RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 
Borovkov, Aleksandr Alekseevich

Statistics Math-Net.Ru
Total publications: 153
Scientific articles: 133

Number of views:
This page:7022
Abstract pages:40975
Full texts:12933
References:2635
Member of the Russian Academy of Sciences
Professor
Doctor of physico-mathematical sciences (1963)
Speciality: 01.01.05 (Probability theory and mathematical statistics)
Birth date: 06.03.1931
E-mail:
Keywords: stochastic processes, limit theorems, boundary crossing problems, large deviations, ergodicity, asymptotically optimal procedures in mathematical statistics, queueing theory.
   
Main publications:
  • Borovkov A. A. Probability Theory. New York: Gordon & Breach, 1998. 474 p.
  • Borovkov A. A. Mathematical Statistics. New York: Gordon & Breach, 1998. 570 p.
  • Borovkov A. A. Ergodicity and stability of stochastic processes. New York: Wiley, 1998. 585 p.
  • Borovkov A. A., Mogulskii A. A. Large deviations and testing statistical hypothesis. Siber. Adv. Math. 1992. V. 2; 1993. V. 3.
  • Borovkov A. A. Stochastic processes in queueing theory. Springer, 1976. 280 p.

http://www.mathnet.ru/eng/person11308
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/193102

Publications in Math-Net.Ru
2019
1. A. A. Borovkov, “On Large Deviation Principles for Compound Renewal Processes”, Mat. Zametki, 106:6 (2019),  811–820  mathnet; Math. Notes, 106:6 (2019), 864–871  isi  scopus
2. A. A. Borovkov, “Интегро-локальные теоремы в граничных задачах для обобщенных процессов восстановления”, Sibirsk. Mat. Zh., 60:6 (2019),  1229–1246  mathnet
3. A. A. Borovkov, “Functional limit theorems for compound renewal processes”, Sibirsk. Mat. Zh., 60:1 (2019),  37–54  mathnet  elib; Siberian Math. J., 60:1 (2019), 27–40  isi  scopus
4. 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; Theory Probab. Appl., 64:4 (2019), 499–512  scopus
5. A. A. Borovkov, “Moderately large deviation principles for trajectories of compound renewal processes”, Teor. Veroyatnost. i Primenen., 64:2 (2019),  399–411  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 64:2 (2019), 324–333  isi  scopus
2018
6. 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
7. 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
8. A. A. Borovkov, “On estimation of parameters in the case of discontinuous densities”, Teor. Veroyatnost. i Primenen., 63:2 (2018),  211–239  mathnet  elib; Theory Probab. Appl., 63:2 (2018), 169–192  isi  scopus
2017
9. A. A. Borovkov, “Integro-local limit theorems for compound renewal processes”, Teor. Veroyatnost. i Primenen., 62:2 (2017),  217–240  mathnet  mathscinet  elib; Theory Probab. Appl., 62:2 (2018), 175–195  isi  scopus
2016
10. A. A. Borovkov, “Stability theorems and the second-order asymptotics in threshold phenomena for boundary functionals of random walks”, Mat. Tr., 19:1 (2016),  46–69  mathnet  mathscinet  elib; Siberian Adv. Math., 26:4 (2016), 231–246  scopus
11. A. A. Borovkov, “Large deviation principles in boundary problems for compound renewal processes”, Sibirsk. Mat. Zh., 57:3 (2016),  562–595  mathnet  mathscinet  elib; Siberian Math. J., 57:3 (2016), 442–469  isi  elib  scopus
12. A. A. Borovkov, “Generalization and refinement of the integro-local Stone theorem for sums of random vectors”, Teor. Veroyatnost. i Primenen., 61:4 (2016),  659–685  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 61:4 (2017), 590–612  isi  scopus
13. A. A. Borovkov, “On the distribution of the first passage time of an arbitrary remote boundary by random walk”, Teor. Veroyatnost. i Primenen., 61:2 (2016),  210–233  mathnet  mathscinet  elib; Theory Probab. Appl., 61:2 (2017), 235–254  isi  scopus
2015
14. A. A. Borovkov, “Integral theorems for the first passage time of an arbitrary boundary by a compound renewal process”, Sibirsk. Mat. Zh., 56:5 (2015),  961–981  mathnet  mathscinet  elib; Siberian Math. J., 56:5 (2015), 765–782  isi  elib  scopus
