Petrov Valentin Vladimirovich

Publications in Math-Net.Ru

1. On the law of the iterated logarithm for sums of dependent random variables
   
   Zap. Nauchn. Sem. POMI, 486 (2019),  229–232
2. The law of the iterated logarithm and probabilities of moderate deviations of sums of dependent random variables
   
   Zap. Nauchn. Sem. POMI, 474 (2018),  195–198
3. On the law of the iterated logarithm without assumptions about the existence of moments
   
   Zap. Nauchn. Sem. POMI, 466 (2017),  208–210
4. On absolute convergence of series of random variables almost surely
   
   Zap. Nauchn. Sem. POMI, 431 (2014),  140–144
5. Strengthenings of inequalities by Lyapunov, Hölder and Minkowski
   
   Zap. Nauchn. Sem. POMI, 420 (2013),  149–156
6. On the strong law of large numbers for a sequence of dependent random variables
   
   Zap. Nauchn. Sem. POMI, 408 (2012),  285–288
7. A theorem on the strong law of large numbers for a sequence of nonnegative random variables
   
   Zap. Nauchn. Sem. POMI, 396 (2011),  172–174
8. On the strong law of large numbers for a sequence of nonnegative random variables
   
   Zap. Nauchn. Sem. POMI, 384 (2010),  182–184
9. On the Strong Law of Large Numbers for Nonnegative Random Variables
   
   Teor. Veroyatnost. i Primenen., 53:2 (2008),  379–382
10. On stability of sums of nonnegative random variables
    
    Zap. Nauchn. Sem. POMI, 361 (2008),  78–82
11. A generalization of the Chung-Erdös inequality for the probability of the union of events
    
    Zap. Nauchn. Sem. POMI, 341 (2007),  147–150
12. On estimation of the remainder in the central limit theorem
    
    Zap. Nauchn. Sem. POMI, 341 (2007),  142–146
13. On the growth of sums of non-negative random variables
    
    Zap. Nauchn. Sem. POMI, 311 (2004),  237–241
14. On the growth of sums of the indicators of events
    
    Zap. Nauchn. Sem. POMI, 298 (2003),  150–154
15. On the growth of sums of independent random variables
    
    Zap. Nauchn. Sem. POMI, 294 (2002),  158–164
16. On the Law of the Iterated Logarithm for a Sequence of Independent Random Variables
    
    Teor. Veroyatnost. i Primenen., 46:3 (2001),  569–571
17. On the law of the iterated logarithm for a sequence of independent random variables with finite variances
    
    Zap. Nauchn. Sem. POMI, 278 (2001),  182–186
18. On the law of the iterated logarithm without assumptions about the existence of moments
    
    Zap. Nauchn. Sem. POMI, 278 (2001),  177–181
19. On probabilities of moderate deviations
    
    Zap. Nauchn. Sem. POMI, 260 (1999),  214–217
20. On the almost sure behavior of a random sequence
    
    Zap. Nauchn. Sem. POMI, 228 (1996),  252–255
21. On Strong Limit Theorems for Sums of Independent Random Variables
    
    Teor. Veroyatnost. i Primenen., 37:1 (1992),  81–86
22. On the law of the iterated logarithm for a sequence of independent random variables
    
    Zap. Nauchn. Sem. LOMI, 194 (1992),  134–137
23. Limit theorems of classical type for sums of independent random variables
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 81 (1991),  10–38
24. On the Borel–Cantelli lemma
    
    Zap. Nauchn. Sem. LOMI, 184 (1990),  200–207
25. On moments of sums of independent random variables
    
    Zap. Nauchn. Sem. LOMI, 177 (1989),  120–121
26. A generalization of the Esseen inequality for the concentration function
    
    Zap. Nauchn. Sem. LOMI, 142 (1985),  55–58
27. One-side theorems on the law of the iterated logarithm without the independence assumption
    
    Zap. Nauchn. Sem. LOMI, 130 (1983),  150–156
28. Sequences of $m$-orthogonal random variables
    
    Zap. Nauchn. Sem. LOMI, 119 (1982),  198–202
29. On a theorem of Feller
    
    Teor. Veroyatnost. i Primenen., 25:1 (1980),  194–197
30. On the law of the iterated logarithm for sequences of dependent random variables
    
    Zap. Nauchn. Sem. LOMI, 97 (1980),  186–194
31. A limit theorem for sums of independent non-identically distributed random variables
    
    Zap. Nauchn. Sem. LOMI, 85 (1979),  188–192
32. On necessary and sufficient conditions for the law of the iterated logarithm
    
    Teor. Veroyatnost. i Primenen., 22:1 (1977),  18–26
33. A strong law of large numbers for orthogonal random variables
    
    Zap. Nauchn. Sem. LOMI, 72 (1977),  103–106
34. Some estimates for sums of dependent random variables which hold almost surely
    
    Zap. Nauchn. Sem. LOMI, 55 (1976),  113–116
35. An inequality for moments of a random variable
    
    Teor. Veroyatnost. i Primenen., 20:2 (1975),  402–403
36. A generalization of an inequality of Lévy
    
    Teor. Veroyatnost. i Primenen., 20:1 (1975),  140–144
37. Some theorems of iterated logarithm type
    
    Zap. Nauchn. Sem. LOMI, 41 (1974),  129–132
38. On the strong law of large numbers for a stationary sequence
    
    Dokl. Akad. Nauk SSSR, 213:1 (1973),  42–44
39. On the moments of distributions attracted to stable laws
    
    Teor. Veroyatnost. i Primenen., 18:3 (1973),  593–595
40. On the Order of Growth and Sums of Dependent Variables
    
    Teor. Veroyatnost. i Primenen., 18:2 (1973),  358–361
41. On the growth of sums of independent random variables
    
