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Rozovskii, Leonid Victorovich

Statistics Math-Net.Ru
Total publications: 73
Scientific articles: 72
Presentations: 2

Number of views:
This page:1684
Abstract pages:12054
Full texts:3279
References:970
Doctor of physico-mathematical sciences
E-mail: ,

http://www.mathnet.ru/eng/person30488
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https://mathscinet.ams.org/mathscinet/MRAuthorID/197167

Publications in Math-Net.Ru
2019
1. L. V. Rozovskii, “On integro-local CLT for sums of independent random vectors”, Teor. Veroyatnost. i Primenen., 64:4 (2019),  707–724  mathnet; Theory Probab. Appl., 64:4 (2019), 564–578
2. L. V. Rozovskii, “Integro-local CLT for sums of independent nonlattice random vectors”, Teor. Veroyatnost. i Primenen., 64:1 (2019),  36–52  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 64:1 (2019), 27–40  isi  scopus
2018
3. L. V. Rozovskii, “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  mathnet  elib; Theory Probab. Appl., 63:3 (2019), 381–392  isi  scopus
4. L. V. Rozovskii, “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  mathnet  elib; Theory Probab. Appl., 63:1 (2018), 155–163  isi  scopus
2017
5. L. V. Rozovskii, “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  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 62:3 (2018), 491–495  isi  scopus
6. L. V. Rozovsky, “On asymptotic expansions in the “interval” CLT for sums of independent random vectors”, Zap. Nauchn. Sem. POMI, 466 (2017),  273–288  mathnet
2016
7. L. V. Rozovsky, “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  mathnet  mathscinet; J. Math. Sci. (N. Y.), 229:6 (2018), 767–771  scopus
2015
8. L. V. Rozovskii, “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  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 60:1 (2016), 142–150  isi  scopus
9. L. V. Rozovsky, “On relation of the growth rate between moments and semyinvariants of a higher order”, Zap. Nauchn. Sem. POMI, 442 (2015),  118–121  mathnet  mathscinet; J. Math. Sci. (N. Y.), 225:5 (2017), 802–804
2014
10. L. V. Rozovskii, “Superlarge deviation probabilities for sums of independent random variables with exponential decreasing distributions. II”, Teor. Veroyatnost. i Primenen., 59:1 (2014),  187–196  mathnet  mathscinet  elib; Theory Probab. Appl., 59:1 (2015), 168–177  isi  scopus
11. L. V. Rozovsky, “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  mathnet  mathscinet; J. Math. Sci. (N. Y.), 214:4 (2016), 540–545  scopus
2013
12. L. V. Rozovsky, “Small deviations of series of independent nonnegative random variables with smooth weights”, Teor. Veroyatnost. i Primenen., 58:1 (2013),  133–151  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 58:1 (2014), 121–137  isi  elib  scopus
13. L. V. Rozovsky, “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  mathnet  mathscinet; J. Math. Sci. (N. Y.), 204:1 (2015), 155–164  scopus
2012
14. L. V. Rozovsky, “On the convergence conditions of the generalized Spitzer series”, Teor. Veroyatnost. i Primenen., 57:4 (2012),  809–810  mathnet  zmath  elib; Theory Probab. Appl., 57:4 (2013), 697–698  isi  elib  scopus
2011
15. L. V. Rozovsky, “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  mathnet  mathscinet; J. Math. Sci. (N. Y.), 188:6 (2013), 748–752  scopus
2010
16. L. V. Rozovsky, “Small deviations of series of weighted positive random variables”, Zap. Nauchn. Sem. POMI, 384 (2010),  212–224  mathnet; J. Math. Sci. (N. Y.), 176:2 (2011), 224–231  scopus
2009
17. L. V. Rozovskii, “Probabilities of small deviations of the maximum of partial sums”, Teor. Veroyatnost. i Primenen., 54:4 (2009),  794–801  mathnet  mathscinet; Theory Probab. Appl., 54:4 (2010), 717–724  isi  scopus
18. L. V. Rozovsky, “Small deviations of the maximal element of a sequence of independent variables with smooth weights”, Zap. Nauchn. Sem. POMI, 368 (2009),  190–200  mathnet; J. Math. Sci. (N. Y.), 167:4 (2010), 543–549  scopus