15. 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
16. 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
17. 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
18. 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
19. A. A. Borovkov, K. A. Borovkov, “Blackwell-type theorems for weighted renewal functions”, Sibirsk. Mat. Zh., 55:4 (2014),  724–743  mathnet  mathscinet; Siberian Math. J., 55:4 (2014), 589–605  isi  scopus
20. A. A. Borovkov, “Second order approximation for distribution of maximum of random walk with negative drift and infinite variance”, Teor. Veroyatnost. i Primenen., 59:1 (2014),  5–27  mathnet  mathscinet  elib; Theory Probab. Appl., 59:1 (2015), 3–22  isi  scopus
2013
21. 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
22. 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
23. 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
24. 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
25. 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
26. 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
27. A. A. Borovkov, “Large deviation principles for random walks with regularly varying distributions of jumps”, Sibirsk. Mat. Zh., 52:3 (2011),  512–521  mathnet  mathscinet; Siberian Math. J., 52:3 (2011), 402–410  isi  scopus
28. 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
29. 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
30. 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
31. A. A. Borovkov, P. S. Ruzankin, “Transient phenomena for random walks in the absence of the expected value of jumps”, Sibirsk. Mat. Zh., 50:5 (2009),  987–1009  mathnet  mathscinet; Siberian Math. J., 50:5 (2009), 776–797  isi  scopus
32. A. A. Borovkov, “Integro-local and local theorems for normal and large deviations of sums of nonidentically distributed random variables in the scheme of series”, Teor. Veroyatnost. i Primenen., 54:4 (2009),  625–644  mathnet  mathscinet; Theory Probab. Appl., 54:4 (2010), 571–587  isi  scopus
2008
33. A. A. Borovkov, P. S. Ruzankin, “Small deviations of series of independent positive random variables with weights close to exponential”, Mat. Tr., 11:1 (2008),  49–67  mathnet  mathscinet; Siberian Adv. Math., 18:3 (2008), 163–175
34. A. A. Borovkov, “Tauberian and Abelian theorems for rapidly decaying distributions and their applications to stable laws”, Sibirsk. Mat. Zh., 49:5 (2008),  1007–1018  mathnet  mathscinet; Siberian Math. J., 49:5 (2008), 796–805  isi  scopus
35. 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
36. A. A. Borovkov, “Large Sample Change-Point Estimation when Distributions Are Unknown”, Teor. Veroyatnost. i Primenen., 53:3 (2008),  437–457  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 53:3 (2009), 402–418  isi  elib  scopus
37. 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
2006
38. 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
39. 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
40. 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
41. 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
42. A. A. Borovkov, K. A. Borovkov, “Large Deviations Probabilities for Generalized Renewal Processes with Regularly Varying Jump Distributions”, Mat. Tr., 8:2 (2005),  69–136  mathnet  mathscinet; Siberian Adv. Math., 16:1 (2006), 1–65
43. A. A. Borovkov, “Asymptotic analysis for random walks with nonidentically distributed jumps having finite variance”, Sibirsk. Mat. Zh., 46:6 (2005),  1265–1287  mathnet  mathscinet  zmath  elib; Siberian Math. J., 46:6 (2005), 1020–1038  isi
44. A. A. Borovkov, “Large deviations for random walks with nonidentically distributed jumps having infinite variance”, Sibirsk. Mat. Zh., 46:1 (2005),  46–70  mathnet  mathscinet  zmath; Siberian Math. J., 46:1 (2005), 35–55  isi
45. A. A. Borovkov, “Transient phenomena for random walks with nonidential jumps having nonidetically infinite variances”, Teor. Veroyatnost. i Primenen., 50:2 (2005),  224–240  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 50:2 (2006), 199–213  isi
