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Borisov Igor' Semenovich

Publications in Math-Net.Ru

  1. Approximation of smooth regression functions of multiple variables by universal kernel estimators

    Teor. Veroyatnost. i Primenen., 71:1 (2026),  3–17
  2. Poisson approximation to the distributions of $\chi^2$-statistics

    Mat. Zametki, 117:5 (2025),  653–659
  3. An extremal property of self-normalized sums for symmetric random variables

    Mat. Tr., 27:4 (2024),  19–25
  4. On the existence of stationary sequences of $M$-orthogonal random variables with specified covariances

    Sib. Èlektron. Mat. Izv., 21:2 (2024),  972–977
  5. Universal nonparametric kernel-type estimators for the mean and covariance functions of a stochastic process

    Teor. Veroyatnost. i Primenen., 69:1 (2024),  46–75
  6. An approach to constructing explicit estimators in nonlinear regression

    Mat. Tr., 26:2 (2023),  177–191
  7. On a rate of convergence for the arcsine law

    Teor. Veroyatnost. i Primenen., 68:2 (2023),  209–235
  8. Асимптотика распределения времени пребывания случайного блуждания в области умеренно больших уклонений

    Mat. Tr., 23:2 (2020),  50–69
  9. 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
  10. Exponential inequalities for the distributions of canonical multiple partial sum processes

    Teor. Veroyatnost. i Primenen., 64:2 (2019),  209–227
  11. Exponential inequalities for the distributions of $V$-processes based on dependent observations

    Mat. Tr., 21:2 (2018),  102–116
  12. Constructing explicit estimators in nonlinear regression problems

    Teor. Veroyatnost. i Primenen., 63:1 (2018),  29–56
  13. 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
  14. Asymptotic expansions for the distributions of canonical $V$-statistics of third order

    Teor. Veroyatnost. i Primenen., 60:1 (2015),  3–24
  15. Multiple stochastic integrals constructed by special expansions of products of the integrating stochastic processes

    Mat. Tr., 17:2 (2014),  61–83
  16. On the sum of the variances of the order statistics for samples of dependent observations

    Sib. Èlektron. Mat. Izv., 11 (2014),  857–862
  17. Invariance principle for canonical $U$- and $V$-statistics based on dependent observations

    Mat. Tr., 16:2 (2013),  28–44
  18. Stability of the partial sum process of residuals in a multiple linear regression model

    Sib. Èlektron. Mat. Izv., 10 (2013),  727–732
  19. Transformations of the simplest nonsymmetric random walks and some applications of the invariance principle

    Teor. Veroyatnost. i Primenen., 58:2 (2013),  381–387
  20. Constructing multiple stochastic integrals on non-Gaussian product measures

    Mat. Tr., 15:2 (2012),  37–71
  21. A continuity theorem in the ruin problem

    Sibirsk. Mat. Zh., 52:4 (2011),  765–776
  22. The functional limit theorem for the canonical $U$-processes defined on dependent trials

    Sibirsk. Mat. Zh., 52:4 (2011),  754–764
  23. 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
  24. Limit theorems for additive statistics based on moving average samples

    Mat. Tr., 13:2 (2010),  10–32
  25. Exponential inequalities for the distributions of canonical $U$- and $V$-statistics of dependent observations

    Mat. Tr., 11:2 (2008),  3–19
  26. Orthogonal series and limit theorems for canonical $U$- and $V$-statistics of stationary connected observations

    Mat. Tr., 11:1 (2008),  25–48
  27. Accuracy of approximation in the Poisson theorem in terms of the $\chi^2$-distance

    Sibirsk. Mat. Zh., 49:1 (2008),  8–22
  28. 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
  29. Large deviation principle for partial sum processes of moving averages

    Teor. Veroyatnost. i Primenen., 52:2 (2007),  209–239
  30. Limit theorems for the canonical von Mises statistics with dependent data

    Sibirsk. Mat. Zh., 47:6 (2006),  1205–1217
  31. Constructing a stochastic integral of a nonrandom function without orthogonality of the noise

    Teor. Veroyatnost. i Primenen., 50:1 (2005),  52–80
  32. Gaussian approximation to the partial sum processes of moving averages

    Sibirsk. Mat. Zh., 45:6 (2004),  1221–1255
  33. Convergence rate of the distributions of normalized maximum likelihood estimators for irregular parametric families

    Sibirsk. Mat. Zh., 44:3 (2003),  521–541
  34. A note on Dobrushin's theorem and couplings in poisson approximation in abelian groups

