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Publications in Math-Net.Ru |
Citations |
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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 ; Theory Probab. Appl., 69:1 (2024), 35–58 |
2
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2023 |
2. |
Yu. Yu. Linke, I. S. Borisov, “An approach to constructing explicit estimators in nonlinear regression”, Mat. Tr., 26:2 (2023), 177–191 ; Siberian Adv. Math., 33:4 (2023), 338–346 |
2
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3. |
I. S. Borisov, E. I. Shefer, “On a rate of convergence for the arcsine law”, Teor. Veroyatnost. i Primenen., 68:2 (2023), 209–235 ; Theory Probab. Appl., 68:2 (2023), 175–197 |
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2020 |
4. |
I. S. Borisov, E. I. Shefer, “Асимптотика распределения времени пребывания случайного блуждания в области умеренно больших уклонений”, Mat. Tr., 23:2 (2020), 50–69 |
1
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2019 |
5. |
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 ; Siberian Adv. Math., 30:2 (2020), 77–90 |
2
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6. |
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 ; Theory Probab. Appl., 64:2 (2019), 171–185 |
5
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2018 |
7. |
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 ; Siberian Adv. Math., 29 (2019), 263–273 |
8. |
Yu. Yu. Linke, I. S. Borisov, “Constructing explicit estimators in nonlinear regression problems”, Teor. Veroyatnost. i Primenen., 63:1 (2018), 29–56 ; Theory Probab. Appl., 63:1 (2018), 22–44 |
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2017 |
9. |
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 ; J. Math. Sci., 237:4 (2019), 511–520 |
3
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2015 |
10. |
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 ; Theory Probab. Appl., 60:1 (2016), 1–18 |
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2014 |
11. |
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 ; Siberian Adv. Math., 26:1 (2016), 1–16 |
12. |
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 |
1
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2013 |
13. |
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 ; Siberian Adv. Math., 25:1 (2015), 21–32 |
2
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14. |
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 |
1
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15. |
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 ; Theory Probab. Appl., 58:2 (2014), 323–329 |
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2012 |
16. |
I. S. Borisov, S. E. Khrushchev, “Constructing multiple stochastic integrals on non-Gaussian product measures”, Mat. Tr., 15:2 (2012), 37–71 ; Siberian Adv. Math., 24:2 (2014), 75–99 |
1
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2011 |
17. |
I. S. Borisov, A. M. Shoisoronov, “A continuity theorem in the ruin problem”, Sibirsk. Mat. Zh., 52:4 (2011), 765–776 ; Siberian Math. J., 52:4 (2011), 602–611 |
3
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18. |
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 ; Siberian Math. J., 52:4 (2011), 593–601 |
1
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19. |
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 ; Theory Probab. Appl., 56:1 (2012), 126–132 |
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2010 |
20. |
I. S. Borisov, D. I. Sidorov, “Limit theorems for additive statistics based on moving average samples”, Mat. Tr., 13:2 (2010), 10–32 ; Siberian Adv. Math., 21:4 (2011), 233–249 |
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2008 |
21. |
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 ; Siberian Adv. Math., 19:1 (2009), 1–12 |
11
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22. |
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 ; Siberian Adv. Math., 18:4 (2008), 242–257 |
14
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23. |
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 ; Siberian Math. J., 49:1 (2008), 5–17 |
14
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24. |
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 ; Theory Probab. Appl., 53:2 (2009), 312–316 |
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2007 |
25. |
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 ; Theory Probab. Appl., 52:2 (2008), 181–208 |
1
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2006 |
26. |
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 ; Siberian Math. J., 47:6 (2006), 980–989 |
9
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2005 |
27. |
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 ; Theory Probab. Appl., 50:1 (2006), 53–74 |
5
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2004 |
28. |
N. S. Arkashov, I. S. Borisov, “Gaussian approximation to the partial sum processes of moving averages”, Sibirsk. Mat. Zh., 45:6 (2004), 1221–1255 ; Siberian Math. J., 45:6 (2004), 1000–1030 |
10
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2003 |
29. |
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 ; Siberian Math. J., 44:3 (2003), 411–427 |
1
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30. |
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 ; Theory Probab. Appl., 48:3 (2004), 521–528 |
5
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2001 |
31. |
I. S. Borisov, L. A. Sakhanenko, “The Central Limit Theorem for Generalized Canonical von Mises Statistics”, Mat. Tr., 4:1 (2001), 3–17 ; Siberian Adv. Math., 10:4 (2000), 1–14 |
1
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32. |