2004
46. A. A. Borovkov, “On the Asymptotic Behavior of Distributions of First-Passage Times, II”, Mat. Zametki, 75:3 (2004),  350–359  mathnet  mathscinet  zmath; Math. Notes, 75:3 (2004), 322–330  isi
47. A. A. Borovkov, “On the Asymptotic Behavior of the Distributions of First-Passage Times, I”, Mat. Zametki, 75:1 (2004),  24–39  mathnet  mathscinet  zmath; Math. Notes, 75:1 (2004), 23–37  isi
48. A. A. Borovkov, “Kolmogorov and boundary problems of probability theory”, Uspekhi Mat. Nauk, 59:1(355) (2004),  91–102  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 59:1 (2004), 91–102  isi  scopus
49. A. A. Borovkov, K. A. Borovkov, “On probabilities of large deviations for random walks. II. Regular exponentially decaying distributions”, Teor. Veroyatnost. i Primenen., 49:2 (2004),  209–230  mathnet  mathscinet  zmath; Theory Probab. Appl., 49:3 (2005), 189–206  isi
2003
50. A. A. Borovkov, “Asymptotics of crossing probability of a boundary by the trajectory of a Markov chain. Exponentially decaying tails”, Teor. Veroyatnost. i Primenen., 48:2 (2003),  254–273  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 48:2 (2004), 226–242  isi
2002
51. A. A. Borovkov, “On subexponential distributions and asymptotics of the distribution of the maximum of sequential sums”, Sibirsk. Mat. Zh., 43:6 (2002),  1235–1264  mathnet  mathscinet  zmath; Siberian Math. J., 43:6 (2002), 995–1022  isi
52. A. A. Borovkov, “Integro-local and integral limit theorems on the large deviations of sums of random vectors: regular distributions”, Sibirsk. Mat. Zh., 43:3 (2002),  508–525  mathnet  mathscinet  zmath; Siberian Math. J., 43:3 (2002), 402–407  isi
53. A. A. Borovkov, “Asymptotics of crossing probability of a boundary by the trajectory of a Markov chain. Heavy tails of jumps”, Teor. Veroyatnost. i Primenen., 47:4 (2002),  625–653  mathnet  mathscinet  zmath; Theory Probab. Appl., 47:4 (2003), 584–608  isi
2001
54. A. A. Borovkov, “Large Deviations of Sums of Random Variables of Two Types”, Mat. Tr., 4:2 (2001),  3–26  mathnet  mathscinet  zmath; Siberian Adv. Math., 11:4 (2001), 1–24
55. 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
56. 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
57. A. A. Borovkov, D. A. Korshunov, “Large-Deviation Probabilities for One-Dimensional Markov Chains. Part 3: Prestationary Distributions in the Subexponential Case”, Teor. Veroyatnost. i Primenen., 46:4 (2001),  640–657  mathnet  mathscinet  zmath; Theory Probab. Appl., 46:4 (2002), 603–618  isi
58. A. A. Borovkov, K. A. Borovkov, “On Probabilities of Large Deviations for Random Walks. I. Regularly Varying Distribution Tails”, Teor. Veroyatnost. i Primenen., 46:2 (2001),  209–232  mathnet  mathscinet  zmath; Theory Probab. Appl., 46:2 (2002), 193–213  isi
2000
59. A. A. Borovkov, “Large deviation probabilities for random walks with semiexponential distributions”, Sibirsk. Mat. Zh., 41:6 (2000),  1290–1324  mathnet  mathscinet  zmath; Siberian Math. J., 41:6 (2000), 1061–1093  isi
60. A. A. Borovkov, “Estimates for the distribution of sums and maxima of sums of random variables without the cramer condition”, Sibirsk. Mat. Zh., 41:5 (2000),  997–1038  mathnet  mathscinet  zmath; Siberian Math. J., 41:5 (2000), 811–848  isi
61. A. A. Borovkov, D. A. Korshunov, “Large-deviation probabilities for one-dimensional Markov chains. Part 2: Prestationary distributions in the exponential case”, Teor. Veroyatnost. i Primenen., 45:3 (2000),  437–468  mathnet  mathscinet  zmath; Theory Probab. Appl., 45:3 (2001), 379–405  isi
62. 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
63. A. A. Borovkov, S. G. Foss, “Estimates for overshooting an arbitrary boundary by a random walk and their applications”, Teor. Veroyatnost. i Primenen., 44:2 (1999),  249–277  mathnet  mathscinet  zmath; Theory Probab. Appl., 44:2 (2000), 231–253  isi
