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Rozovskii Leonid Victorovich

Publications in Math-Net.Ru

  1. On weak convergence of the moments of the sum of independent and identically distributed random variables

    Teor. Veroyatnost. i Primenen., 70:3 (2025),  522–530
  2. On the complete convergence of moments in exact asymptotics under normal approximation

    Teor. Veroyatnost. i Primenen., 68:4 (2023),  769–778
  3. On the convergence rate in precise asymptotics

    Teor. Veroyatnost. i Primenen., 68:1 (2023),  57–74
  4. On complete convergence of moments of i.i.d.r.v. with finite variances

    Zap. Nauchn. Sem. POMI, 525 (2023),  109–121
  5. Large deviations of a sum of independent random variables with distributions with rapidly decreasing tails

    Teor. Veroyatnost. i Primenen., 67:3 (2022),  456–470
  6. On a complete moment convergence in precise asymptotics

    Zap. Nauchn. Sem. POMI, 515 (2022),  180–188
  7. Comparison of Arithmetic, Geometric, and Harmonic Means

    Mat. Zametki, 110:1 (2021),  110–118
  8. On the convergence rate in “the exact asymptotics” for random variables with a stable distribution

    Zap. Nauchn. Sem. POMI, 501 (2021),  259–275
  9. On large deviations of a sum of independent random variables with rapidly decreasing distribution tails

    Dokl. RAN. Math. Inf. Proc. Upr., 491 (2020),  86–89
  10. Small deviation probabilities for sums of independent positive random variables

    Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7:3 (2020),  435–452
  11. Some limit theorems for large deviations of sums of independent random variables with a common distribution function from the domain of normal attraction of a stable distribution

    Zap. Nauchn. Sem. POMI, 495 (2020),  250–266
  12. On integro-local CLT for sums of independent random vectors

    Teor. Veroyatnost. i Primenen., 64:4 (2019),  707–724
  13. Integro-local CLT for sums of independent nonlattice random vectors

    Teor. Veroyatnost. i Primenen., 64:1 (2019),  36–52
  14. On the asymptotic behavior of the convolution of distributions with regularly exponentially decreasing tails

    Zap. Nauchn. Sem. POMI, 486 (2019),  265–274
  15. On the exact asymptotics of small deviations of $L_2$-norm for some Gaussian random fields

    Teor. Veroyatnost. i Primenen., 63:3 (2018),  468–481
  16. Small deviation probabilities for a weighted sum of independent positive random variables with common distribution function that can decrease at zero fast enough

    Teor. Veroyatnost. i Primenen., 63:1 (2018),  191–202
  17. Small deviation probabilities of weighted sum of independent random variables with a common distribution having a power decrease in zero under minimal moment assumptions

    Teor. Veroyatnost. i Primenen., 62:3 (2017),  610–616
  18. On asymptotic expansions in the “interval” CLT for sums of independent random vectors

    Zap. Nauchn. Sem. POMI, 466 (2017),  273–288
  19. Small deviation probabilities for sum of independent positive random variables, which have a common distribution, decreasing at zero not faster than a power

    Zap. Nauchn. Sem. POMI, 454 (2016),  254–260
  20. Small deviation probabilities of weighted sums of independent positive random variables with a common distribution that decreases at zero not faster than a power

    Teor. Veroyatnost. i Primenen., 60:1 (2015),  178–186
  21. On relation of the growth rate between moments and semyinvariants of a higher order

    Zap. Nauchn. Sem. POMI, 442 (2015),  118–121
  22. Superlarge deviation probabilities for sums of independent random variables with exponential decreasing distributions. II

    Teor. Veroyatnost. i Primenen., 59:1 (2014),  187–196
  23. Small deviation probabilities for weighted sum of independent random variables with a common distribution, decreasing at zero not faster than a power

    Zap. Nauchn. Sem. POMI, 431 (2014),  178–185
  24. Small deviations of series of independent nonnegative random variables with smooth weights

    Teor. Veroyatnost. i Primenen., 58:1 (2013),  133–151
  25. Small deviation probabilities for sums of independent positive random variables with distributions which are slowly varying at zero

    Zap. Nauchn. Sem. POMI, 412 (2013),  237–251
  26. On the convergence conditions of the generalized Spitzer series

    Teor. Veroyatnost. i Primenen., 57:4 (2012),  809–810
  27. Small deviation probabilities for sums of independent positive random variables, whose density has a power decay at zero

