A. A. Novikov, A. N. Shiryaev, N. E. Kordzahiya, Teor. Veroyatnost. i Primenen., 69:4 (to appear)
2023
2.
N. E. Kordzakhia, A. A. Novikov, A. N. Shiryaev, “Kolmogorov's inequality for the maximum of the sum of random variables and its martingale analogues”, Theory Probab. Appl., 68:3 (2023), 457–472
2021
3.
N. E. Kordzakhia, A. A. Novikov, “On maximal inequalities for Ornstein–Uhlenbeck processes with jumps”, Teoriya veroyatn. i ee primen., 66:4 (2021), 895–913;
2018
4.
Alexander Gushchin, Nino Kordzakhia, Alexander Novikov, “Translation invariant statistical experiments with independent increments”, Stat. Inference Stoch. Process., 21:2 (2018), 363–383
Nino E. Kordzakhia, Yury A. Kutoyants, Alexander A. Novikov, Lin-Yee Hin, “On limit distributions of estimators in irregular statistical models and a new representation of fractional Brownian motion”, Statist. Probab. Lett., 139 (2018), 141–151
Konstantin Borovkov, Yuliya Mishura, Alexander Novikov, Mikhail Zhitlukhin, “New and refined bounds for expected maxima of fractional Brownian motion”, Statist. Probab. Lett., 137 (2018), 142–147
Konstantin Borovkov, Yuliya Mishura, Alexander Novikov, Mikhail Zhitlukhin, “Bounds for expected maxima of Gaussian processes and their discrete approximations”, Stochastics, 89:1 (2017), 21–37
Nino Kordzakhia, Alexander Novikov, Bernard Ycart, “Approximations for weighted Kolmogorov–Smirnov distributions via boundary crossing probabilities”, Stat. Comput., 27 (2017), 1513 , 1523 pp.
A. A. Novikov, S. Alexander, N. E. Kordzahiya, T. Ling, “Pricing of asian-type and basket options via bounds”, Theory Probab. Appl., 61:1 (2017), 94–106
2014
10.
A. Novikov, A. N. Shiryaev, “Discussion on “Sequential Estimation for Time Series Models” by T. N. Sriram and Ross Iaci”, Sequential Anal., 33:2 (2014), 182–185
A. A. Novikov, N. E. Kordzahiya, T. Ling, “On moments of Pitman estimators: the case of fractional Brownian motion”, Theory Probab. Appl., 58:4 (2014), 601–614
2013
14.
U. Çetin, A. Novikov, A. N. Shiryaev, “Bayesian sequential estimation of a drift of fractional Brownian motion”, Sequential Anal., 32:3 (2013), 288–296
A. A. Novikov, N. E. Kordzakhia, “Pitman estimators: an asymptotic variance revisited”, Theory Probab. Appl., 57:3 (2013), 521–529
2011
16.
S. Christensen, A. Irle, A. Novikov, “An elementary approach to optimal stopping problems for $\mathrm{AR}(1)$ sequences”, Sequential Anal., 30:1 (2011), 79–93
G. Mititelu, Y. Areepong, S. Sukparungsee, A. Novikov, “Explicit analytical solutions for average run length of CUSUM and EWMA charts”, East-West J. Math., 2010, no. Special Vol., 253–265
18.
J. Hinz, A. Novikov, “On fair pricing of emission-related derivatives”, Bernoulli, 16:4 (2010), 1240–1261
K. A. Borovkov, A. N. Downes, A. A. Novikov, “Continuity theorems in boundary crossing problems for diffusion processes”, Contemporary quantitative finance, Springer, Berlin, 2010, 335–351
N. Kordzakhia, A. Novikov, “Pricing of defaultable securities under stochastic interest”, Mathematical control theory and finance, Springer, Berlin, 2008, 251–263
23.
K. Borovkov, A. Novikov, “On exit times of Levy-driven Ornstein-Uhlenbeck processes”, Statist. Probab. Lett., 78:12 (2008), 1517–1525
R. Liptser, A. Novikov, “Tail distributions of supremum and quadratic variation of local martingales”, From stochastic calculus to mathematical finance, Springer, Berlin, 2006, 421–432
K. Borovkov, A. Novikov, “Explicit bounds for approximation rates of boundary crossing probabilities for the Wiener process”, J. Appl. Probab., 42:1 (2005), 82–92
A. A. Novikov, A. N. Shiryaev, “On an effective solution of the optimal stopping problem for random walks”, Theory Probab. Appl., 49:2 (2005), 344–354
2004
30.