1998
64. A. A. Borovkov, “Asymptotically optimal solutions in the change-point problem”, Teor. Veroyatnost. i Primenen., 43:4 (1998),  625–654  mathnet  mathscinet  zmath; Theory Probab. Appl., 43:4 (1999), 539–561  isi
65. 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
66. 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
67. A. A. Borovkov, “On the limit conditional distributions connected with large deviations”, Sibirsk. Mat. Zh., 37:4 (1996),  732–744  mathnet  mathscinet  zmath; Siberian Math. J., 37:4 (1996), 635–646  isi
68. A. A. Borovkov, D. A. Korshunov, “Large-deviation probabilities for one-dimensional Markov chains. Part 1: Stationary distributions”, Teor. Veroyatnost. i Primenen., 41:1 (1996),  3–30  mathnet  mathscinet  zmath; Theory Probab. Appl., 41:1 (1997), 1–24  isi
1995
69. 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
70. A. A. Borovkov, “On the Cramér transform, large deviations in boundary value problems, and the conditional invariance principle”, Sibirsk. Mat. Zh., 36:3 (1995),  493–509  mathnet  mathscinet  zmath; Siberian Math. J., 36:3 (1995), 417–434  isi
71. A. A. Borovkov, “Unimprovable exponential bounds for distributions of sums of a random number of random variables”, Teor. Veroyatnost. i Primenen., 40:2 (1995),  260–269  mathnet  mathscinet  zmath; Theory Probab. Appl., 40:2 (1995), 230–237  isi
1993
72. A. A. Borovkov, S. A. Utev, “Estimates for distributions of sums stopped at Markov time”, Teor. Veroyatnost. i Primenen., 38:2 (1993),  259–272  mathnet  mathscinet  zmath; Theory Probab. Appl., 38:2 (1993), 214–225  isi
1992
73. A. A. Borovkov, “On the ergodicity of iterations of random Lipschitz transformations”, Dokl. Akad. Nauk, 324:2 (1992),  249–253  mathnet  mathscinet  zmath; Dokl. Math., 45:3 (1992), 551–555
74. 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
75. A. A. Borovkov, “Lyapunov functions and the ergodicity of multidimensional Markov chains”, Teor. Veroyatnost. i Primenen., 36:1 (1991),  93–110  mathnet  mathscinet  zmath; Theory Probab. Appl., 35:1 (1991), 1–18
1990
76. A. A. Borovkov, “Ergodicity and stability of multidimensional Markov chains”, Teor. Veroyatnost. i Primenen., 35:3 (1990),  543–547  mathnet  mathscinet  zmath; Theory Probab. Appl., 35:3 (1990), 542–546  isi
1989
77. A. A. Borovkov, “Asymptotic Stabilization in the Decentralized ALOHA Algorithm. Diffusion Approximation”, Probl. Peredachi Inf., 25:1 (1989),  55–64  mathnet  mathscinet  zmath; Problems Inform. Transmission, 25:1 (1989), 42–49
1988
78. A. A. Borovkov, “On Ergodisity and Stability Properties of the Sequence $w_{n+1}=f(w_n,\xi_n)$. Applications to Communication Networks”, Teor. Veroyatnost. i Primenen., 33:4 (1988),  641–658  mathnet  mathscinet  zmath; Theory Probab. Appl., 33:4 (1988), 595–611  isi
1987
79. A. A. Borovkov, “Asymptotic analysis of communication networks”, Dokl. Akad. Nauk SSSR, 296:5 (1987),  1033–1038  mathnet  mathscinet  zmath; Dokl. Math., 36:2 (1988), 335–339
80. A. A. Borovkov, “Limit Theorems for Queueing Networks. II”, Teor. Veroyatnost. i Primenen., 32:2 (1987),  282–298  mathnet  mathscinet  zmath; Theory Probab. Appl., 32:2 (1987), 257–272  isi
1986
81. A. A. Borovkov, “Limit theorems for queueing networks. I”, Teor. Veroyatnost. i Primenen., 31:3 (1986),  474–490  mathnet  mathscinet  zmath; Theory Probab. Appl., 31:3 (1987), 413–427  isi
82. I. S. Borisov, A. A. Borovkov, “The second order approximation of random polygons in the Donsker–Prohorov invariance principle”, Teor. Veroyatnost. i Primenen., 31:2 (1986),  225–245  mathnet  mathscinet  zmath; Theory Probab. Appl., 31:2 (1987), 179–202  isi
1983
83. A. A. Borovkov, “Boundary-value problems, the invariance principle, and large deviations”, Uspekhi Mat. Nauk, 38:4(232) (1983),  227–254  mathnet  mathscinet  zmath; Russian Math. Surveys, 38:4 (1983), 259–290  isi
