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Mogul'skii, Anatolii Al'fredovich

Statistics Math-Net.Ru
Total publications: 89
Scientific articles: 85
Presentations: 1

Number of views:
This page:1360
Abstract pages:21147
Full texts:6674
References:1795
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http://www.mathnet.ru/eng/person11309
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https://mathscinet.ams.org/mathscinet/MRAuthorID/201296

Publications in Math-Net.Ru
2021
1. A. A. Mogul'skii, “Расширенный принцип больших уклонений для траекторий обобщенного процесса восстановления”, Mat. Tr., 24:1 (2021),  142–174  mathnet
2. T. Konstantopoulos, A. V. Logachov, A. A. Mogulskii, S. G. Foss, “Limit theorems for the maximal path weight in a directed graph on the line with random weights of edges”, Probl. Peredachi Inf., 57:2 (2021),  71–89  mathnet
3. A. V. Logachov, A. A. Mogulskii, “The moderate deviations principle for the trajectories of compound renewal processes on the half – line”, Sib. Èlektron. Mat. Izv., 18:2 (2021),  1189–1200  mathnet  isi
4. A. A. Borovkov, A. V. Logachov, A. A. Mogul'skii, “Chebyshev-type inequalities and large deviation principles”, Teor. Veroyatnost. i Primenen., 66:4 (2021),  718–733  mathnet
2020
5. A. A. Mogul'skii, E. I. Prokopenko, “Принцип больших уклонений для конечномерных распределений многомерных обобщенных процессов восстановления”, Mat. Tr., 23:2 (2020),  148–176  mathnet
6. F. C. Klebaner, A. V. Logachov, A. A. Mogulskii, “Extended large deviation principle for trajectories of processes with independent and stationary increments on the half-line”, Probl. Peredachi Inf., 56:1 (2020),  63–79  mathnet  elib; Problems Inform. Transmission, 56:1 (2020), 56–72  isi  scopus
7. A. V. Logachov, A. A. Mogulskii, “Local theorems for finite – dimensional increments of compound multidimensional arithmetic renewal processes with light tails”, Sib. Èlektron. Mat. Izv., 17 (2020),  1766–1786  mathnet
8. A. V. Logachov, A. A. Mogul'skii, “Экспоненциальные неравенства Чебышева для случайных графонов и их применение”, Sibirsk. Mat. Zh., 61:4 (2020),  880–900  mathnet
2019
9. A. A. Mogul'skiĭ, E. I. Prokopenko, “Local theorems for arithmetic multidimensional compound renewal processes under Cramér's condition”, Mat. Tr., 22:2 (2019),  106–133  mathnet; Siberian Adv. Math., 30:4 (2020), 284–302  scopus
10. A. A. Mogulskii, E. I. Prokopenko, “Large deviation principle for multidimensional second compound renewal processes in the phase space”, Sib. Èlektron. Mat. Izv., 16 (2019),  1478–1492  mathnet
11. A. A. Mogulskii, E. I. Prokopenko, “Large deviation principle for multidimensional first compound renewal processes in the phase space”, Sib. Èlektron. Mat. Izv., 16 (2019),  1464–1477  mathnet
12. A. A. Mogulskii, E. I. Prokopenko, “The rate function and the fundamental function for multidimensional compound renewal process”, Sib. Èlektron. Mat. Izv., 16 (2019),  1449–1463  mathnet
13. A. A. Mogulskii, “Local theorems for arithmetic compound renewal processes when Cramer's condition holds”, Sib. Èlektron. Mat. Izv., 16 (2019),  21–41  mathnet
14. F. C. Klebaner, A. A. Mogulskii, “Large deviations for processes on half-line: Random Walk and Compound Poisson Process”, Sib. Èlektron. Mat. Izv., 16 (2019),  1–20  mathnet  isi
