A. A. Borovkov, E. I. Prokopenko, “On limit theorems for the distribution of the maximal element in a sequence of random variables”, Teor. Veroyatnost. i Primenen., 69:2 (2024), 233–255; Theory Probab. Appl., 69:2 (2024), 186–204
2023
2.
A. A. Borovkov, “On an asymptotic approach to the change point detection problem and exponential
convergence rate in the ergodic theorem for Markov chains”, Teor. Veroyatnost. i Primenen., 68:3 (2023), 456–482; Theory Probab. Appl., 68:3 (2023), 370–391
A. A. Borovkov, “Semiexponential distributions and related large deviation principles for trajectories of random walks”, Sibirsk. Mat. Zh., 63:4 (2022), 783–795; Siberian Math. J., 63:4 (2022), 651–661
A. A. Borovkov, “On the existence conditions for exact large deviation principles”, Sibirsk. Mat. Zh., 63:1 (2022), 58–76; Siberian Math. J., 63:1 (2022), 48–64
2021
5.
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; Theory Probab. Appl., 66:4 (2022), 570–581
A. A. Borovkov, “On exact large deviation principles for compound renewal processes”, Teor. Veroyatnost. i Primenen., 66:2 (2021), 214–230; Theory Probab. Appl., 66:2 (2021), 170–183
A. A. Borovkov, “Sharp asymptotics for the Laplace transform of the compound renewal process and related problems”, Sib. Èlektron. Mat. Izv., 17 (2020), 824–839
8.
A. A. Borovkov, “Boundary crossing problems for compound renewal processes”, Sibirsk. Mat. Zh., 61:1 (2020), 29–59; Siberian Math. J., 61:1 (2020), 21–46
A. A. Borovkov, “Extension of the invariance principle for compound renewal processes
to the zones of moderately large and small deviations”, Teor. Veroyatnost. i Primenen., 65:4 (2020), 651–670; Theory Probab. Appl., 65:4 (2021), 511–526
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; Theory Probab. Appl., 64:4 (2020), 499–512
A. A. Borovkov, “Moderately large deviation principles for trajectories of compound renewal processes”, Teor. Veroyatnost. i Primenen., 64:2 (2019), 399–411; Theory Probab. Appl., 64:2 (2019), 324–333
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; Siberian Math. J., 59:4 (2018), 578–597
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; Siberian Math. J., 59:3 (2018), 383–402
A. A. Borovkov, “On estimation of parameters in the case of discontinuous densities”, Teor. Veroyatnost. i Primenen., 63:2 (2018), 211–239; Theory Probab. Appl., 63:2 (2018), 169–192
A. A. Borovkov, “Integro-local limit theorems for compound renewal processes”, Teor. Veroyatnost. i Primenen., 62:2 (2017), 217–240; Theory Probab. Appl., 62:2 (2018), 175–195
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; Siberian Adv. Math., 26:4 (2016), 231–246
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; Theory Probab. Appl., 61:4 (2017), 590–612
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; Theory Probab. Appl., 61:2 (2017), 235–254
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; Siberian Math. J., 56:5 (2015), 765–782
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; Siberian Math. J., 56:1 (2015), 28–53
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; Theory Probab. Appl., 60:3 (2016), 349–366
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; Theory Probab. Appl., 60:2 (2016), 207–221
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; Siberian Adv. Math., 25:4 (2015), 255–267
A. A. Borovkov, K. A. Borovkov, “Blackwell-type theorems for weighted renewal functions”, Sibirsk. Mat. Zh., 55:4 (2014), 724–743; Siberian Math. J., 55:4 (2014), 589–605
29.