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 ; Siberian Math. J., 42:2 (2001), 232–244 |
4
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33. |
I. S. Borisov, E. A. Baklanov, “Probability inequalities for generalized $L$-statistics”, Sibirsk. Mat. Zh., 42:2 (2001), 258–274 ; Siberian Math. J., 42:2 (2001), 217–231 |
2
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2000 |
34. |
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 ; Theory Probab. Appl., 45:2 (2001), 289–300 |
5
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1998 |
35. |
I. S. Borisov, E. A. Baklanov, “Moment inequalities for generalized $L$-statistics”, Sibirsk. Mat. Zh., 39:3 (1998), 483–489 ; Siberian Math. J., 39:3 (1998), 415–421 |
1
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1996 |
36. |
I. S. Borisov, “Poisson approximation of the partial sum process in Banach spaces”, Sibirsk. Mat. Zh., 37:4 (1996), 723–731 ; Siberian Math. J., 37:4 (1996), 627–634 |
10
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37. |
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 ; Siberian Math. J., 37:3 (1996), 447–453 |
1
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38. |
I. S. Borisov, A. V. Shadrin, “Some remarks on the Sh. S. Èbralidze inequality”, Teor. Veroyatnost. i Primenen., 41:1 (1996), 177–181 ; Theory Probab. Appl., 41:1 (1997), 143–146 |
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1993 |
39. |
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 |
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1991 |
40. |
I. S. Borisov, “Approximation of distributions of von Mises statistics with multidimensional kernels”, Sibirsk. Mat. Zh., 32:4 (1991), 20–35 ; Siberian Math. J., 32:4 (1991), 554–566 |
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1989 |
41. |
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 |
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1986 |
42. |
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 ; Theory Probab. Appl., 31:2 (1987), 179–202 |
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1985 |
43. |
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 |
44. |
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 ; Siberian Math. J., 26:2 (1985), 180–185 |
2
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45. |
I. S. Borisov, “Exponential estimates for distributions of sums of independent random fields”, Sibirsk. Mat. Zh., 26:1 (1985), 12–22 ; Siberian Math. J., 26:1 (1985), 7–15 |
1
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1984 |
46. |
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 |
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1983 |
47. |
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 |
48. |
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 ; Siberian Math. J., 24:6 (1983), 833–843 |
2
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49. |
I. S. Borisov, “On the rate of convergence in Donsker–Prohorov invariance principle”, Teor. Veroyatnost. i Primenen., 28:2 (1983), 367–372 ; Theory Probab. Appl., 28:2 (1984), 388–393 |
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1982 |
50. |
I. S. Borisov, “Probability space methods for Markov processes”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 1 (1982), 4–18 |
51. |
I. S. Borisov, “Approximation of empirical fields that are constructed from vector observations with dependent coordinates”, Sibirsk. Mat. Zh., 23:5 (1982), 31–41 ; Siberian Math. J., 23:5 (1982), 615–623 |
2
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52. |
I. S. Borisov, “On a criterion for Gaussian random to be a Markov one”, Teor. Veroyatnost. i Primenen., 27:4 (1982), 802–805 ; Theory Probab. Appl., 27:4 (1983), 863–865 |
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1980 |
53. |
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 ; Theory Probab. Appl., 25:3 (1981), 454–465 |
4
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54. |
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 ; Theory Probab. Appl., 25:3 (1981), 439–453 |
2
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1979 |
55. |
I. S. Borisov, “Some limit theorems for sums of dependent random processes”, Sibirsk. Mat. Zh., 20:2 (1979), 237–247 ; Siberian Math. J., 20:2 (1979), 168–176 |
1
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1978 |
56. |
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 ; Siberian Math. J., 19:3 (1978), 371–383 |
1
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57. |
I. S. Borisov, “On the rate of convergence in the conditional invariance principle”, Teor. Veroyatnost. i Primenen., 23:1 (1978), 67–79 ; Theory Probab. Appl., 23:1 (1978), 63–76 |
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1976 |
58. |
I. S. Borisov, “On the rate of convergence for the distributions of integral type functionals”, Teor. Veroyatnost. i Primenen., 21:2 (1976), 293–308 ; Theory Probab. Appl., 21:2 (1977), 283–299 |
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2011 |
59. |
I. S. Borisov, “The 5th International conference “Limit theorems of probability theory and their applications””, Teor. Veroyatnost. i Primenen., 56:4 (2011), 626 |
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2006 |
60. |
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 ; Theory Probab. Appl., 51:2 (2007), 225–226 |
1
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2001 |
61. |
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 ; Russian Math. Surveys, 56:5 (2001), 1009–1012 |
1
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62. |
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 |
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