2008
19. L. V. Rozovskii, “The Chernoff-Type Large Deviations for Sums with a Random Normalization”, Teor. Veroyatnost. i Primenen., 53:4 (2008),  810–817  mathnet  mathscinet  zmath; Theory Probab. Appl., 53:4 (2009), 727–735  isi  scopus
20. L. V. Rozovskii, “On Gaussian Measure of Balls in a Hilbert Space”, Teor. Veroyatnost. i Primenen., 53:2 (2008),  382–390  mathnet  zmath; Theory Probab. Appl., 53:2 (2009), 357–364  isi  scopus
21. L. V. Rozovskii, “Small deviations of modified sums of independent random variables”, Zap. Nauchn. Sem. POMI, 361 (2008),  109–122  mathnet  zmath; J. Math. Sci. (N. Y.), 159:3 (2009), 341–349  scopus
2007
22. L. V. Rozovskii, “Superlarge deviation probabilities for sums of independent random variables with exponential decreasing distribution”, Teor. Veroyatnost. i Primenen., 52:1 (2007),  175–179  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 52:1 (2008), 167–171  isi  scopus
23. L. V. Rozovskii, “A nonuniform estimate of the remainder in the central limit theorem”, Zap. Nauchn. Sem. POMI, 351 (2007),  238–241  mathnet; J. Math. Sci. (N. Y.), 152:6 (2008), 932–933  scopus
24. L. V. Rozovskii, “Small deviation probabilities for sums of independent positive random variables”, Zap. Nauchn. Sem. POMI, 341 (2007),  151–167  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 147:4 (2007), 6935–6945  scopus
2005
25. L. V. Rozovskii, “Small deviation probabilities for a class of distributions with a polinomial decreasing at zero”, Zap. Nauchn. Sem. POMI, 328 (2005),  182–190  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 139:3 (2006), 6603–6607  scopus
2004
26. L. V. Rozovskii, “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  mathnet  mathscinet  zmath; Theory Probab. Appl., 49:4 (2005), 724–734  isi
27. L. V. Rozovskii, “On small deviation probabilities of positive random variables”, Zap. Nauchn. Sem. POMI, 320 (2004),  150–159  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 137:1 (2006), 4561–4566
28. L. V. Rozovskii, “Sums of independent random variables with finite variances – moderate deviations and nonuniform bounds in the CLT”, Zap. Nauchn. Sem. POMI, 311 (2004),  242–259  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 133:3 (2006), 1345–1355
2003
29. L. V. Rozovskii, “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  mathnet  mathscinet  zmath; Theory Probab. Appl., 48:3 (2004), 561–568  isi
30. L. V. Rozovskii, “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  mathnet  mathscinet  zmath; Theory Probab. Appl., 48:1 (2004), 108–130  isi
31. L. V. Rozovskii, “Large deviation probabilities for some classes of distributions, satisfying the Cramer condition”, Zap. Nauchn. Sem. POMI, 298 (2003),  161–185  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 128:1 (2005), 2585–2600
2002
32. L. V. Rozovskii, “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  mathnet  mathscinet  zmath; Theory Probab. Appl., 47:1 (2003), 174–183  isi
33. L. V. Rozovskii, “A remark on the Kolmogorov law of the iterated logarithm”, Teor. Veroyatnost. i Primenen., 47:1 (2002),  166–169  mathnet  mathscinet  zmath; Theory Probab. Appl., 47:1 (2003), 171–173  isi
34. L. V. Rozovskii, “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  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 127:1 (2005), 1767–1783
2001
35. L. V. Rozovskii, “On a lower bound of large – deviation probabilities for the sample mean under the Cramer condition”, Zap. Nauchn. Sem. POMI, 278 (2001),  208–224  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 118:6 (2003), 5624–5634
36. L. V. Rozovskii, “On some properties of a mean value”, Zap. Nauchn. Sem. POMI, 278 (2001),  204–207  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 118:6 (2003), 5621–5623
1999