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; Theory Probab. Appl., 59:1 (2015), 3–22
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; Siberian Adv. Math., 25:1 (2015), 39–55
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; Siberian Math. J., 54:2 (2013), 217–226
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; Theory Probab. Appl., 58:4 (2014), 562–581
A. A. Borovkov, A. A. Mogulskii, “Large deviation principles for random walk trajectories. III”, Teor. Veroyatnost. i Primenen., 58:1 (2013), 37–52; Theory Probab. Appl., 58:1 (2014), 25–37
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; Theory Probab. Appl., 57:1 (2013), 1–27
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; Siberian Math. J., 52:4 (2011), 612–627
A. A. Borovkov, “Large deviation principles for random walks with regularly varying distributions of jumps”, Sibirsk. Mat. Zh., 52:3 (2011), 512–521; Siberian Math. J., 52:3 (2011), 402–410
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; Theory Probab. Appl., 56:4 (2011), 538–561
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; Theory Probab. Appl., 56:1 (2012), 21–43
A. A. Borovkov, A. A. Mogul'skiĭ, “On large deviation principles in metric spaces”, Sibirsk. Mat. Zh., 51:6 (2010), 1251–1269; Siberian Math. J., 51:6 (2010), 989–1003
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; Siberian Math. J., 50:5 (2009), 776–797
41.
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; Theory Probab. Appl., 54:4 (2010), 571–587
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; Siberian Adv. Math., 18:3 (2008), 163–175
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; Siberian Math. J., 49:5 (2008), 796–805
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; Theory Probab. Appl., 53:4 (2009), 573–593
A. A. Borovkov, “Large Sample Change-Point Estimation when Distributions Are Unknown”, Teor. Veroyatnost. i Primenen., 53:3 (2008), 437–457; Theory Probab. Appl., 53:3 (2009), 402–418
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; Theory Probab. Appl., 53:2 (2009), 301–311
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; Math. Notes, 79:4 (2006), 468–482
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; Siberian Math. J., 47:6 (2006), 990–1026
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; Theory Probab. Appl., 51:4 (2007), 567–594
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; Theory Probab. Appl., 51:2 (2007), 227–255
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; Siberian Adv. Math., 16:1 (2006), 1–65
A. A. Borovkov, “Asymptotic analysis for random walks with nonidentically distributed jumps having finite variance”, Sibirsk. Mat. Zh., 46:6 (2005), 1265–1287; Siberian Math. J., 46:6 (2005), 1020–1038
53.
A. A. Borovkov, “Large deviations for random walks with nonidentically distributed jumps having infinite variance”, Sibirsk. Mat. Zh., 46:1 (2005), 46–70; Siberian Math. J., 46:1 (2005), 35–55
A. A. Borovkov, “Transient phenomena for random walks with nonidential jumps having nonidetically infinite variances”, Teor. Veroyatnost. i Primenen., 50:2 (2005), 224–240; Theory Probab. Appl., 50:2 (2006), 199–213
A. A. Borovkov, “On the Asymptotic Behavior of Distributions of First-Passage Times, II”, Mat. Zametki, 75:3 (2004), 350–359; Math. Notes, 75:3 (2004), 322–330
A. A. Borovkov, “On the Asymptotic Behavior of the Distributions of First-Passage Times, I”, Mat. Zametki, 75:1 (2004), 24–39; Math. Notes, 75:1 (2004), 23–37
A. A. Borovkov, “Kolmogorov and boundary problems of probability theory”, Uspekhi Mat. Nauk, 59:1(355) (2004), 91–102; Russian Math. Surveys, 59:1 (2004), 91–102
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; Theory Probab. Appl., 49:3 (2005), 189–206
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; Theory Probab. Appl., 48:2 (2004), 226–242
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; Siberian Math. J., 43:6 (2002), 995–1022
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; Siberian Math. J., 43:3 (2002), 402–407
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; Theory Probab. Appl., 47:4 (2003), 584–608
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; Russian Math. Surveys, 56:5 (2001), 803–916
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; Siberian Math. J., 42:2 (2001), 245–270
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; Theory Probab. Appl., 46:4 (2002), 603–618
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; Theory Probab. Appl., 46:2 (2002), 193–213
A. A. Borovkov, “Large deviation probabilities for random walks with semiexponential distributions”, Sibirsk. Mat. Zh., 41:6 (2000), 1290–1324; Siberian Math. J., 41:6 (2000), 1061–1093
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; Siberian Math. J., 41:5 (2000), 811–848
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; Theory Probab. Appl., 45:3 (2001), 379–405
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; Theory Probab. Appl., 45:1 (2001), 3–22
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; Theory Probab. Appl., 44:2 (2000), 231–253
A. A. Borovkov, “Asymptotically optimal solutions in the change-point problem”, Teor. Veroyatnost. i Primenen., 43:4 (1998), 625–654; Theory Probab. Appl., 43:4 (1999), 539–561
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; Theory Probab. Appl., 43:1 (1999), 1–12
A. A. Borovkov, “Limit theorems for the time and place of the first crossing of the
boundary by a multidimensional random walk”, Dokl. Akad. Nauk, 353:6 (1997), 711–713
1996
76.
