Kruglov Victor Makarovich

Publications in Math-Net.Ru

1. A new sufficient condition for uniform integrability of exponential local martingales
   
   Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2020, no. 3,  5–13
2. Uniform integrability of exponential processes
   
   Lobachevskii J. Math., 40:10 (2019),  1498–1506
3. On equivalence of predictable and natural stochastic processes
   
   Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2018, no. 3,  58–71
4. On one identity for distribution of sums of independent random variables
   
   Teor. Veroyatnost. i Primenen., 58:2 (2013),  396–397
5. A simple proof of the unboundedness of homogeneous stochastic processes with independent increments
   
   Teor. Veroyatnost. i Primenen., 56:4 (2011),  806–808
6. Continuity of the natural filtration of a process with independent increments
   
   Teor. Veroyatnost. i Primenen., 54:4 (2009),  783–789
7. On Convergence of Submartingales
   
   Teor. Veroyatnost. i Primenen., 53:2 (2008),  364–373
8. On the necessity of the Lyapunov condition for normal convergence
   
   Teor. Veroyatnost. i Primenen., 52:1 (2007),  173–175
9. Growth of sums of pairwise independent random variables with infinite means
   
   Teor. Veroyatnost. i Primenen., 51:2 (2006),  382–385
10. Strengthening of Prokhorov's arcsine-inequality
    
    Teor. Veroyatnost. i Primenen., 50:4 (2005),  767–774
11. On inequalities for large deviations in the Bernoulli scheme
    
    Teor. Veroyatnost. i Primenen., 49:4 (2004),  785–790
12. Normal and Poisson convergencies
    
    Teor. Veroyatnost. i Primenen., 48:2 (2003),  392–398
13. On extending the Brunk–Prokhorov strong law of large numbers
    
    Teor. Veroyatnost. i Primenen., 47:2 (2002),  347–349
14. On the Necessity of the Lindeberg Condition for the Normal Convergence of Martingales
    
    Mat. Zametki, 70:1 (2001),  51–58
15. Weak Convergence of a Certain Functional
    
    Teor. Veroyatnost. i Primenen., 46:4 (2001),  779–784
16. Weak Convergence of Random Sums
    
    Teor. Veroyatnost. i Primenen., 46:1 (2001),  28–49
17. The asymptotic behavior of the Pearson statistic
    
    Teor. Veroyatnost. i Primenen., 45:1 (2000),  73–102
18. Complete convergence of the Pearson statistic
    
    Mat. Zametki, 66:4 (1999),  626–629
19. Weak compactness of random sums of independent random variables
    
    Teor. Veroyatnost. i Primenen., 43:2 (1998),  248–271
20. To the invariance principle
    
    Teor. Veroyatnost. i Primenen., 42:2 (1997),  239–261
21. Limit theorems for the maximal random sums
    
    Teor. Veroyatnost. i Primenen., 41:3 (1996),  520–532
22. Convergence of convolutions of concentration functions to degenerate, normal, and Poisson laws
    
    Teor. Veroyatnost. i Primenen., 39:2 (1994),  248–271
23. Criteria for Concentration Functions to Belong to the Domains of Attraction of Stable Laws
    
    Teor. Veroyatnost. i Primenen., 37:3 (1992),  459–467
24. Convergence of distributions of random sums to the normal and the Poisson law
    
    Teor. Veroyatnost. i Primenen., 36:2 (1991),  361–363
25. An Inequality for Absolute Pseudomoments
    
    Teor. Veroyatnost. i Primenen., 33:4 (1988),  773–777
26. Convergence of Moments of Random Sums
    
    Teor. Veroyatnost. i Primenen., 33:2 (1988),  360–363
27. Mixtures of Probability Distributions which are Defined Uniquely by their Behaviour on Half-Axis
    
    Teor. Veroyatnost. i Primenen., 32:4 (1987),  670–678
28. Parametric Law of the Iterated Logarithm
    
    Teor. Veroyatnost. i Primenen., 32:1 (1987),  73–81
29. Weak convergence of random broken lines to the Wiener process
    
    Teor. Veroyatnost. i Primenen., 30:2 (1985),  209–218
30. Once more on the asymptotic behaviour of infinitely divisible distributions in Banach space
    
    Teor. Veroyatnost. i Primenen., 29:4 (1984),  735–742
31. On the asymptotical behaviour of infinitely divisible distributions in a Banach space
    