84. A. A. Borovkov, S. A. Utev, “On an inequality and on the related characterization of the normal distribution”, Teor. Veroyatnost. i Primenen., 28:2 (1983),  209–218  mathnet  mathscinet  zmath; Theory Probab. Appl., 28:2 (1984), 219–228  isi
1980
85. A. A. Borovkov, A. I. Sahanenko, “On the estimates of the rate of convergence in the invariance principle for Banach spaces”, Teor. Veroyatnost. i Primenen., 25:4 (1980),  734–744  mathnet  mathscinet  zmath; Theory Probab. Appl., 25:4 (1981), 721–731  isi
86. I. S. Borisov, A. A. Borovkov, “Asymptotic behaviour of the number of nonoccupied channels for systems with refusals”, Teor. Veroyatnost. i Primenen., 25:3 (1980),  449–463  mathnet  mathscinet  zmath; Theory Probab. Appl., 25:3 (1981), 439–453  isi
1978
87. A. A. Borovkov, “Ergodic and stability theorems for random walks in the strip and their applications”, Teor. Veroyatnost. i Primenen., 23:4 (1978),  705–714  mathnet  mathscinet  zmath; Theory Probab. Appl., 23:4 (1979), 677–685  isi
88. A. A. Borovkov, “Ergodic and stability theorems for a class of stochastic equations and their applications”, Teor. Veroyatnost. i Primenen., 23:2 (1978),  241–262  mathnet  mathscinet  zmath; Theory Probab. Appl., 23:2 (1979), 227–247
1977
89. A. A. Borovkov, “Some estimates of the convergence rate in stability theorems”, Teor. Veroyatnost. i Primenen., 22:4 (1977),  689–699  mathnet  mathscinet  zmath; Theory Probab. Appl., 22:4 (1978), 668–678
90. A. A. Borovkov, “On the power of the chi-square test with increasing number of class-intervals”, Teor. Veroyatnost. i Primenen., 22:2 (1977),  375–379  mathnet  mathscinet  zmath; Theory Probab. Appl., 22:2 (1978), 366–370
1976
91. A. A. Borovkov, “Convergence of measures and random processes”, Uspekhi Mat. Nauk, 31:2(188) (1976),  3–68  mathnet  mathscinet  zmath; Russian Math. Surveys, 31:2 (1976), 1–69
1975
92. A. A. Borovkov, “On a walk in a strip with inhibitory boundaries”, Mat. Zametki, 17:4 (1975),  649–657  mathnet  mathscinet  zmath; Math. Notes, 17:4 (1975), 385–389
93. A. A. Borovkov, “Asymptotically optimal tests in mathematical statistics”, Teor. Veroyatnost. i Primenen., 20:3 (1975),  463–487  mathnet  mathscinet  zmath; Theory Probab. Appl., 20:3 (1976), 447–469
1973
94. A. A. Borovkov, E. A. Pechersky, “Criteria for weak convergence of nonnegative measures, and $\sigma$-topological spaces”, Dokl. Akad. Nauk SSSR, 208:1 (1973),  18–20  mathnet  mathscinet  zmath
95. A. A. Borovkov, A. I. Sakhanenko, “Remarks on convergence of random processes in non-separable metric spaces and on the non-existence of a Borel measure for processes in $C(0,\infty)$”, Teor. Veroyatnost. i Primenen., 18:4 (1973),  812–815  mathnet  mathscinet  zmath; Theory Probab. Appl., 18:4 (1974), 774–777
96. A. A. Borovkov, “Conditions for convergence ot degenerate processes”, Teor. Veroyatnost. i Primenen., 18:3 (1973),  449–456  mathnet  mathscinet  zmath; Theory Probab. Appl., 18:3 (1974), 423–430
97. A. A. Borovkov, “On the Rate of Convergence for the Invariance Principle”, Teor. Veroyatnost. i Primenen., 18:2 (1973),  217–234  mathnet  mathscinet  zmath; Theory Probab. Appl., 18:2 (1972), 207–225
1972
98. A. A. Borovkov, “On estimates in the principle of invariance”, Dokl. Akad. Nauk SSSR, 206:5 (1972),  1037–1039  mathnet  mathscinet  zmath
99. A. A. Borovkov, “The convergence of tributions of functionals on stochastic processes”, Uspekhi Mat. Nauk, 27:1(163) (1972),  3–41  mathnet  mathscinet  zmath; Russian Math. Surveys, 27:1 (1972), 1–42
100. A. A. Borovkov, “Convergence of the distributions of functionals of random sequences and processes that are given on the entire axis”, Trudy Mat. Inst. Steklov., 128 (1972),  41–65  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 128 (1972), 43–72
101. A. A. Borovkov, “Notes on inequalities for sums of independent variables”, Teor. Veroyatnost. i Primenen., 17:3 (1972),  588–590  mathnet  mathscinet  zmath; Theory Probab. Appl., 17:3 (1973), 556–557