37. L. V. Rozovskii, “On the J. Doob inequality for characteristic functions”, Teor. Veroyatnost. i Primenen., 44:3 (1999),  650–652  mathnet  mathscinet  zmath; Theory Probab. Appl., 44:3 (2000), 588–590  isi
38. L. V. Rozovskii, “An extremal property of the uniform distribution and some of its consequences”, Teor. Veroyatnost. i Primenen., 44:3 (1999),  646–650  mathnet  mathscinet  zmath; Theory Probab. Appl., 44:3 (2000), 583–588  isi
39. L. V. Rozovskii, “On a Feller theorem”, Teor. Veroyatnost. i Primenen., 44:1 (1999),  128–132  mathnet  mathscinet  zmath; Theory Probab. Appl., 44:1 (2000), 119–124  isi
40. L. V. Rozovskii, “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  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 109:6 (2002), 2210–2218
41. L. V. Rozovskii, “A lower bound for large deviation probabilities of sum of independent random variables with finite variances”, Zap. Nauchn. Sem. POMI, 260 (1999),  218–239  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 109:6 (2002), 2192–2209
1998
42. L. V. Rozovskii, “On the Cramér series coefficients”, Teor. Veroyatnost. i Primenen., 43:1 (1998),  161–166  mathnet  mathscinet  zmath; Theory Probab. Appl., 43:1 (1999), 152–157  isi
1997
43. L. V. Rozovskii, “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  mathnet  mathscinet  zmath; Theory Probab. Appl., 42:3 (1998), 454–482  isi
44. L. V. Rozovskii, “A generalization of the Kolmogorov theorem on the law of the iterated logarithm”, Teor. Veroyatnost. i Primenen., 42:1 (1997),  134–143  mathnet  mathscinet  zmath; Theory Probab. Appl., 42:1 (1998), 112–120  isi
45. L. V. Rozovskii, “On the law of iterated logarithm for sums of the independent finite variation random variables”, Zap. Nauchn. Sem. POMI, 244 (1997),  257–270  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 99:2 (2000), 1173–1181
1996
46. L. V. Rozovski, “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  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 93:3 (1999), 421–435
1994
47. L. V. Rozovsky, “Sharpening of a Feller theorem on the law of iterated logarithm”, Zap. Nauchn. Sem. POMI, 216 (1994),  117–123  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 88:1 (1998), 81–85
1993
48. L. V. Rozovskii, “Probabilities of large deviations on the whole axis”, Teor. Veroyatnost. i Primenen., 38:1 (1993),  79–109  mathnet  mathscinet  zmath; Theory Probab. Appl., 38:1 (1993), 53–79  isi
1992
49. L. V. Rozovsky, “More about convergence rate in the weak law of large numbers”, Zap. Nauchn. Sem. LOMI, 194 (1992),  138–140  mathnet  mathscinet; J. Math. Sci., 75:5 (1995), 1961–1962
1989
50. L. V. Rozovskiĭ, “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  mathnet  mathscinet  zmath; Theory Probab. Appl., 34:4 (1989), 625–644  isi
51. L. V. Rozovskii, “Rate of Convergence in the Weak Law of Large Numbers”, Teor. Veroyatnost. i Primenen., 34:2 (1989),  392–395  mathnet  mathscinet  zmath; Theory Probab. Appl., 34:2 (1989), 348–351  isi
52. L. V. Rozovsky, “On the normal approximation ocuracy”, Zap. Nauchn. Sem. LOMI, 177 (1989),  129–137  mathnet  mathscinet  zmath; J. Soviet Math., 61:1 (1992), 1911–1918
1988
53. L. V. Rozovskii, “Asymptotic expansion of the Fourier–Stieltjes transform of a finite measure in a neighborhood of zero”, Mat. Zametki, 43:4 (1988),  558–572  mathnet  mathscinet  zmath; Math. Notes, 43:4 (1988), 321–329  isi
1987
54. L. V. Rozovskii, “An estimate for probabilities of large deviations”, Mat. Zametki, 42:1 (1987),  145–156  mathnet  mathscinet  zmath; Math. Notes, 42:1 (1987), 590–597  isi
1986
55. L. V. Rozovskii, “Normal approximation for calculating the rate of convergence in the weak law of large numbers”, Mat. Zametki, 40:2 (1986),  252–268  mathnet  mathscinet  zmath; Math. Notes, 40:2 (1986), 644–654  isi
56. L. V. Rozovskiĭ, “On the accuracy of approximation in limit theorems for large deviations”, Teor. Veroyatnost. i Primenen., 31:2 (1986),  301–314  mathnet  mathscinet  zmath; Theory Probab. Appl., 31:2 (1987), 255–268  isi