15. A. A. Borovkov, A. A. Mogul'skii, E. I. Prokopenko, “Properties of the deviation rate function and the asymptotics for the Laplace thansform of the distribution of a compound renewal process”, Teor. Veroyatnost. i Primenen., 64:4 (2019),  625–641  mathnet  mathscinet  elib; Theory Probab. Appl., 64:4 (2020), 499–512  isi  scopus
2018
16. A. A. Mogulskii, E. I. Prokopenko, “Integro-local theorems for multidimensional compound renewal processes, when Cramer's condition holds. III”, Sib. Èlektron. Mat. Izv., 15 (2018),  528–553  mathnet
17. A. A. Mogulskii, E. I. Prokopenko, “Integro-local theorems for multidimensional compound renewal processes, when Cramer's condition holds. II”, Sib. Èlektron. Mat. Izv., 15 (2018),  503–527  mathnet
18. A. A. Mogulskii, E. I. Prokopenko, “Integro-local theorems for multidimensional compound renewal processes, when Cramer's condition holds. I”, Sib. Èlektron. Mat. Izv., 15 (2018),  475–502  mathnet
19. A. A. Borovkov, A. A. Mogulskii, “Integro-local limit theorems for compound renewal processes under Cramér's condition. II”, Sibirsk. Mat. Zh., 59:4 (2018),  736–758  mathnet  elib; Siberian Math. J., 59:4 (2018), 578–597  isi  scopus
20. A. A. Borovkov, A. A. Mogulskii, “Integro-local limit theorems for compound renewal processes under Cramér's condition. I”, Sibirsk. Mat. Zh., 59:3 (2018),  491–513  mathnet  elib; Siberian Math. J., 59:3 (2018), 383–402  isi  scopus
2017
21. A. A. Mogul'skiĭ, “On a property of the Legendre transform”, Mat. Tr., 20:1 (2017),  145–157  mathnet  elib; Siberian Adv. Math., 28:1 (2018), 65–73  scopus
22. A. A. Mogul'skiĭ, “The extended large deviation principle for a process with independent increments”, Sibirsk. Mat. Zh., 58:3 (2017),  660–672  mathnet  elib; Siberian Math. J., 58:3 (2017), 515–524  isi  elib  scopus
2016
23. A. A. Mogul'skiĭ, “The large deviation principle for a compound Poisson process”, Mat. Tr., 19:2 (2016),  119–157  mathnet  elib; Siberian Adv. Math., 27:3 (2017), 160–186  scopus
2015
24. A. A. Borovkov, A. A. Mogul'skiĭ, “Large deviation principles for the finite-dimensional distributions of compound renewal processes”, Sibirsk. Mat. Zh., 56:1 (2015),  36–64  mathnet  mathscinet  elib; Siberian Math. J., 56:1 (2015), 28–53  isi  elib  scopus
25. A. A. Borovkov, A. A. Mogul'skii, “Large deviation principles for trajectories of compound renewal processes. II”, Teor. Veroyatnost. i Primenen., 60:3 (2015),  417–438  mathnet  mathscinet  elib; Theory Probab. Appl., 60:3 (2016), 349–366  isi  scopus
26. A. A. Borovkov, A. A. Mogul'skii, “Large deviation principles for trajectories of compound renewal processes. I”, Teor. Veroyatnost. i Primenen., 60:2 (2015),  227–247  mathnet  mathscinet  elib; Theory Probab. Appl., 60:2 (2016), 207–221  isi  scopus
2014
27. A. A. Borovkov, A. A. Mogul'skiĭ, “Large deviation principles for sums of random vectors and the corresponding renewal functions in the inhomogeneous case”, Mat. Tr., 17:2 (2014),  84–101  mathnet  mathscinet; Siberian Adv. Math., 25:4 (2015), 255–267
2013
28. A. A. Borovkov, A. A. Mogul'skiĭ, “Conditional moderately large deviation principles for the trajectories of random walks and processes with independent increments”, Mat. Tr., 16:2 (2013),  45–68  mathnet  mathscinet; Siberian Adv. Math., 25:1 (2015), 39–55
29. A. A. Mogul'skiĭ, “On the upper bound in the large deviation principle for sums of random vectors”, Mat. Tr., 16:1 (2013),  121–140  mathnet  mathscinet  elib; Siberian Adv. Math., 24:2 (2014), 140–152