A. A. Novikov, “Martingales and first passage times for Ornstein–Uhlenbeck processes with a jump component”, Theory Probab. Appl., 48:2 (2004), 288–303
2003
31.
A. Novikov, V. Frishling, N. Kordzakhia, “Time-dependent barrier options and boundary crossing probabilities”, Dedicated to the memory of Professor Revaz Chitashvili, Georgian Math. J., 10:2 (2003), 325–334
A. Novikov, V. Frishling, N. Kordzakhia, “Approximations of boundary crossing probabilities for a Brownian motion”, J. Appl. Probab., 36:4 (1999), 1019–1030
A. A. Novikov, “Hedging of options with a given probability”, Theory Probab. Appl., 43:1 (1999), 135–143
1997
39.
L. I. Galtchouk, A. A. Novikov, “On Wald's equation. Discrete time case”, Séminaire de Probabilités, XXXI, Lecture Notes in Math., 1655, Springer, Berlin, 1997, 126–135
A. A. Novikov, “Martingales, Tauberian theorem, and strategies of gambling”, Theory Probab. Appl., 41:4 (1997), 716–729
1996
41.
A. A. Novikov, V. V. Novikov, “Sequential procedures for multihypotheses testing”, Probability theory and mathematical statistics (Tokyo, 1995), World Sci. Publ., River Edge, NJ, 1996, 363–378
42.
A. Le Breton, A. Novikov, “Some results about averaging in stochastic approximation”, ProbaStat '94 (Smolenice Castle, 1994), Tatra Mt. Math. Publ., 7, 1996, 255–260
1995
43.
A. Le Breton, A. Novikov, “Some results about averaging in stochastic approximation”, Second International Conference on Mathematical Statistics (Smolenice Castle, 1994), Metrika, 42, no. 3-4, 1995, 153–171
A. Le Breton, A. A. Novikov, “Averaging for estimating covariances in stochastic approximation”, Math. Methods Statist., 3:3 (1994), 244–266
45.
A. A. Novikov, B. A. Èrgashev, “Limit theorems for the first passage time of autoregression process over a level”, Proc. Steklov Inst. Math., 202 (1994), 169–186
1993
46.
A. A. Novikov, A. N. Shiryaev, “Foreword”, Statistics and control of stochastic processes, Trudy Mat. Inst. Steklov., 202, TVP, Moscow, 1993, 3
1990
47.
A. A. Novikov, “On the first exit time of an autoregressive process beyond a level and an application to the “change-point” problem”, Theory Probab. Appl., 35:2 (1990), 269–279
48.
A. V. Mel'nikov, A. A. Novikov, “Statistical inferences for semimartingale regression models”, Probability theory and mathematical statistics (Vilnius, 1989), v. II, “Mokslas”, Vilnius, 1990, 150–167
1989
49.
A. A. Novikov, “On a family of martingales connected with an autoregressive process”, Statistics and control of random processes (Preila, 1987), “Nauka”, Moscow, 1989, 160–169 (Russian)
1988
50.
A. V. Melnikov, A. A. Novikov, “Sequential Inferences with Prescribed Accuracy for Semimartingales”, Theory Probab. Appl., 33:3 (1988), 446–459
51.
A. A. Novikov, V. P. Dragalin, “Asymptotic expansions for 2-SPRT”, Probability theory and mathematical statistics (Kyoto, 1986), Lecture Notes in Math., 1299, Springer, Berlin, 1988, 366–375
1987
52.
V. P. Dragalin, A. A. Novikov, “The Asymptotic Solution of the Kiefer–Weiss Problem for Processes with Independent Increments”, Theory Probab. Appl., 32:4 (1987), 617–627
53.
V. I. Lotov, A. A. Novikov, “Asymptotic expansions in some problems of sequential testing”, Proceedings of the 1st World Congress of the Bernoulli Society (Tashkent, 1986), v. 2, VNU Sci. Press, Utrecht, 1987, 411–420
54.
Theory Probab. Appl., 31:2 (1987), 221–232
1985
55.
A. A. Novikov, “Consistency of least squares estimates in regression models with martingale errors”, Statistics and control of stochastic processes (Moscow, 1984), Transl. Ser. Math. Engrg., Optimization Software, New York, 1985, 389–409
1988
56.