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; Siberian Math. J., 37:4 (1996), 647–682
A. A. Borovkov, “On the limit conditional distributions connected with large deviations”, Sibirsk. Mat. Zh., 37:4 (1996), 732–744; Siberian Math. J., 37:4 (1996), 635–646
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; Theory Probab. Appl., 41:1 (1997), 1–24
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
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; Siberian Math. J., 36:3 (1995), 417–434
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; Theory Probab. Appl., 40:2 (1995), 230–237
A. A. Borovkov, S. G. Foss, “Stochastically recursive sequences and their generalizations”, Trudy Inst. Mat. SO RAN, 20 (1993), 32–103
83.
A. A. Borovkov, S. A. Utev, “Estimates for distributions of sums stopped at Markov time”, Teor. Veroyatnost. i Primenen., 38:2 (1993), 259–272; Theory Probab. Appl., 38:2 (1993), 214–225
A. A. Borovkov, “On the ergodicity of iterations of random Lipschitz
transformations”, Dokl. Akad. Nauk, 324:2 (1992), 249–253; Dokl. Math., 45:3 (1992), 551–555
85.
A. A. Borovkov, A. A. Mogul'skii, “Large deviations and the testing of statistical hypotheses”, Trudy Inst. Mat. SO RAN, 19 (1992), 2–220
86.
A. A. Borovkov, A. A. Mogul'skii, “Large Deviations and Statistical Invariance Principle”, Teor. Veroyatnost. i Primenen., 37:1 (1992), 11–18; Theory Probab. Appl., 37:1 (1993), 7–13
A. A. Borovkov, “Ergodicity conditions for Markov chains that are not connected with irreducibility in the sense of Harris”, Sibirsk. Mat. Zh., 32:4 (1991), 6–19; Siberian Math. J., 32:4 (1991), 543–554
A. A. Borovkov, “Lyapunov functions and the ergodicity of multidimensional Markov chains”, Teor. Veroyatnost. i Primenen., 36:1 (1991), 93–110; Theory Probab. Appl., 35:1 (1991), 1–18
A. A. Borovkov, “Ergodicity and stability of multidimensional Markov chains”, Teor. Veroyatnost. i Primenen., 35:3 (1990), 543–547; Theory Probab. Appl., 35:3 (1990), 542–546
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
91.
A. A. Borovkov, “Asymptotic Stabilization in the Decentralized ALOHA Algorithm. Diffusion Approximation”, Probl. Peredachi Inf., 25:1 (1989), 55–64; Problems Inform. Transmission, 25:1 (1989), 42–49
1988
92.
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; Theory Probab. Appl., 33:4 (1988), 595–611
A. A. Borovkov, “Asymptotic analysis of communication networks”, Dokl. Akad. Nauk SSSR, 296:5 (1987), 1033–1038; Dokl. Math., 36:2 (1988), 335–339
94.
