Alexander Gushchin, Nino Kordzakhia, Alexander Novikov, “Translation invariant statistical experiments with independent increments”, Stat. Inference Stoch. Process., 21:2 (2018), 363–383 (cited: 1)
2.
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 (cited: 2) (cited: 2)
3.
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 (cited: 1)
2017
4.
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 (cited: 8) (cited: 8) (cited: 7)
5.
Nino Kordzakhia, Alexander Novikov, Bernard Ycart, “Approximations for weighted Kolmogorov–Smirnov distributions via boundary crossing probabilities”, Stat. Comput., 27 (2017), 1513 , 1523 pp. (cited: 4)
6.
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 (cited: 1)
2014
7.
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 (cited: 1) (cited: 1)
8.
A. A. Novikov, N. E. Kordzahia, “Lower and upper bounds for prices of Asian-type options”, Proc. Steklov Inst. Math., 287:1 (2014), 225–231 (cited: 6) (cited: 4) (cited: 4) (cited: 6)
2013
9.
A. Novikov, A. Shiryaev, “Remarks on moment inequalities and identities for martingales”, Statist. Probab. Lett., 83:4 (2013), 1260–1261
2014
10.
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 (cited: 7)
2013
11.
U. Çetin, A. Novikov, A. N. Shiryaev, “Bayesian sequential estimation of a drift of fractional Brownian motion”, Sequential Anal., 32:3 (2013), 288–296 (cited: 9) (cited: 11)
12.
A. A. Novikov, N. E. Kordzakhia, “Pitman estimators: an asymptotic variance revisited”, Theory Probab. Appl., 57:3 (2013), 521–529 (cited: 5) (cited: 1) (cited: 1) (cited: 5)
2011
13.
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 (cited: 11) (cited: 7) (cited: 11)
2010
14.
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
15.
J. Hinz, A. Novikov, “On fair pricing of emission-related derivatives”, Bernoulli, 16:4 (2010), 1240–1261 (cited: 11) (cited: 10)
16.
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
2009
17.
A. A. Novikov, “On Distributions of First Passage Times and Optimal Stopping of AR(1) Sequences”, Theory Probab. Appl., 53:3 (2009), 419–429 (cited: 6) (cited: 5) (cited: 5) (cited: 6)
2008
18.
A. N. Shiryaev, A. A. Novikov, “On a stochastic version of the trading rule “buy and hold””, Statist. Decisions, 26:4 (2008), 289–302
19.
N. Kordzakhia, A. Novikov, “Pricing of defaultable securities under stochastic interest”, Mathematical control theory and finance, Springer, Berlin, 2008, 251–263
20.
K. Borovkov, A. Novikov, “On exit times of Levy-driven Ornstein-Uhlenbeck processes”, Statist. Probab. Lett., 78:12 (2008), 1517–1525 (cited: 13) (cited: 14)
21.
T. Schmidt, A. Novikov, “A structural model with unobserved default boundary”, Appl. Math. Finance, 15:1-2 (2008), 183–203 (cited: 11)
22.
A. Novikov, N. Kordzakhia, “Martingales and first passage times of AR(1) sequences”, Stochastics, 80:2-3 (2008), 197–210 (cited: 15) (cited: 15)
2007
23.
A. Novikov, A. Shiryaev, “On solution of the optimal stopping problem for processes with independent increments”, Stochastics, 79:3-4 (2007), 393–406 (cited: 17) (cited: 26)
2006
24.
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
2005
25.
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 (cited: 26) (cited: 23)
26.
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 (cited: 8) (cited: 12) (cited: 17)
2004
27.
A. A. Novikov, “Martingales and first passage times for Ornstein–Uhlenbeck processes with a jump component”, Theory Probab. Appl., 48:2 (2004), 288–303 (cited: 14) (cited: 17)
2003
28.
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
2002
29.
“Geometric Lévy Process Pricing Model”, Proc. Steklov Inst. Math., 237 (2002), 176–191
30.
K. Borovkov, A. Novikov, “On a new approach to calculating expectations for option pricing”, J. Appl. Probab., 39:4 (2002), 889–895 (cited: 24)
2001
31.