1985
57. L. V. Rozovskii, “A problem of A. N. Kolmogorov”, Dokl. Akad. Nauk SSSR, 283:2 (1985),  313–314  mathnet  mathscinet  zmath
58. L. V. Rozovsky, “Some estimates of probabilities of large deviations”, Teor. Veroyatnost. i Primenen., 30:4 (1985),  800–804  mathnet  mathscinet  zmath; Theory Probab. Appl., 30:4 (1986), 850–855  isi
59. L. V. Rozovskii, “Accuracy of the approximation of the characteristic functions by polynomials”, Zap. Nauchn. Sem. LOMI, 142 (1985),  141–144  mathnet  mathscinet  zmath; J. Soviet Math., 36:4 (1987), 532–535
1983
60. L. V. Rozovskii, “On the probability of large deviations of sums of independent identically distributed random variables”, Dokl. Akad. Nauk SSSR, 273:2 (1983),  301–306  mathnet  mathscinet  zmath
61. L. V. Rozovskii, “Estimates of the rate of convergence in the strong law of large numbers”, Mat. Zametki, 34:6 (1983),  883–896  mathnet  mathscinet  zmath; Math. Notes, 34:6 (1983), 937–944  isi
62. L. V. Rozovskii, “The probabilities of large deriations on Borel sets”, Zap. Nauchn. Sem. LOMI, 130 (1983),  157–166  mathnet  mathscinet  zmath
1981
63. L. V. Rozovskiĭ, “On limit theorems on large deviations in narrow zones”, Teor. Veroyatnost. i Primenen., 26:4 (1981),  847–857  mathnet  mathscinet  zmath; Theory Probab. Appl., 26:4 (1982), 834–845  isi
64. L. V. Rozovskiĭ, “On the rate of convergence in the strong law of large numbers”, Teor. Veroyatnost. i Primenen., 26:1 (1981),  138–143  mathnet  mathscinet  zmath; Theory Probab. Appl., 26:1 (1981), 135–140  isi
1980
65. L. V. Rozovskii, “Convergence rate to a normal law in an integral metric”, Mat. Zametki, 27:2 (1980),  307–316  mathnet  mathscinet  zmath; Math. Notes, 27:2 (1980), 152–157  isi
1978
66. L. V. Rozovskii, “A lower bound of the remainder term in the central limit theorem”, Mat. Zametki, 24:3 (1978),  403–410  mathnet  mathscinet  zmath; Math. Notes, 24:3 (1978), 715–719
67. L. V. Rozovskii, “An estimate of the speed of convergence in the multidmensional central limit theorem without moment hypotheses”, Mat. Zametki, 23:4 (1978),  627–640  mathnet  mathscinet  zmath; Math. Notes, 23:4 (1978), 343–351
68. L. V. Rozovskiĭ, “On the accuracy of the remainder term estimation in the central limit theorem”, Teor. Veroyatnost. i Primenen., 23:4 (1978),  744–761  mathnet  mathscinet  zmath; Theory Probab. Appl., 23:4 (1979), 712–730  isi
69. L. V. Rozovskiĭ, “On asymptotic behaviour of the remainder term in the central limit theorem”, Teor. Veroyatnost. i Primenen., 23:1 (1978),  109–119  mathnet  mathscinet  zmath; Theory Probab. Appl., 23:1 (1978), 106–116
1977
70. L. V. Rozovskii, “Properties of asymptotic expansions”, Mat. Zametki, 22:6 (1977),  907–914  mathnet  mathscinet  zmath; Math. Notes, 22:6 (1977), 996–1001
1975
71. L. V. Rozovskii, “Asymptotic expansions in the central limit theorem”, Teor. Veroyatnost. i Primenen., 20:4 (1975),  810–820  mathnet  mathscinet  zmath; Theory Probab. Appl., 20:4 (1976), 782–793
1974
72. L. V. Rozovskii, “Local limit theorems in $L_p$”, Mat. Zametki, 16:6 (1974),  951–956  mathnet  mathscinet  zmath; Math. Notes, 16:6 (1974), 1163–1166

2006
73. A. A. Borovkov, A. A. Mogul'skii, L. V. Rozovskii, A. I. Sakhanenko, “On Zhulev's paper “On large deviations. II””, Teor. Veroyatnost. i Primenen., 51:2 (2006),  445–446  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 51:2 (2007), 398–400  scopus

Presentations in Math-Net.Ru
1. О точной асимптотике малых уклонений $L_2$-норм некоторых гауссовских случайных полей
L. V. Rozovskii
Seminar on Probability Theory and Mathematical Statistics
May 19, 2017 18:00
2. Comparison theorems for small deviations of weighted series
L. V. Rozovskii
Seminar on Probability Theory and Mathematical Statistics
November 25, 2011 18:00

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