A. A. Novikov, “Efficiency of selection procedures”, J. Soviet Math., 42, no. 1 (1988), 1475–1479
1984
57.
A. A. Novikov, “Martingale identities and inequalities and their applications in nonlinear boundary-value problems for random processes”, Math. Notes, 35:3 (1984), 241–249
1983
58.
A. A. Novikov, “On the moment of crossing the one-sided nonlinear boundary by sums of independent random variables”, Theory Probab. Appl., 27:4 (1983), 688–702
1981
59.
A. A. Novikov, “Small deviations of Gaussian process”, Math. Notes, 29:2 (1981), 150–155
1983
60.
A. A. Novikov, “The martingale approach in problems on the time of the first crossing of nonlinear boundaries”, Proc. Steklov Inst. Math., 158 (1983), 141–163
1982
61.
A. A. Novikov, “On the exit time of sums of bounded random variables out of a curve strip”, Theory Probab. Appl., 26:2 (1982), 279–292
1981
62.
A. A. Novikov, “A martingale approach to first passage problems and a new condition for Wald's identity”, Stochastic differential systems (Visegrád, 1980), Lecture Notes in Control and Information Sci., 36, Springer, Berlin, 1981, 146–156
A. A. Novikov, “On estimates and the asymptotic behavior of the probability of nonintersection of moving boundaries by sums of independent random variables”, Math. USSR-Izv., 17:1 (1981), 129–145
1980
64.
A. A. Novikov, “On conditions for uniform integrability for continuous exponential martingales”, Stochastic differential systems, Proc. IFIP-WG 7/1 Working Conf. (Vilnius, 1978), Lecture Notes in Control and Information Sci., 25, Springer, Berlin, 1980, 304–310
A. A. Novikov, “Recursive interpolation of partially observable random fields”, Mathematical statistics, Banach Center Publ., 6, PWN, Warsaw, 1980, 245–247
1981
66.
A. A. Novikov, “On estimates and the asymptotic behavior of nonexit probabilities of a Wiener process to a moving boundary”, Math. USSR-Sb., 38:4 (1981), 495–505
1980
67.
A. A. Novikov, “On the conditions of the uniform integrability of the continuous nonnegative martingales”, Theory Probab. Appl., 24:4 (1980), 820–824
1979
68.
A. A. Novikov, “On stopping times of semistable diffusion processes”, Probability theory, Papers, VIIth Semester, Stefan Banach Internat. Math. Center, Warsaw, 1976, Banach Center Publ., 5, PWN, Warsaw, 1979, 203–209
69.
A. A. Novikov, “Optimal interpolation of partially observed two-dimensional random fields”, Probability theory, Papers, VIIth Semester, Stefan Banach Internat. Math. Center, Warsaw, 1976, Banach Center Publ., 5, PWN, Warsaw, 1979, 211–220
70.
A. A. Novikov, “On conditions for absolute continuity of probability measures”, Math. USSR-Sb., 35:5 (1979), 697–707
71.
A. A. Novikov, “Recurrent interpolation of partially observed random fields with discrete parameter”, Theory Probab. Appl., 23:2 (1979), 390–395
1975
72.
A. A. Novikov, “On discontinuous martingales”, Theory Probab. Appl., 20:1 (1975), 11–26
73.
A. A. Novikov, “Martingale inequalities”, Proceedings of the School and Seminar on the Theory of Random Processes (Druskininkai, 1974), Part II, Inst. Fiz. i Mat. Akad. Nauk Litovsk. SSR, Vilnius, 1975, 89–126
1974
74.
A. A. Novikov, “Inequalities and identities for a certain class of martingales”, Papers presented at the Fifth Balkan Mathematical Congress (Belgrade, 1974), Math. Balkanica, 4, 1974, 465–467
1973
75.
A. A. Novikov, “On moment inequalities and identities for stochastic integrals”, Proceedings of the Second Japan-USSR Symposium on Probability Theory (Kyoto, 1972), Lecture Notes in Math., 330, Springer, Berlin, 1973, 333–339
Statistics and control of stochastic processes, Trudy Mat. Inst. Steklov., 202, ed. A. A. Novikov, A. N. Shiryaev, E. F. Mishchenko, 1993, 304 с. http://mi.mathnet.ru/book1103
2023
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