30. A. A. Borovkov, A. A. Mogul'skiĭ, “Inequalities and principles of large deviations for the trajectories of processes with independent increments”, Sibirsk. Mat. Zh., 54:2 (2013),  286–297  mathnet  mathscinet; Siberian Math. J., 54:2 (2013), 217–226  isi  scopus
31. A. A. Borovkov, A. A. Mogul'skii, “Moderately large deviation principles for trajectories of random walks and processes with independent increments”, Teor. Veroyatnost. i Primenen., 58:4 (2013),  648–671  mathnet  mathscinet  elib; Theory Probab. Appl., 58:4 (2014), 562–581  isi  elib
32. A. A. Borovkov, A. A. Mogulskii, “Large deviation principles for random walk trajectories. III”, Teor. Veroyatnost. i Primenen., 58:1 (2013),  37–52  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 58:1 (2014), 25–37  isi  elib  scopus
2012
33. A. A. Mogul'skiĭ, “The expansion theorem for the deviation integral”, Mat. Tr., 15:2 (2012),  127–145  mathnet  mathscinet  elib; Siberian Adv. Math., 23:4 (2013), 250–262
34. A. A. Borovkov, A. A. Mogul'skii, “On large deviation principles for random walk trajectories. II”, Teor. Veroyatnost. i Primenen., 57:1 (2012),  3–34  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 57:1 (2013), 1–27  isi  elib  scopus
2011
35. A. A. Borovkov, A. A. Mogul'skiĭ, “Properties of a functional of trajectories which arises in studying the probabilities of large deviations of random walks”, Sibirsk. Mat. Zh., 52:4 (2011),  777–795  mathnet  mathscinet; Siberian Math. J., 52:4 (2011), 612–627  isi  scopus
36. A. A. Borovkov, A. A. Mogul'skii, “On large deviation principles for random walk trajectories. I”, Teor. Veroyatnost. i Primenen., 56:4 (2011),  627–655  mathnet  mathscinet  elib; Theory Probab. Appl., 56:4 (2011), 538–561  isi  elib  scopus
37. A. A. Borovkov, A. A. Mogul'skii, “Chebyshev type exponential inequalities for sums of random vectors and random walk trajectories”, Teor. Veroyatnost. i Primenen., 56:1 (2011),  3–29  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 56:1 (2012), 21–43  isi  elib  scopus
2010
38. A. A. Borovkov, A. A. Mogul'skiĭ, “On large deviation principles in metric spaces”, Sibirsk. Mat. Zh., 51:6 (2010),  1251–1269  mathnet  mathscinet  elib; Siberian Math. J., 51:6 (2010), 989–1003  isi  scopus
2009
39. A. A. Mogul'skii, “Local limit theorem for the first crossing time of a fixed level by a random walk”, Mat. Tr., 12:2 (2009),  126–138  mathnet  mathscinet  elib; Siberian Adv. Math., 20:3 (2010), 191–200  elib
40. A. A. Mogul'skii, “Integral and integro-local theorems for the sums of random variables with semiexponential distribution”, Sib. Èlektron. Mat. Izv., 6 (2009),  251–271  mathnet  mathscinet  elib
2008
41. A. A. Mogulskiĭ, Ch. Pagma, “Superlarge deviations for sums of random variables with arithmetical super-exponential distributions”, Mat. Tr., 11:1 (2008),  81–112  mathnet  mathscinet; Siberian Adv. Math., 18:3 (2008), 185–208
42. A. A. Mogul'skii, “An integro-local theorem applicable on the whole half-axis to the sums of random variables with regularly varying distributions”, Sibirsk. Mat. Zh., 49:4 (2008),  837–854  mathnet  mathscinet  zmath  elib; Siberian Math. J., 49:4 (2008), 669–683  isi  elib  scopus