A. A. Borovkov, “Limit Theorems for Queueing Networks. II”, Teor. Veroyatnost. i Primenen., 32:2 (1987), 282–298; Theory Probab. Appl., 32:2 (1987), 257–272
A. A. Borovkov, “Limit theorems for queueing networks. I”, Teor. Veroyatnost. i Primenen., 31:3 (1986), 474–490; Theory Probab. Appl., 31:3 (1987), 413–427
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; Theory Probab. Appl., 31:2 (1987), 179–202
A. A. Borovkov, V. I. Lotov, A. I. Sakhanenko, “Asymptotics of coefficients of factorized Euler polynomials”, Sibirsk. Mat. Zh., 26:1 (1985), 23–29; Siberian Math. J., 26:1 (1985), 16–22
A. A. Borovkov, “Boundary-value problems, the invariance principle, and large deviations”, Uspekhi Mat. Nauk, 38:4(232) (1983), 227–254; Russian Math. Surveys, 38:4 (1983), 259–290
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; Theory Probab. Appl., 28:2 (1984), 219–228
A. A. Borovkov, A. I. Sakhanenko, “Asymptotically optimal tests for testing composite similar hypotheses”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 1 (1982), 79–90
1980
101.
A. A. Borovkov, A. A. Mogul'skii, “Probabilities of large deviations in topological spaces. II”, Sibirsk. Mat. Zh., 21:5 (1980), 12–26; Siberian Math. J., 21:5 (1980), 653–664
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; Theory Probab. Appl., 25:4 (1981), 721–731
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; Theory Probab. Appl., 25:3 (1981), 439–453
A. A. Borovkov, A. A. Mogul'skii, “Probabilities of large deviations in topological spaces. I”, Sibirsk. Mat. Zh., 19:5 (1978), 988–1004; Siberian Math. J., 19:5 (1978), 697–709
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; Theory Probab. Appl., 23:4 (1979), 677–685
106.
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; Theory Probab. Appl., 23:2 (1979), 227–247
A. A. Borovkov, “Multichannel servicing processes with an intensive input flow. II”, Sibirsk. Mat. Zh., 18:6 (1977), 1220–1245; Siberian Math. J., 18:6 (1977), 863–882
108.
A. A. Borovkov, “Multichannel servicing processes with an intensive input flow. I”, Sibirsk. Mat. Zh., 18:5 (1977), 966–986; Siberian Math. J., 18:4 (1977), 681–696
109.
A. A. Borovkov, “Some estimates of the convergence rate in stability theorems”, Teor. Veroyatnost. i Primenen., 22:4 (1977), 689–699; Theory Probab. Appl., 22:4 (1978), 668–678
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; Theory Probab. Appl., 22:2 (1978), 366–370
A. A. Borovkov, E. A. Pechersky, “Convergence of the distributions of integral functionals”, Sibirsk. Mat. Zh., 16:5 (1975), 899–915; Siberian Math. J., 16:5 (1975), 685–698
A. A. Borovkov, “Asymptotically optimal tests in mathematical statistics”, Teor. Veroyatnost. i Primenen., 20:3 (1975), 463–487; Theory Probab. Appl., 20:3 (1976), 447–469
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
116.
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; Theory Probab. Appl., 18:4 (1974), 774–777
A. A. Borovkov, “Conditions for convergence ot degenerate processes”, Teor. Veroyatnost. i Primenen., 18:3 (1973), 449–456; Theory Probab. Appl., 18:3 (1974), 423–430
A. A. Borovkov, “On the Rate of Convergence for the Invariance Principle”, Teor. Veroyatnost. i Primenen., 18:2 (1973), 217–234; Theory Probab. Appl., 18:2 (1972), 207–225
A. A. Borovkov, “On estimates in the principle of invariance”, Dokl. Akad. Nauk SSSR, 206:5 (1972), 1037–1039
120.
A. A. Borovkov, “The convergence of tributions of functionals on stochastic processes”, Uspekhi Mat. Nauk, 27:1(163) (1972), 3–41; Russian Math. Surveys, 27:1 (1972), 1–42
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; Proc. Steklov Inst. Math., 128 (1972), 43–72
122.