102. A. A. Borovkov, “Continuity theorems for multichannel systems with refusals”, Teor. Veroyatnost. i Primenen., 17:3 (1972),  458–467  mathnet  mathscinet  zmath; Theory Probab. Appl., 17:3 (1973), 434–444
103. A. A. Borovkov, “Some Properties of the Supremum of Sums of Stationary Related Random Variables”, Teor. Veroyatnost. i Primenen., 17:1 (1972),  147–150  mathnet  mathscinet  zmath; Theory Probab. Appl., 17:1 (1972), 149–151
1971
104. A. A. Borovkov, “On the problem of pattern recognition”, Teor. Veroyatnost. i Primenen., 16:1 (1971),  132–136  mathnet  mathscinet  zmath; Theory Probab. Appl., 16:1 (1971), 141–144
1970
105. A. A. Borovkov, “Ergodic theorems for multichannel queueing systems”, Dokl. Akad. Nauk SSSR, 194:4 (1970),  743–746  mathnet  mathscinet  zmath
106. A. A. Borovkov, “On factorization identities and properties of the distribution of the sequential sums supremum”, Teor. Veroyatnost. i Primenen., 15:3 (1970),  377–418  mathnet  mathscinet  zmath; Theory Probab. Appl., 15:2 (1970), 359–402
1969
107. A. A. Borovkov, “Three types of conditions for convergence to diffusion processes”, Dokl. Akad. Nauk SSSR, 187:5 (1969),  974–977  mathnet  mathscinet  zmath
1968
108. A. A. Borovkov, N. M. Sycheva, “On some asymptotically optimal non-parametric criteria”, Teor. Veroyatnost. i Primenen., 13:3 (1968),  385–417  mathnet  mathscinet  zmath; Theory Probab. Appl., 13:3 (1968), 359–393
109. A. A. Borovkov, “On service processes in multi-channel systems”, Teor. Veroyatnost. i Primenen., 13:1 (1968),  180–183  mathnet  mathscinet  zmath; Theory Probab. Appl., 13:1 (1968), 179–181
110. A. A. Borovkov, “Some inequalities for sums of multidimensional random variables”, Teor. Veroyatnost. i Primenen., 13:1 (1968),  155–159  mathnet  mathscinet  zmath; Theory Probab. Appl., 13:1 (1968), 156–160
1967
111. A. A. Borovkov, “Boundary problems for random walks and large deviations in functional spaces”, Teor. Veroyatnost. i Primenen., 12:4 (1967),  635–654  mathnet  mathscinet  zmath; Theory Probab. Appl., 12:4 (1967), 575–595
112. A. A. Borovkov, “О сходимости к диффузионным процессам”, Teor. Veroyatnost. i Primenen., 12:3 (1967),  458–482  mathnet  mathscinet  zmath; Theory Probab. Appl., 12:3 (1967), 405–431
113. A. A. Borovkov, “On Convergence of Weakly Dependent Processes to the Wiener Process”, Teor. Veroyatnost. i Primenen., 12:2 (1967),  193–221  mathnet  mathscinet  zmath; Theory Probab. Appl., 12:2 (1967), 159–186
1966
114. A. A. Borovkov, “Certain limit theorems for distribution of functionals of processes asymptotically close to Markov processes”, Dokl. Akad. Nauk SSSR, 169:3 (1966),  507–510  mathnet  mathscinet  zmath
115. A. A. Borovkov, “Asymptotic analysis of some service systems”, Teor. Veroyatnost. i Primenen., 11:4 (1966),  675–682  mathnet  mathscinet  zmath; Theory Probab. Appl., 11:4 (1966), 596–602
1965
116. A. A. Borovkov, “Some limit theorems of the queueing theory. II. (Many channels systems)”, Teor. Veroyatnost. i Primenen., 10:3 (1965),  409–436  mathnet  mathscinet  zmath; Theory Probab. Appl., 10:3 (1965), 375–400
117. A. A. Borovkov, “О времени первого прохождения для одного класса процессов с независимыми приращениями”, Teor. Veroyatnost. i Primenen., 10:2 (1965),  360–364  mathnet  mathscinet  zmath; Theory Probab. Appl., 10:2 (1965), 331–334
118. A. A. Borovkov, V. S. Korolyuk, “On the results of the asymptotic analysis in problems with boundaries”, Teor. Veroyatnost. i Primenen., 10:2 (1965),  255–266  mathnet  mathscinet  zmath; Theory Probab. Appl., 10:2 (1965), 236–246
119. A. A. Borovkov, B. A. Rogozin, “On the Multidimentional Central Limit Theorem”, Teor. Veroyatnost. i Primenen., 10:1 (1965),  61–69  mathnet  mathscinet  zmath; Theory Probab. Appl., 10:1 (1965), 55–62
1964
120. A. A. Borovkov, “Limit Theorems in the Theory of Queues. I”, Teor. Veroyatnost. i Primenen., 9:4 (1964),  608–625  mathnet  mathscinet; Theory Probab. Appl., 9:4 (1964), 550–565