    Teor. Veroyatnost. i Primenen., 48:3 (2003),  576–583
  35. The Central Limit Theorem for Generalized Canonical von Mises Statistics

    Mat. Tr., 4:1 (2001),  3–17
  36. An asymptotic representation of the likelihood ratio for irregular families of distributions in the multivariate case

    Sibirsk. Mat. Zh., 42:2 (2001),  275–288
  37. Probability inequalities for generalized $L$-statistics

    Sibirsk. Mat. Zh., 42:2 (2001),  258–274
  38. An asymptotic representation for the likelihood ratio for multidimensional samples with discontinuous desities

    Teor. Veroyatnost. i Primenen., 45:2 (2000),  345–356
  39. Moment inequalities for generalized $L$-statistics

    Sibirsk. Mat. Zh., 39:3 (1998),  483–489
  40. Poisson approximation of the partial sum process in Banach spaces

    Sibirsk. Mat. Zh., 37:4 (1996),  723–731
  41. On asymptotic expansion of the moments of smooth functions in the central limit theorem

    Sibirsk. Mat. Zh., 37:3 (1996),  519–525
  42. Some remarks on the Sh. S. Èbralidze inequality

    Teor. Veroyatnost. i Primenen., 41:1 (1996),  177–181
  43. 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
  44. Approximation of distributions of von Mises statistics with multidimensional kernels

    Sibirsk. Mat. Zh., 32:4 (1991),  20–35
  45. 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
  46. The second order approximation of random polygons in the Donsker–Prohorov invariance principle

    Teor. Veroyatnost. i Primenen., 31:2 (1986),  225–245
  47. 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
  48. A remark on the rate of convergence in the central limit theorem in Banach spaces

    Sibirsk. Mat. Zh., 26:2 (1985),  29–35
  49. Exponential estimates for distributions of sums of independent random fields

    Sibirsk. Mat. Zh., 26:1 (1985),  12–22
  50. The rate of convergence in the central limit theorem for empirical measures

    Trudy Inst. Mat. Sib. Otd. AN SSSR, 3 (1984),  125–143
  51. An approach to the problem of approximation of distributions of sums of independent random elements

    Dokl. Akad. Nauk SSSR, 272:2 (1983),  271–275
  52. On the question of the accuracy of approximation in the central limit theorem for empirical measures

    Sibirsk. Mat. Zh., 24:6 (1983),  14–25
  53. On the rate of convergence in Donsker–Prohorov invariance principle

    Teor. Veroyatnost. i Primenen., 28:2 (1983),  367–372
  54. Probability space methods for Markov processes

    Trudy Inst. Mat. Sib. Otd. AN SSSR, 1 (1982),  4–18
  55. Approximation of empirical fields that are constructed from vector observations with dependent coordinates

    Sibirsk. Mat. Zh., 23:5 (1982),  31–41
  56. On a criterion for Gaussian random to be a Markov one

    Teor. Veroyatnost. i Primenen., 27:4 (1982),  802–805
  57. On conditions for the existence of bounded density of additive functionals for some random processes

    Teor. Veroyatnost. i Primenen., 25:3 (1980),  464–475
  58. Asymptotic behaviour of the number of nonoccupied channels for systems with refusals

    Teor. Veroyatnost. i Primenen., 25:3 (1980),  449–463
  59. Some limit theorems for sums of dependent random processes

    Sibirsk. Mat. Zh., 20:2 (1979),  237–247
  60. 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
  61. On the rate of convergence in the conditional invariance principle

    Teor. Veroyatnost. i Primenen., 23:1 (1978),  67–79
  62. On the rate of convergence for the distributions of integral type functionals

    Teor. Veroyatnost. i Primenen., 21:2 (1976),  293–308

  63. The 5th International conference “Limit theorems of probability theory and their applications”

    Teor. Veroyatnost. i Primenen., 56:4 (2011),  626
  64. To the 75th birthday of A. A. Borovkov

    Teor. Veroyatnost. i Primenen., 51:2 (2006),  257–259
  65. Aleksandr Alekseevich Borovkov (on his 70th birthday)

    Uspekhi Mat. Nauk, 56:5(341) (2001),  202–204
  66. Aleksandr Alekseevich Borovkov (on the occasion of his seventieth birthday)

    Sibirsk. Mat. Zh., 42:2 (2001),  243–248

© Steklov Math. Inst. of RAS, 2026