A. A. Borovkov, “Notes on inequalities for sums of independent variables”, Teor. Veroyatnost. i Primenen., 17:3 (1972), 588–590; Theory Probab. Appl., 17:3 (1973), 556–557
A. A. Borovkov, “Continuity theorems for multichannel systems with refusals”, Teor. Veroyatnost. i Primenen., 17:3 (1972), 458–467; Theory Probab. Appl., 17:3 (1973), 434–444
A. A. Borovkov, “Some Properties of the Supremum of Sums of Stationary Related Random Variables”, Teor. Veroyatnost. i Primenen., 17:1 (1972), 147–150; Theory Probab. Appl., 17:1 (1972), 149–151
A. A. Borovkov, “On the problem of pattern recognition”, Teor. Veroyatnost. i Primenen., 16:1 (1971), 132–136; Theory Probab. Appl., 16:1 (1971), 141–144
A. A. Borovkov, “Ergodic theorems for multichannel queueing systems”, Dokl. Akad. Nauk SSSR, 194:4 (1970), 743–746
127.
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; Theory Probab. Appl., 15:2 (1970), 359–402
A. A. Borovkov, “Three types of conditions for convergence to diffusion processes”, Dokl. Akad. Nauk SSSR, 187:5 (1969), 974–977
1968
129.
A. A. Borovkov, “Some theorems in renewal theory and their applications”, Sibirsk. Mat. Zh., 9:2 (1968), 249–254; Siberian Math. J., 9:2 (1968), 187–191
A. A. Borovkov, N. M. Sycheva, “On some asymptotically optimal non-parametric criteria”, Teor. Veroyatnost. i Primenen., 13:3 (1968), 385–417; Theory Probab. Appl., 13:3 (1968), 359–393
A. A. Borovkov, “On service processes in multi-channel systems”, Teor. Veroyatnost. i Primenen., 13:1 (1968), 180–183; Theory Probab. Appl., 13:1 (1968), 179–181
132.
A. A. Borovkov, “Some inequalities for sums of multidimensional random variables”, Teor. Veroyatnost. i Primenen., 13:1 (1968), 155–159; Theory Probab. Appl., 13:1 (1968), 156–160
A. A. Borovkov, “Boundary problems for random walks and large deviations in functional spaces”, Teor. Veroyatnost. i Primenen., 12:4 (1967), 635–654; Theory Probab. Appl., 12:4 (1967), 575–595
A. A. Borovkov, “О сходимости к диффузионным процессам”, Teor. Veroyatnost. i Primenen., 12:3 (1967), 458–482; Theory Probab. Appl., 12:3 (1967), 405–431
A. A. Borovkov, “On Convergence of Weakly Dependent Processes to the Wiener Process”, Teor. Veroyatnost. i Primenen., 12:2 (1967), 193–221; Theory Probab. Appl., 12:2 (1967), 159–186
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
138.
A. A. Borovkov, “Asymptotic analysis of some service systems”, Teor. Veroyatnost. i Primenen., 11:4 (1966), 675–682; Theory Probab. Appl., 11:4 (1966), 596–602
A. A. Borovkov, “Some limit theorems of the queueing theory. II. (Many channels systems)”, Teor. Veroyatnost. i Primenen., 10:3 (1965), 409–436; Theory Probab. Appl., 10:3 (1965), 375–400
A. A. Borovkov, “О времени первого прохождения для одного класса процессов с независимыми приращениями”, Teor. Veroyatnost. i Primenen., 10:2 (1965), 360–364; Theory Probab. Appl., 10:2 (1965), 331–334
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; Theory Probab. Appl., 10:2 (1965), 236–246
A. A. Borovkov, B. A. Rogozin, “On the Multidimentional Central Limit Theorem”, Teor. Veroyatnost. i Primenen., 10:1 (1965), 61–69; Theory Probab. Appl., 10:1 (1965), 55–62
A. A. Borovkov, “Limit Theorems in the Theory of Queues. I”, Teor. Veroyatnost. i Primenen., 9:4 (1964), 608–625; Theory Probab. Appl., 9:4 (1964), 550–565
A. A. Borovkov, B. A. Rogozin, “Boundary Problems in Some Two-Dimensional Random Walks”, Teor. Veroyatnost. i Primenen., 9:3 (1964), 401–430; Theory Probab. Appl., 9:3 (1964), 361–388
A. A. Borovkov, “Remarks on Wiener's and Blackwell's Theorems”, Teor. Veroyatnost. i Primenen., 9:2 (1964), 331–343; Theory Probab. Appl., 9:2 (1964), 303–312
A. A. Borovkov, “A probabilistic formulation of two economic problems”, Dokl. Akad. Nauk SSSR, 146:5 (1962), 983–986
153.