    Dokl. Akad. Nauk SSSR, 205:6 (1972),  1296–1299
42. Bounds in the weak law of large numbers
    
    Mat. Zametki, 12:5 (1972),  639–642
43. A theorem on the law of the iterated logarithm
    
    Teor. Veroyatnost. i Primenen., 16:4 (1971),  715–718
44. On an estimate of the concentration function of a sum of independent random variables
    
    Teor. Veroyatnost. i Primenen., 15:4 (1970),  718–721
45. The order of growth of sums of independent random variables
    
    Dokl. Akad. Nauk SSSR, 185:6 (1969),  1236–1238
46. On the distribution of the maximum of cumulative sums of independent random variables
    
    Teor. Veroyatnost. i Primenen., 14:4 (1969),  708–715
47. On the strong law of large numbers
    
    Teor. Veroyatnost. i Primenen., 14:2 (1969),  193–202
48. The asymptotic behavior of large deviation probabilities
    
    Teor. Veroyatnost. i Primenen., 13:3 (1968),  432–444
49. On the Estimation of the Remainder in the Central Limit Theorem
    
    Teor. Veroyatnost. i Primenen., 12:2 (1967),  322–329
50. On a relation between an estimate of the remainder in the central limit theorem and the law of iterated logarithm
    
    Teor. Veroyatnost. i Primenen., 11:3 (1966),  514–518
51. A bound for the deviation of the distribution of a sum of independent random variables from the normal law
    
    Dokl. Akad. Nauk SSSR, 160:5 (1965),  1013–1015
52. On the probabilities of large deviations for sums of independent random variables
    
    Teor. Veroyatnost. i Primenen., 10:2 (1965),  310–322
53. One-sided inequalities of Chebyshev type
    
    Dokl. Akad. Nauk SSSR, 154:6 (1964),  1270–1272
54. Probabilities of large deviations of sums of independent equally distributed random variables
    
    Dokl. Akad. Nauk SSSR, 154:4 (1964),  771–774
55. On Local Limit Theorems for the Sums of Independent Random Variables
    
    Teor. Veroyatnost. i Primenen., 9:2 (1964),  343–352
56. Local Limit Theorems for Non-Identical Lattice Distributions
    
    Teor. Veroyatnost. i Primenen., 7:3 (1962),  344–346
57. Integral theorems for large deviations
    
    Dokl. Akad. Nauk SSSR, 138:4 (1961),  779–780
58. Local theorems for large deviations
    
    Dokl. Akad. Nauk SSSR, 134:3 (1960),  525–528
59. On the law of the iterated logarithm
    
    Uspekhi Mat. Nauk, 15:2(92) (1960),  189–194
60. On a Class of Limit Theorems for Independent Random Variables
    
    Teor. Veroyatnost. i Primenen., 4:2 (1959),  224–228
61. Asymptotic Expansions for Distributions of Sums of Independent Random Variables
    
    Teor. Veroyatnost. i Primenen., 4:2 (1959),  220–224
62. A local theorem for latticed distributions
    
    Dokl. Akad. Nauk SSSR, 115:1 (1957),  49–52
63. The similarity of sliding, vibrational and optimal conditions of motion in servomechanisms
    
    Dokl. Akad. Nauk SSSR, 112:3 (1957),  394–397
64. A Local Theorem for Densities of Sums of Independent Random Variables
    
    Teor. Veroyatnost. i Primenen., 1:3 (1956),  349–357
65. Generalization of Cramér's limit theorem
    
    Uspekhi Mat. Nauk, 9:4(62) (1954),  195–202
66. On the method of least squares and its extremal properties
    
    Uspekhi Mat. Nauk, 9:1(59) (1954),  41–62


67. Letter to the editors
    
    Teor. Veroyatnost. i Primenen., 22:2 (1977),  442
68. Yurii Vladimirovich Linnik (obituary)
    
    Uspekhi Mat. Nauk, 28:2(170) (1973),  197–213
69. Nikolai Aleksandrovich Sapogov (on his fiftieth birthday)
    
    Uspekhi Mat. Nauk, 21:2(128) (1966),  259–260
70. Letter to the Editor
    
    Teor. Veroyatnost. i Primenen., 11:2 (1966),  362
71. Yurii Vladimirovich Linnik (on his fiftieth birthday)
    
    Uspekhi Mat. Nauk, 20:2(122) (1965),  221–236
72. Поправки к статье “Односторонние неравенства чебышевского типа” (ДАН, т. 154, № 6, 1964 г.)
    
    Dokl. Akad. Nauk SSSR, 159:2 (1964),  238
73. Поправки к статье “О вероятностях больших уклонений сумм независимых одинаково распределенных случайных величин” (ДАН, т. 154, № 4, 1964 г.)
    
    Dokl. Akad. Nauk SSSR, 159:2 (1964),  238
74. Поправки к статье “Об интегральных теоремах для больших уклонений” (ДАН, т. 138, № 4, 1961 г.)
    
    Dokl. Akad. Nauk SSSR, 143:3 (1962),  498
75. Поправки к статье “Об интегральных теоремах для больших уклонений” (ДАН, т. 138, № 4, 1961 г.)
    
    Dokl. Akad. Nauk SSSR, 143:2 (1962),  254
76. The 4th All-Union Mathematical Congress
    
    Uspekhi Mat. Nauk, 17:1(103) (1962),  261–264
77. Errata to the article in v.IV, № 2, 1959
    
    Teor. Veroyatnost. i Primenen., 4:4 (1959),  485
78. Errata
    
    Uspekhi Mat. Nauk, 11:2(68) (1956),  250–251
79. V. A. Unkovskii, Theory of probability (review)
    
    Uspekhi Mat. Nauk, 9:3(61) (1954),  278–282