    Zap. Nauchn. Sem. POMI, 396 (2011),  195–203
  28. Small deviations of series of weighted positive random variables

    Zap. Nauchn. Sem. POMI, 384 (2010),  212–224
  29. Probabilities of small deviations of the maximum of partial sums

    Teor. Veroyatnost. i Primenen., 54:4 (2009),  794–801
  30. Small deviations of the maximal element of a sequence of independent variables with smooth weights

    Zap. Nauchn. Sem. POMI, 368 (2009),  190–200
  31. The Chernoff-Type Large Deviations for Sums with a Random Normalization

    Teor. Veroyatnost. i Primenen., 53:4 (2008),  810–817
  32. On Gaussian Measure of Balls in a Hilbert Space

    Teor. Veroyatnost. i Primenen., 53:2 (2008),  382–390
  33. Small deviations of modified sums of independent random variables

    Zap. Nauchn. Sem. POMI, 361 (2008),  109–122
  34. Superlarge deviation probabilities for sums of independent random variables with exponential decreasing distribution

    Teor. Veroyatnost. i Primenen., 52:1 (2007),  175–179
  35. A nonuniform estimate of the remainder in the central limit theorem

    Zap. Nauchn. Sem. POMI, 351 (2007),  238–241
  36. Small deviation probabilities for sums of independent positive random variables

    Zap. Nauchn. Sem. POMI, 341 (2007),  151–167
  37. Small deviation probabilities for a class of distributions with a polinomial decreasing at zero

    Zap. Nauchn. Sem. POMI, 328 (2005),  182–190
  38. On exact asymptotics in the weak law of large numbers for sums of independent random variables with a common distribution function from the domain of attraction of a stable law. II

    Teor. Veroyatnost. i Primenen., 49:4 (2004),  803–813
  39. On small deviation probabilities of positive random variables

    Zap. Nauchn. Sem. POMI, 320 (2004),  150–159
  40. Sums of independent random variables with finite variances – moderate deviations and nonuniform bounds in the CLT

    Zap. Nauchn. Sem. POMI, 311 (2004),  242–259
  41. On exact asymptotics in the weak law of large numbers for sums of independent random variables with a common distribution function from the domain of attraction of a stable law

    Teor. Veroyatnost. i Primenen., 48:3 (2003),  589–596
  42. Superlarge deviations of a sum of independent random variables having a common absolutely continuous distribution under the Cramér condition

    Teor. Veroyatnost. i Primenen., 48:1 (2003),  78–103
  43. Large deviation probabilities for some classes of distributions, satisfying the Cramer condition

    Zap. Nauchn. Sem. POMI, 298 (2003),  161–185
  44. An estimate from below of the remainder in the central limit theorem for a sum of independent random variables with finite moments of a high order

    Teor. Veroyatnost. i Primenen., 47:1 (2002),  169–178
  45. A remark on the Kolmogorov law of the iterated logarithm

    Teor. Veroyatnost. i Primenen., 47:1 (2002),  166–169
  46. Limit theorems for large derivations of sums of independent random variables with common distribution function from the domain of attraction of the normal law

    Zap. Nauchn. Sem. POMI, 294 (2002),  165–193
  47. On a lower bound of large – deviation probabilities for the sample mean under the Cramer condition

    Zap. Nauchn. Sem. POMI, 278 (2001),  208–224
  48. On some properties of a mean value

    Zap. Nauchn. Sem. POMI, 278 (2001),  204–207
  49. On the J. Doob inequality for characteristic functions

    Teor. Veroyatnost. i Primenen., 44:3 (1999),  650–652
  50. An extremal property of the uniform distribution and some of its consequences

    Teor. Veroyatnost. i Primenen., 44:3 (1999),  646–650
  51. On a Feller theorem

    Teor. Veroyatnost. i Primenen., 44:1 (1999),  128–132
  52. An estimate of the integral of the module of a generalized Poisson distribution characteristic function in a small length interval

    Zap. Nauchn. Sem. POMI, 260 (1999),  240–249
  53. A lower bound for large deviation probabilities of sum of independent random variables with finite variances

    Zap. Nauchn. Sem. POMI, 260 (1999),  218–239
  54. On the Cramér series coefficients

    Teor. Veroyatnost. i Primenen., 43:1 (1998),  161–166
  55. Probabilities of large deviations for sums of independent random variables with a common distribution function from the domain of attraction of an asymmetric stable law