    Teor. Veroyatnost. i Primenen., 27:4 (1982),  625–642
32. Central limit theorem and the law of large numbers
    
    Mat. Zametki, 30:4 (1981),  583–593
33. Central limit theorem and the law of large numbers in the mean
    
    Teor. Veroyatnost. i Primenen., 26:4 (1981),  824–827
34. A case when convergence in the mean is equivalent to convergence in the Lévy metric
    
    Mat. Zametki, 26:3 (1979),  483–491
35. The sum and the order statistics of independent random variables
    
    Teor. Veroyatnost. i Primenen., 24:4 (1979),  710–727
36. A new characterization of the Poisson distribution
    
    Mat. Zametki, 20:6 (1976),  879–882
37. Global limit theorems
    
    Teor. Veroyatnost. i Primenen., 21:1 (1976),  123–127
38. Global limit theorems
    
    Zap. Nauchn. Sem. LOMI, 61 (1976),  84–101
39. The structure of infinitely divisible distributions on a bicompact Abelian group
    
    Teor. Veroyatnost. i Primenen., 20:4 (1975),  712–724
40. A global limit theorem for sums of independent random variables
    
    Dokl. Akad. Nauk SSSR, 219:3 (1974),  542–545
41. Characterization of a class of infinitely divisible distributions in Hilbert space
    
    Mat. Zametki, 16:5 (1974),  777–782
42. On unboundedly divisible distributions in Hilbert space
    
    Mat. Zametki, 16:4 (1974),  585–594
43. The behaviour of sums of independent random variables
    
    Teor. Veroyatnost. i Primenen., 19:2 (1974),  387–391
44. Convergence of numerical characteristics of sums of independent random variables with vakues in a Hilbert space
    
    Teor. Veroyatnost. i Primenen., 18:4 (1973),  734–752
45. Integrals with respect to infinitely divisible distributions in a Hilbert space
    
    Mat. Zametki, 11:6 (1972),  669–676
46. On an extension of the class of stable distributions
    
    Teor. Veroyatnost. i Primenen., 17:4 (1972),  723–732
47. Limit theorems for sums of independent random variables with values in Hilbert space
    
    Teor. Veroyatnost. i Primenen., 17:2 (1972),  209–227
48. Convergence of distributions of sums of independent random variables with values in a Hilbert space to the normal and Poisson distributions
    
    Dokl. Akad. Nauk SSSR, 197:6 (1971),  1258–1260
49. Convergence of distributions of sums of independent Hilbert-space-valued random variables
    
    Teor. Veroyatnost. i Primenen., 16:2 (1971),  346–347
50. A note to the theory of infinite divisible laws
    
    Teor. Veroyatnost. i Primenen., 15:2 (1970),  330–336
51. A local limit theorem for unequally distributed random variables
    
    Teor. Veroyatnost. i Primenen., 13:2 (1968),  348–351


52. Yakimiv A. L. Probabilistic Applications of Tauberian Theorems
    
    Teor. Veroyatnost. i Primenen., 51:4 (2006),  822–824
53. On the 75th birthday of V. M. Zolotarev
    
    Teor. Veroyatnost. i Primenen., 51:4 (2006),  773–775
54. Book review: Bañuelos R., Moore C. N. “Probabilistic behavior of Harmonic Functions”
    
    Teor. Veroyatnost. i Primenen., 46:2 (2001),  411–413
55. Book review: Vladimir M. Zolotarev “Modern Theory of Summation of Random Variables”
    
    Teor. Veroyatnost. i Primenen., 44:2 (1999),  473–475
56. Book review: Fristedt В., Gray L. “A modern approach to probability theory”
    
    Teor. Veroyatnost. i Primenen., 42:3 (1997),  650–652
57. Letter to the editors
    
    Teor. Veroyatnost. i Primenen., 31:1 (1986),  188
58. Ian F. Blake «Аn introduction to applied probability» (book review)
    
    Teor. Veroyatnost. i Primenen., 26:2 (1981),  434–435
59. P. Billingsley «Probability and Measure» (book review)
    
    Teor. Veroyatnost. i Primenen., 26:1 (1981),  219–220
60. A. Mukherjea and К. Pothoven, «Real and functional analysis» (book review)
    
    Teor. Veroyatnost. i Primenen., 25:1 (1980),  219–220
61. Addendum: A Note on Infinitely Divisible Distributions
    
    Teor. Veroyatnost. i Primenen., 16:2 (1971),  401