43. A. A. Borovkov, A. A. Mogul'skii, “On Large Deviations of Sums of Independent Random Vectors on the Boundary and Outside of the Cramér Zone. II”, Teor. Veroyatnost. i Primenen., 53:4 (2008),  641–664  mathnet  mathscinet  zmath; Theory Probab. Appl., 53:4 (2009), 573–593  isi  scopus
44. A. A. Borovkov, A. A. Mogul'skii, “On Large Deviations of Sums of Independent Random Vectors on the Boundary and Outside of the Cramér Zone. I”, Teor. Veroyatnost. i Primenen., 53:2 (2008),  336–344  mathnet  zmath; Theory Probab. Appl., 53:2 (2009), 301–311  isi  scopus
2007
45. N. S. Arkashov, I. S. Borisov, A. A. Mogul'skii, “Large deviation principle for partial sum processes of moving averages”, Teor. Veroyatnost. i Primenen., 52:2 (2007),  209–239  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 52:2 (2008), 181–208  isi  scopus
2006
46. A. A. Borovkov, A. A. Mogul'skii, “Integro-local theorems for sums of independent random vectors in the series scheme”, Mat. Zametki, 79:4 (2006),  505–521  mathnet  mathscinet  zmath  elib; Math. Notes, 79:4 (2006), 468–482  isi  scopus
47. A. A. Mogul'skii, “Large deviations of the first passage time for a random walk with semiexponentially distributed jumps”, Sibirsk. Mat. Zh., 47:6 (2006),  1323–1341  mathnet  mathscinet  zmath; Siberian Math. J., 47:6 (2006), 1084–1101  isi  scopus
48. A. A. Borovkov, A. A. Mogul'skii, “Integro-local and integral theorems for sums of random variables with semiexponential distributions”, Sibirsk. Mat. Zh., 47:6 (2006),  1218–1257  mathnet  mathscinet  zmath  elib; Siberian Math. J., 47:6 (2006), 990–1026  isi  elib  scopus
49. A. A. Borovkov, A. A. Mogul'skii, “On large and superlarge deviations of sums of independent random vectors under Cramér's condition. II”, Teor. Veroyatnost. i Primenen., 51:4 (2006),  641–673  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 51:4 (2007), 567–594  isi  elib  scopus
50. A. A. Borovkov, A. A. Mogul'skii, “On large and superlarge deviations for sums of independent random vectors under the Cramer condition. I”, Teor. Veroyatnost. i Primenen., 51:2 (2006),  260–294  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 51:2 (2007), 227–255  isi  scopus
2005
51. A. A. Mogul'skii, B. A. Rogozin, “A Local Theorem for the First Hitting Time of a Fixed Level by a Random Walk”, Mat. Tr., 8:1 (2005),  43–70  mathnet  mathscinet  zmath; Siberian Adv. Math., 15:3 (2005), 1–27
2002
52. F. Avram, A. A. Mogul'skii, “Large Deviations of the Waiting Time for Tandem Queueing Systems”, Mat. Tr., 5:2 (2002),  3–37  mathnet  mathscinet  zmath  elib; Siberian Adv. Math., 13:2 (2003), 1–34
2001
53. A. A. Mogul'skii, B. A. Rogozin, “Random Walks in the Positive Quadrant. III. Constants in an integral and a local theorem”, Mat. Tr., 4:1 (2001),  68–93  mathnet  mathscinet  zmath; Siberian Adv. Math., 11:2 (2001), 35–59
54. A. A. Borovkov, A. A. Mogul'skii, “Large deviations for Markov chains in the positive quadrant”, Uspekhi Mat. Nauk, 56:5(341) (2001),  3–116  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 56:5 (2001), 803–916  isi  scopus
55. A. A. Borovkov, A. A. Mogul'skii, “Limit theorems in the boundary hitting problem for a multidimensional random walk”, Sibirsk. Mat. Zh., 42:2 (2001),  289–317  mathnet  mathscinet  zmath; Siberian Math. J., 42:2 (2001), 245–270  isi
2000
56. A. A. Mogul'skii, B. A. Rogozin, “Random Walks in the Positive Quadrant. II. Integral Theorem”, Mat. Tr., 3:1 (2000),  48–118  mathnet  mathscinet  zmath; Siberian Adv. Math., 10:2 (2000), 35–103