    Teor. Veroyatnost. i Primenen., 42:3 (1997),  496–530
  56. A generalization of the Kolmogorov theorem on the law of the iterated logarithm

    Teor. Veroyatnost. i Primenen., 42:1 (1997),  134–143
  57. On the law of iterated logarithm for sums of the independent finite variation random variables

    Zap. Nauchn. Sem. POMI, 244 (1997),  257–270
  58. Large deviations of sums of independent random variables from the domain of attraction of a stable law

    Zap. Nauchn. Sem. POMI, 228 (1996),  262–283
  59. Sharpening of a Feller theorem on the law of iterated logarithm

    Zap. Nauchn. Sem. POMI, 216 (1994),  117–123
  60. Probabilities of large deviations on the whole axis

    Teor. Veroyatnost. i Primenen., 38:1 (1993),  79–109
  61. More about convergence rate in the weak law of large numbers

    Zap. Nauchn. Sem. LOMI, 194 (1992),  138–140
  62. Probabilities of Large Deviations of Sums of Independent Random Variables with a Common Distribution which Belongs to the Domain of Attraction of the Normal Law

    Teor. Veroyatnost. i Primenen., 34:4 (1989),  686–705
  63. Rate of Convergence in the Weak Law of Large Numbers

    Teor. Veroyatnost. i Primenen., 34:2 (1989),  392–395
  64. On the normal approximation ocuracy

    Zap. Nauchn. Sem. LOMI, 177 (1989),  129–137
  65. Asymptotic expansion of the Fourier–Stieltjes transform of a finite measure in a neighborhood of zero

    Mat. Zametki, 43:4 (1988),  558–572
  66. An estimate for probabilities of large deviations

    Mat. Zametki, 42:1 (1987),  145–156
  67. Normal approximation for calculating the rate of convergence in the weak law of large numbers

    Mat. Zametki, 40:2 (1986),  252–268
  68. On the accuracy of approximation in limit theorems for large deviations

    Teor. Veroyatnost. i Primenen., 31:2 (1986),  301–314
  69. A problem of A. N. Kolmogorov

    Dokl. Akad. Nauk SSSR, 283:2 (1985),  313–314
  70. Some estimates of probabilities of large deviations

    Teor. Veroyatnost. i Primenen., 30:4 (1985),  800–804
  71. Accuracy of the approximation of the characteristic functions by polynomials

    Zap. Nauchn. Sem. LOMI, 142 (1985),  141–144
  72. On the probability of large deviations of sums of independent identically distributed random variables

    Dokl. Akad. Nauk SSSR, 273:2 (1983),  301–306
  73. Estimates of the rate of convergence in the strong law of large numbers

    Mat. Zametki, 34:6 (1983),  883–896
  74. The probabilities of large deriations on Borel sets

    Zap. Nauchn. Sem. LOMI, 130 (1983),  157–166
  75. On limit theorems on large deviations in narrow zones

    Teor. Veroyatnost. i Primenen., 26:4 (1981),  847–857
  76. On the rate of convergence in the strong law of large numbers

    Teor. Veroyatnost. i Primenen., 26:1 (1981),  138–143
  77. Convergence rate to a normal law in an integral metric

    Mat. Zametki, 27:2 (1980),  307–316
  78. A lower bound of the remainder term in the central limit theorem

    Mat. Zametki, 24:3 (1978),  403–410
  79. An estimate of the speed of convergence in the multidmensional central limit theorem without moment hypotheses

    Mat. Zametki, 23:4 (1978),  627–640
  80. On the accuracy of the remainder term estimation in the central limit theorem

    Teor. Veroyatnost. i Primenen., 23:4 (1978),  744–761
  81. On asymptotic behaviour of the remainder term in the central limit theorem

    Teor. Veroyatnost. i Primenen., 23:1 (1978),  109–119
  82. Properties of asymptotic expansions

    Mat. Zametki, 22:6 (1977),  907–914
  83. Asymptotic expansions in the central limit theorem

    Teor. Veroyatnost. i Primenen., 20:4 (1975),  810–820
  84. Local limit theorems in $L_p$

    Mat. Zametki, 16:6 (1974),  951–956

  85. On Zhulev's paper “On large deviations. II”

    Teor. Veroyatnost. i Primenen., 51:2 (2006),  445–446

© Steklov Math. Inst. of RAS, 2025