K. Borovkov, A. Novikov, “On a piece-wise deterministic Markov process model”, Statist. Probab. Lett., 53:4 (2001), 421–428 (cited: 6) (cited: 8)
2000
32.
Theory Probab. Appl., 44:3 (2000), 591–604
1999
33.
A. Novikov, V. Frishling, N. Kordzakhia, “Approximations of boundary crossing probabilities for a Brownian motion”, J. Appl. Probab., 36:4 (1999), 1019–1030
34.
A. Novikov, E. Valkeila, “On some maximal inequalities for fractional Brownian motions”, Statist. Probab. Lett., 44:1 (1999), 47–54 (cited: 33)
35.
A. A. Novikov, “Hedging of options with a given probability”, Theory Probab. Appl., 43:1 (1999), 135–143 (cited: 7)
1997
36.
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
37.
A. A. Novikov, “Martingales, Tauberian theorem, and strategies of gambling”, Theory Probab. Appl., 41:4 (1997), 716–729 (cited: 11) (cited: 12)
1996
38.
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
39.
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
40.
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 (cited: 7)
1994
41.
A. Le Breton, A. A. Novikov, “Averaging for estimating covariances in stochastic approximation”, Math. Methods Statist., 3:3 (1994), 244–266
42.
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
43.
A. A. Novikov, A. N. Shiryaev, “Foreword”, Statistics and control of stochastic processes, Trudy Mat. Inst. Steklov., 202, TVP, Moscow, 1993, 3
1990
44.
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 (cited: 20)
45.
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
46.
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
47.
A. V. Melnikov, A. A. Novikov, “Sequential Inferences with Prescribed Accuracy for Semimartingales”, Theory Probab. Appl., 33:3 (1988), 446–459 (cited: 4)
48.
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
49.
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 (cited: 7)
50.
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
51.
Theory Probab. Appl., 31:2 (1987), 221–232 (cited: 8)
1985
52.
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
53.
A. A. Novikov, “Efficiency of selection procedures”, J. Soviet Math., 42, no. 1 (1988), 1475–1479 (cited: 1)
1984
54.
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 (cited: 1)
1983
55.
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 (cited: 7)
1981
56.
A. A. Novikov, “Small deviations of Gaussian process”, Math. Notes, 29:2 (1981), 150–155 (cited: 6) (cited: 3)
1983
57.
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
58.
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 (cited: 1)
1981
59.
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
60.
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
61.
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
62.
A. A. Novikov, “Recursive interpolation of partially observable random fields”, Mathematical statistics, Banach Center Publ., 6, PWN, Warsaw, 1980, 245–247
1981
63.
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 (cited: 12) (cited: 22)
1980
64.
A. A. Novikov, “On the conditions of the uniform integrability of the continuous nonnegative martingales”, Theory Probab. Appl., 24:4 (1980), 820–824 (cited: 8)
1979
65.
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
66.
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
67.
A. A. Novikov, “On conditions for absolute continuity of probability measures”, Math. USSR-Sb., 35:5 (1979), 697–707 (cited: 1)
68.
A. A. Novikov, “Recurrent interpolation of partially observed random fields with discrete parameter”, Theory Probab. Appl., 23:2 (1979), 390–395
1975
69.
A. A. Novikov, “On discontinuous martingales”, Theory Probab. Appl., 20:1 (1975), 11–26
70.
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
71.
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
72.
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
1972
73.
A. A. Novikov, “Sequential estimation of the parameters of diffusion processes”, Math. Notes, 12:5 (1972), 812–818 (cited: 11)
1973
74.
A. A. Novikov, “On an identity for stochastic integrals”, Theory Probab. Appl., 17:4 (1973), 717–720
1972
75.
A. A. Novikov, “Estimation of the parameters of diffusion processes”, Studia Sci. Math. Hungar., 7 (1972), 201–209 (Russian)
1971
76.
A. A. Novikov, “On moment inequalities for stochastic integrals”, Theory Probab. Appl., 16:3 (1971), 538–541
77.
A. A. Novikov, “On stopping times for the Wiener process”, Theory Probab. Appl., 16:3 (1971), 449–456
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
2018
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