121. A. A. Borovkov, B. A. Rogozin, “Boundary Problems in Some Two-Dimensional Random Walks”, Teor. Veroyatnost. i Primenen., 9:3 (1964),  401–430  mathnet  mathscinet  zmath; Theory Probab. Appl., 9:3 (1964), 361–388
122. A. A. Borovkov, “Remarks on Wiener's and Blackwell's Theorems”, Teor. Veroyatnost. i Primenen., 9:2 (1964),  331–343  mathnet  mathscinet  zmath; Theory Probab. Appl., 9:2 (1964), 303–312
1963
123. A. A. Borovkov, “Some results of the analysis of large deviations in boundary-value problems”, Dokl. Akad. Nauk SSSR, 151:2 (1963),  247–250  mathnet  mathscinet  zmath
124. A. A. Borovkov, B. A. Rogozin, “Asymptotic representations in certain problems for random walks”, Dokl. Akad. Nauk SSSR, 151:1 (1963),  11–14  mathnet  mathscinet  zmath
125. A. A. Borovkov, “On Discrete Quening Systems”, Teor. Veroyatnost. i Primenen., 8:3 (1963),  251–263  mathnet; Theory Probab. Appl., 8:3 (1963), 232–246
1962
126. A. A. Borovkov, “A probabilistic formulation of two economic problems”, Dokl. Akad. Nauk SSSR, 146:5 (1962),  983–986  mathnet  mathscinet
127. A. A. Borovkov, “Asymptotic representations of generating functions and limit theorems for boundary-value problems”, Dokl. Akad. Nauk SSSR, 143:3 (1962),  510–513  mathnet  mathscinet  zmath
128. A. A. Borovkov, “On the two-sample problem”, Izv. Akad. Nauk SSSR Ser. Mat., 26:4 (1962),  605–624  mathnet  mathscinet  zmath
129. A. A. Borovkov, “Some Theorems on Non-Latticed Random Walk”, Teor. Veroyatnost. i Primenen., 7:2 (1962),  170–184  mathnet; Theory Probab. Appl., 7:2 (1962), 164–179
1961
130. A. A. Borovkov, “Local Theorems and Moments for Maxima of Sums of Bounded Lattice Components”, Teor. Veroyatnost. i Primenen., 6:1 (1961),  108–110  mathnet; Theory Probab. Appl., 6:1 (1961), 99–101
1960
131. A. A. Borovkov, “Limit Theorems on the Distribution of Maximum of Sums of Bounded, Lattice Random Variables. II”, Teor. Veroyatnost. i Primenen., 5:4 (1960),  377–392  mathnet; Theory Probab. Appl., 5:4 (1960), 341–355
132. A. A. Borovkov, “Limit Theorems on the Distributions of Maxima of Sums of Bounded Lattice Random Variables. I”, Teor. Veroyatnost. i Primenen., 5:2 (1960),  137–171  mathnet; Theory Probab. Appl., 5:2 (1960), 125–155
1958
133. A. A. Borovkov, “Some problems concerned with large deviations of the maximum of sums of independent equally distributed random variables”, Dokl. Akad. Nauk SSSR, 121:1 (1958),  13–15  mathnet  mathscinet  zmath

2011
134. A. A. Borovkov, S. K. Godunov, S. S. Goncharov, A. N. Konovalov, I. A. Lavrov, V. D. Mazurov, L. L. Maksimova, A. A. Mal'tsev, B. G. Mikhailenko, A. S. Morozov, A. A. Nikitin, E. A. Palyutin, Yu. G. Reshetnyak, “Yurii Leonidovich Ershov (on his seventieth birthday)”, Uspekhi Mat. Nauk, 66:1(397) (2011),  201–204  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 66:1 (2011), 199–203  isi
2006
135. 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
2004
136. A. A. Borovkov, I. A. Ibragimov, V. P. Maslov, Yu. V. Prokhorov, B. A. Sevast'yanov, Ya. G. Sinai, “On the 70th Birthday of A. N. Shiryaev”, Teor. Veroyatnost. i Primenen., 49:4 (2004),  775–778  mathnet  mathscinet; Theory Probab. Appl., 49:4 (2005), 691–694  isi
2003
137. M. M. Lavrent'ev, Yu. L. Ershov, S. S. Kutateladze, A. A. Borovkov, S. K. Godunov, S. S. Goncharov, Yu. G. Reshetnyak, V. G. Romanov, V. D. Mazurov, “Sergei L'vovich Sobolev”, Sibirsk. Mat. Zh., 44:5 (2003),  953–960  mathnet  mathscinet  zmath
138. A. A. Borovkov, V. A. Vatutin, V. M. Zolotarev, A. M. Zubkov, I. A. Ibragimov, R. I. Ivanovskaya, V. F. Kolchin, V. P. Maslov, Yu. V. Prokhorov, M. V. Khatuntseva, V. I. Khokhlov, A. S. Holevo, D. M. Chibisov, A. N. Shiryaev, “On the 80th Birthday of B. A. Sevastyanov”, Teor. Veroyatnost. i Primenen., 48:4 (2003),  785  mathnet  mathscinet; Theory Probab. Appl., 48:4 (2004), 697–702  isi
2002
