh., 24:6 (1983),  14–25  mathnet  mathscinet  zmath; Siberian Math. J., 24:6 (1983), 833–843  isi 2
48. I. S. Borisov, “On the rate of convergence in Donsker–Prohorov invariance principle”, Teor. Veroyatnost. i Primenen., 28:2 (1983),  367–372  mathnet  mathscinet  zmath; Theory Probab. Appl., 28:2 (1984), 388–393  isi 7
1982
49. I. S. Borisov, “Probability space methods for Markov processes”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 1 (1982),  4–18  mathnet  mathscinet  zmath
50. I. S. Borisov, “Approximation of empirical fields that are constructed from vector observations with dependent coordinates”, Sibirsk. Mat. Zh., 23:5 (1982),  31–41  mathnet  mathscinet  zmath; Siberian Math. J., 23:5 (1982), 615–623  isi 2
51. I. S. Borisov, “On a criterion for Gaussian random to be a Markov one”, Teor. Veroyatnost. i Primenen., 27:4 (1982),  802–805  mathnet  mathscinet  zmath; Theory Probab. Appl., 27:4 (1983), 863–865  isi 12
1980
52. I. S. Borisov, “On conditions for the existence of bounded density of additive functionals for some random processes”, Teor. Veroyatnost. i Primenen., 25:3 (1980),  464–475  mathnet  mathscinet  zmath; Theory Probab. Appl., 25:3 (1981), 454–465  isi 4
53. I. S. Borisov, A. A. Borovkov, “Asymptotic behaviour of the number of nonoccupied channels for systems with refusals”, Teor. Veroyatnost. i Primenen., 25:3 (1980),  449–463  mathnet  mathscinet  zmath; Theory Probab. Appl., 25:3 (1981), 439–453  isi 2
1979
54. I. S. Borisov, “Some limit theorems for sums of dependent random processes”, Sibirsk. Mat. Zh., 20:2 (1979),  237–247  mathnet  mathscinet  zmath; Siberian Math. J., 20:2 (1979), 168–176  isi 1
1978
55. I. S. Borisov, “Estimation of the rate of convergence of distributions of additive functionals of a sequence of sums of independent random variables”, Sibirsk. Mat. Zh., 19:3 (1978),  530–546  mathnet  mathscinet  zmath; Siberian Math. J., 19:3 (1978), 371–383  isi 1
56. I. S. Borisov, “On the rate of convergence in the conditional invariance principle”, Teor. Veroyatnost. i Primenen., 23:1 (1978),  67–79  mathnet  mathscinet  zmath; Theory Probab. Appl., 23:1 (1978), 63–76 3
1976
57. I. S. Borisov, “On the rate of convergence for the distributions of integral type functionals”, Teor. Veroyatnost. i Primenen., 21:2 (1976),  293–308  mathnet  mathscinet  zmath; Theory Probab. Appl., 21:2 (1977), 283–299 9
2011
58. I. S. Borisov, “The 5th International conference “Limit theorems of probability theory and their applications””, Teor. Veroyatnost. i Primenen., 56:4 (2011),  626  mathnet
2006
59. N. N. Vakhania, I. A. Ibragimov, V. P. Maslov, Yu. V. Prokhorov, B. A. Sevast'yanov, Ya. G. Sinai, D. M. Chibisov, A. N. Shiryaev, I. S. Borisov, V. I. Lotov, A. A. Mogul'skii, S. G. Foss, “To the 75th birthday of A. A. Borovkov”, Teor. Veroyatnost. i Primenen., 51:2 (2006),  257–259  mathnet  mathscinet  zmath; Theory Probab. Appl., 51:2 (2007), 225–226  isi
2001
60. I. S. Borisov, I. A. Ibragimov, V. I. Lotov, A. A. Mogul'skii, Yu. V. Prokhorov, S. G. Foss, “Aleksandr Alekseevich Borovkov (on his 70th birthday)”, Uspekhi Mat. Nauk, 56:5(341) (2001),  202–204  mathnet  mathscinet  zmath; Russian Math. Surveys, 56:5 (2001), 1009–1012  isi 1
61. M. M. Lavrent'ev, V. L. Beresnev, I. S. Borisov, S. K. Godunov, S. S. Goncharov, Yu. L. Ershov, A. A. Mogul'skii, S. S. Kutateladze, Yu. G. Reshetnyak, V. G. Romanov, “Aleksandr Alekseevich Borovkov (on the occasion of his seventieth birthday)”, Sibirsk. Mat. Zh., 42:2 (2001),  243–248  mathnet  mathscinet  zmath 1

Presentations in Math-Net.Ru
1. Asymptotic analysis of the distribution of the sojourn time for a random walk above a receding boundary
Igor Borisov, Evgeniy Shefer
International Conference "Theory of Probability and Its Applications: P. L. Chebyshev – 200" (The 6th International Conference on Stochastic Methods)
May 22, 2021 11:00   
2. Poissonization inequalities for sums of independent B-valued random variables
Igor S. Borisov
International conference "Prokhorov and Probability Theory" dedicated to the 90th anniversary of birth of Yu. V. Prokhorov
December 16, 2019 12:55   
3. Invariance Principle and Probability Inequalities for Canonical von Mises' Statistics of Dependent Observations
I. S. Borisov
International Scientific Conference "Probability Theory and its Applications" On Occasion of 85th Birthday of Yu. V. Prokhorov
February 13, 2015 14:45   

Organisations
 
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