57. A. A. Borovkov, A. A. Mogul'skii, “Integro-local limit theorems including large deviations for sums of random vectors. II”, Teor. Veroyatnost. i Primenen., 45:1 (2000),  5–29  mathnet  mathscinet  zmath; Theory Probab. Appl., 45:1 (2001), 3–22  isi
1999
58. A. A. Mogul'skii, B. A. Rogozin, “Random Walks in the Positive Quadrant. I. Local Theorems”, Mat. Tr., 2:2 (1999),  57–97  mathnet  mathscinet  zmath; Siberian Adv. Math., 10:1 (2000), 34–72
1998
59. A. A. Borovkov, A. A. Mogul'skii, “Itegro-local limit theorems including large deviations for sumsof random vectors”, Teor. Veroyatnost. i Primenen., 43:1 (1998),  3–17  mathnet  mathscinet  zmath; Theory Probab. Appl., 43:1 (1999), 1–12  isi
1996
60. A. A. Mogul'skii, “A probability inequality for obtaining lower bounds in the large deviation principle”, Sibirsk. Mat. Zh., 37:4 (1996),  889–894  mathnet  mathscinet  zmath; Siberian Math. J., 37:4 (1996), 782–787  isi
61. A. A. Borovkov, A. A. Mogul'skii, “The second rate function and the asymptotic problems of renewal and hitting the boundary for multidimensional random walks”, Sibirsk. Mat. Zh., 37:4 (1996),  745–782  mathnet  mathscinet  zmath; Siberian Math. J., 37:4 (1996), 647–682  isi
1995
62. A. A. Borovkov, A. A. Mogul'skii, A. I. Sakhanenko, “Limit theorems for random processes”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 82 (1995),  5–194  mathnet  mathscinet  zmath
1993
63. D. Byambazhav, A. A. Mogul'skii, “Large deviations for the minimum point for a Gaussian random field”, Trudy Inst. Mat. SO RAN, 20 (1993),  104–115  mathnet  mathscinet  zmath
1992
64. A. A. Borovkov, A. A. Mogul'skii, “Large deviations and the testing of statistical hypotheses”, Trudy Inst. Mat. SO RAN, 19 (1992),  2–220  mathnet  mathscinet  zmath
65. D. Byambazhav, A. A. Mogul'skii, “A Limit Theorem for the Minimum and Minimum Point of a “Distorted” Function”, Teor. Veroyatnost. i Primenen., 37:3 (1992),  548–554  mathnet  mathscinet  zmath; Theory Probab. Appl., 37:3 (1993), 514–520
66. A. A. Borovkov, A. A. Mogul'skii, “Large Deviations and Statistical Invariance Principle”, Teor. Veroyatnost. i Primenen., 37:1 (1992),  11–18  mathnet  mathscinet  zmath; Theory Probab. Appl., 37:1 (1993), 7–13
1991
67. A. A. Mogul'skii, “de Finetti-type results for $l_p$”, Sibirsk. Mat. Zh., 32:4 (1991),  88–95  mathnet  mathscinet  zmath; Siberian Math. J., 32:4 (1991), 609–616  isi
1989
68. A. A. Borovkov, A. A. Mogul'skii, “On probabilities of small deviations for random processes”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 13 (1989),  147–168  mathnet  mathscinet  zmath
1985
69. A. A. Mogul'skii, “Small deviations and the law of the iterated logarithm in the Jain form for multidimensional random walks”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 5 (1985),  45–56  mathnet  mathscinet  zmath
1984
70. A. A. Mogul'skii, “Large deviation probabilities for trajectories of random walks”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 3 (1984),  93–124  mathnet  mathscinet  zmath
1982
71. A. A. Mogul'skii, “Moderately large deviations from an invariant measure”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 1 (1982),  90–97  mathnet  mathscinet  zmath
72. A. A. Mogul'skii, “Large deviations for the Wiener process”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 1 (1982),  25–50  mathnet  mathscinet  zmath