139. A. A. Borovkov, M. A. Lifshits, Ya. Yu. Nikitin, Yu. V. Prokhorov, V. N. Sudakov, A. N. Shiryaev, “Il'dar Abdullovich Ibragimov (on his 70th birthday)”, Uspekhi Mat. Nauk, 57:5(347) (2002),  187–190  mathnet  mathscinet  zmath; Russian Math. Surveys, 57:5 (2002), 1039–1043  isi
2000
140. M. M. Lavrent'ev, V. L. Beresnev, A. A. Borovkov, S. K. Godunov, S. S. Goncharov, Yu. L. Ershov, S. S. Kutateladze, P. I. Plotnikov, Yu. G. Reshetnyak, V. G. Romanov, “Mikhail Alekseevich Lavrent'ev (on the centenary of his birth)”, Sibirsk. Mat. Zh., 41:5 (2000),  969–983  mathnet  mathscinet  zmath
141. M. M. Lavrent'ev, V. L. Beresnev, A. A. Borovkov, S. K. Godunov, S. S. Goncharov, V. D. Mazurov, S. S. Kutateladze, Yu. G. Reshetnyak, V. G. Romanov, “Yurii Leonidovich Ershov (on the occasion of his sixtieth birthday)”, Sibirsk. Mat. Zh., 41:2 (2000),  243–246  mathnet  mathscinet
1999
142. A. A. Borovkov, Yu. G. Reshetnyak, “On the 275th anniversary of the Russian Academy of Sciences”, Mat. Tr., 2:1 (1999),  3–7  mathnet  mathscinet  zmath
143. A. A. Borovkov, Yu. G. Reshetnyak, “The 275th anniversary of the Russian Academy of Sciences”, Sibirsk. Mat. Zh., 40:5 (1999),  973–976  mathnet  mathscinet  zmath
144. M. M. Lavrent'ev, V. L. Beresnev, A. A. Borovkov, Yu. L. Ershov, S. S. Kutateladze, Yu. G. Reshetnyak, V. G. Romanov, “Sergei Konstantinovich Godunov (on the occasion of his seventieth birthday)”, Sibirsk. Mat. Zh., 40:3 (1999),  483–484  mathnet  mathscinet  zmath
1998
145. M. M. Lavrent'ev, V. L. Beresnev, A. A. Borovkov, S. K. Godunov, Yu. L. Ershov, S. S. Kutateladze, Yu. G. Reshetnyak, V. G. Romanov, “Sergei L'vovich Sobolev (1908–1989)”, Sibirsk. Mat. Zh., 39:4 (1998),  723–729  mathnet  mathscinet  zmath
1997
146. M. M. Lavrent'ev, V. L. Beresnev, A. A. Borovkov, S. K. Godunov, Yu. L. Ershov, S. S. Kutateladze, Yu. G. Reshetnyak, V. G. Romanov, “On the fortieth anniversary of the Siberian Branch of the Academy of Sciences”, Sibirsk. Mat. Zh., 38:3 (1997),  483–484  mathnet  mathscinet  zmath
1993
147. N. S. Bakhvalov, A. A. Borovkov, R. L. Dobrushin, A. V. Zabrodin, V. M. Zolotarev, I. A. Ibragimov, Yu. V. Prokhorov, B. A. Sevast'yanov, Ya. G. Sinai, A. V. Skorokhod, V. A. Statulyavichus, R. Z. Khas'minskii, A. S. Kholevo, D. M. Chibisov, A. N. Shiryaev, “Memorial: Nikolai Nikolaevitch Chentsov”, Teor. Veroyatnost. i Primenen., 38:3 (1993),  613–623  mathnet  mathscinet  zmath; Theory Probab. Appl., 38:3 (1993), 506–515  isi
1992
148. A. A. Borovkov, A. A. Gonchar, I. A. Ibragimov, A. M. Il'in, Yu. V. Prokhorov, A. V. Skorokhod, “Rafail Zalmanovich Khas'minskii (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 47:4(286) (1992),  223–225  mathnet  mathscinet; Russian Math. Surveys, 47:4 (1992), 243–246  isi
1979
149. A. A. Borovkov, “Letter to the editors”, Teor. Veroyatnost. i Primenen., 24:2 (1979),  444  mathnet  mathscinet; Theory Probab. Appl., 24:2 (1979), 449–450
150. A. Borovkov, “Letter to the editors: “Ergodic and stability theorems for random walks in a strip and their applications” (Teor. Verojatnost. i Primenen. 23 (1978), no. 4, 705–714).”, Teor. Veroyatnost. i Primenen., 24:1 (1979),  236  mathnet  mathscinet; Theory Probab. Appl., 24:1 (1979), 236
1969
151. A. A. Borovkov, P. N. Golovanov, V. Ya. Kozlov, A. I. Kostrikin, Yu. V. Linnik, P. S. Novikov, D. K. Faddeev, N. N. Chentsov, “Ivan Nikolaevich Sanov (obituary)”, Uspekhi Mat. Nauk, 24:4(148) (1969),  177–179  mathnet  mathscinet  zmath; Russian Math. Surveys, 24:4 (1969), 159–161
1966
152. A. A. Borovkov, S. V. Nagaev, B. A. Rogozin, “Рецензия на книгу А. В. Скорохода «Случайные процессы с независимыми приращениями»”, Teor. Veroyatnost. i Primenen., 11:3 (1966),  550–554  mathnet; Theory Probab. Appl., 11:3 (1966), 488–494
1965
153. A. A. Borovkov, “Errata: “Some limit theorems of the queueing theory. I.””, Teor. Veroyatnost. i Primenen., 10:3 (1965),  437  mathnet  zmath; Theory Probab. Appl., 10:3 (1965), 400

Organisations
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020