A. A. Borovkov, “Asymptotic representations of generating functions and limit theorems for boundary-value problems”, Dokl. Akad. Nauk SSSR, 143:3 (1962), 510–513
154.
A. A. Borovkov, “On the two-sample problem”, Izv. Akad. Nauk SSSR Ser. Mat., 26:4 (1962), 605–624
A. A. Borovkov, “Some Theorems on Non-Latticed Random Walk”, Teor. Veroyatnost. i Primenen., 7:2 (1962), 170–184; Theory Probab. Appl., 7:2 (1962), 164–179
A. A. Borovkov, “Local Theorems and Moments for Maxima of Sums of Bounded Lattice Components”, Teor. Veroyatnost. i Primenen., 6:1 (1961), 108–110; Theory Probab. Appl., 6:1 (1961), 99–101
1960
158.
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; Theory Probab. Appl., 5:4 (1960), 341–355
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; Theory Probab. Appl., 5:2 (1960), 125–155
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
2023
161.
A. A. Borovkov, Al. V. Bulinski, A. M. Vershik, D. Zaporozhets, A. S. Holevo, A. N. Shiryaev, “Ildar Abdullovich Ibragimov (on his ninetieth birthday)”, Uspekhi Mat. Nauk, 78:3(471) (2023), 183–195; Russian Math. Surveys, 78:3 (2023), 573–583
2011
162.
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; Russian Math. Surveys, 66:1 (2011), 199–203
2006
163.
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; Theory Probab. Appl., 51:2 (2007), 398–400
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; Theory Probab. Appl., 49:4 (2005), 691–694
2003
165.
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
166.
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; Theory Probab. Appl., 48:4 (2004), 697–702
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; Russian Math. Surveys, 57:5 (2002), 1039–1043
2000
168.
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
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
A. A. Borovkov, Yu. G. Reshetnyak, “On the 275th anniversary of the Russian Academy of Sciences”, Mat. Tr., 2:1 (1999), 3–7
171.
A. A. Borovkov, Yu. G. Reshetnyak, “The 275th anniversary of the Russian Academy of Sciences”, Sibirsk. Mat. Zh., 40:5 (1999), 973–976
172.
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
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
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
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; Theory Probab. Appl., 38:3 (1993), 506–515
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; Russian Math. Surveys, 47:4 (1992), 243–246
1989
177.
M. M. Lavrent'ev, Yu. G. Reshetnyak, A. A. Borovkov, S. K. Godunov, T. I. Zelenyak, S. S. Kutateladze, “Remembrances of Sergei L'vovich Sobolev”, Sibirsk. Mat. Zh., 30:3 (1989), 214–216; Siberian Math. J., 30:3 (1989), 502–504
A. A. Borovkov, “Letter to the editors”, Teor. Veroyatnost. i Primenen., 24:2 (1979), 444; Theory Probab. Appl., 24:2 (1979), 449–450
179.
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; Theory Probab. Appl., 24:1 (1979), 236
1969
180.
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; Russian Math. Surveys, 24:4 (1969), 159–161
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; Theory Probab. Appl., 11:3 (1966), 488–494
1965
182.
A. A. Borovkov, “Errata: “Some limit theorems of the queueing theory. I.””, Teor. Veroyatnost. i Primenen., 10:3 (1965), 437; Theory Probab. Appl., 10:3 (1965), 400
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