73. A. A. Mogul'skii, “The Fourier method for finding the asymptotic behavior of small deviations of a Wiener process”, Sibirsk. Mat. Zh., 23:3 (1982),  161–174  mathnet  mathscinet  zmath; Siberian Math. J., 23:3 (1982), 420–431  isi
1980
74. A. A. Borovkov, A. A. Mogul'skii, “Probabilities of large deviations in topological spaces. II”, Sibirsk. Mat. Zh., 21:5 (1980),  12–26  mathnet  mathscinet  zmath; Siberian Math. J., 21:5 (1980), 653–664  isi
1979
75. A. A. Mogul'skiĭ, “On the law of iterated logarithm in Chung's form for functional spaces”, Teor. Veroyatnost. i Primenen., 24:2 (1979),  399–407  mathnet  mathscinet  zmath; Theory Probab. Appl., 24:2 (1979), 405–413  isi
1978
76. A. A. Borovkov, A. A. Mogul'skii, “Probabilities of large deviations in topological spaces. I”, Sibirsk. Mat. Zh., 19:5 (1978),  988–1004  mathnet  mathscinet  zmath; Siberian Math. J., 19:5 (1978), 697–709  isi
77. A. A. Mogul'skii, E. A. Pechersky, “On the time of the first hit in a domain with a curved boundary”, Sibirsk. Mat. Zh., 19:4 (1978),  824–841  mathnet  mathscinet  zmath; Siberian Math. J., 19:4 (1978), 582–595  isi
1977
78. A. A. Mogul'skiĭ, E. A. Pečerskiĭ, “On the first exit time out of a semigroup in $R^m$ for a random walk”, Teor. Veroyatnost. i Primenen., 22:4 (1977),  837–844  mathnet  mathscinet  zmath; Theory Probab. Appl., 22:4 (1978), 818–825
79. A. A. Mogul'skiĭ, “Remarks on large deviations for the $\omega^2$-statistics”, Teor. Veroyatnost. i Primenen., 22:1 (1977),  170–175  mathnet  mathscinet  zmath; Theory Probab. Appl., 22:1 (1977), 166–171
1976
80. A. A. Mogul'skiĭ, “On the distribution of the first jump for a process with independent increments”, Teor. Veroyatnost. i Primenen., 21:3 (1976),  486–496  mathnet  mathscinet  zmath; Theory Probab. Appl., 21:3 (1977), 470–481
81. A. A. Mogul'skiĭ, “Large deviations for trajectories of multidimensional random walks”, Teor. Veroyatnost. i Primenen., 21:2 (1976),  309–323  mathnet  mathscinet  zmath; Theory Probab. Appl., 21:2 (1977), 300–315
1975
82. A. A. Mogul'skii, “Large deviations in the space of trajectories for sequences and processes with stationary increments”, Sibirsk. Mat. Zh., 16:2 (1975),  314–327  mathnet  mathscinet  zmath; Siberian Math. J., 16:2 (1975), 242–252  isi
1974
83. A. A. Mogul'skii, “Large deviations in the space $C(0,1)$ for sums that are defined on a finite Markov chain”, Sibirsk. Mat. Zh., 15:1 (1974),  61–75  mathnet  mathscinet  zmath; Siberian Math. J., 15:1 (1974), 43–53
84. A. A. Mogul'skii, “Small deviations in the sample function space”, Teor. Veroyatnost. i Primenen., 19:4 (1974),  755–765  mathnet  mathscinet  zmath; Theory Probab. Appl., 19:1 (1975), 726–736
1973
85. A. A. Mogul'skii, “Absolute Estimates for Moments of Certain Boundary Functionals”, Teor. Veroyatnost. i Primenen., 18:2 (1973),  350–357  mathnet  mathscinet  zmath; Theory Probab. Appl., 18:2 (1973), 340–347

2006
86. 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
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Presentations in Math-Net.Ru
1. Chebyshev-type inequalities and large deviation principles
Alexander Borovkov, Anatoly Mogulskii, Artem Logachev
International Conference "Theory of Probability and Its Applications: P. L. Chebyshev – 200" (The 6th International Conference on Stochastic Methods)
May 17, 2021 12:40   

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