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Novikov Aleksandr Aleksandrovich

Publications


| by years | scientific publications | by types |



   2025
1. A. V. Bulinski, A. A. Gushchin, M. V. Zhitlukhin, V. V. Kozlov, A. D. Manita, A. A. Muravlev, A. A. Novikov, I. V. Pavlov, D. V. Treschev, A. S. Holevo, E. B. Yarovaya, P. A. Yaskov, “Albert Nikolaevich Shiryaev (on his 90th birthday)”, Russian Math. Surveys, 80:1 (2025), 161–168  mathnet  crossref  crossref  mathscinet  adsnasa  isi
2. A. A. Novikov, A. N. Shiryaev, N. E. Kordzahiya, “On parameter estimation of diffusion processes: sequential and fixed sample size estimation revisited”, Theory Probab. Appl., 69:4 (2025), 531–552  mathnet  crossref  crossref  scopus

   2023
3. 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  mathnet  crossref  crossref  scopus

   2021
4. 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  mathnet  crossref  mathscinet  zmath;  crossref  mathscinet  zmath  scopus

   2018
5. Alexander Gushchin, Nino Kordzakhia, Alexander Novikov, “Translation invariant statistical experiments with independent increments”, Stat. Inference Stoch. Process., 21:2 (2018), 363–383  mathnet  crossref  mathscinet  scopus
6. 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  mathnet  crossref  mathscinet  isi  scopus
7. 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  mathnet  crossref  mathscinet  isi  scopus

   2017
8. 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  mathnet  crossref  mathscinet  isi  isi  elib  scopus
9. Nino Kordzakhia, Alexander Novikov, Bernard Ycart, “Approximations for weighted Kolmogorov–Smirnov distributions via boundary crossing probabilities”, Stat. Comput., 27 (2017), 1513 , 1523 pp.  mathnet  crossref  mathscinet  isi  elib  scopus
10. 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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2014
11. 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  mathnet  crossref  mathscinet  zmath  isi  scopus
12. 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  mathnet  crossref  crossref  isi  elib  elib  scopus

   2013
13. A. Novikov, A. Shiryaev, “Remarks on moment inequalities and identities for martingales”, Statist. Probab. Lett., 83:4 (2013), 1260–1261  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

   2014
14. 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  mathnet  crossref  crossref  mathscinet  isi  elib  elib

   2013
15. U. Çetin, A. Novikov, A. N. Shiryaev, “Bayesian sequential estimation of a drift of fractional Brownian motion”, Sequential Anal., 32:3 (2013), 288–296  mathnet  crossref  mathscinet  zmath  isi  scopus
16. A. A. Novikov, N. E. Kordzakhia, “Pitman estimators: an asymptotic variance revisited”, Theory Probab. Appl., 57:3 (2013), 521–529  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus

   2011
17. 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  crossref  mathscinet  zmath  isi  elib  scopus

   2010
18. 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  mathscinet  zmath
19. R. Liptser, A. Novikov, A. G. Tartakovsky, “Celebrating Albert Shiryaev's 75th anniversary”, Sequential Anal., 29:2 (2010), 107–111  crossref  mathscinet  scopus
20. J. Hinz, A. Novikov, “On fair pricing of emission-related derivatives”, Bernoulli, 16:4 (2010), 1240–1261  crossref  mathscinet  zmath  isi  scopus
21. 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  crossref  mathscinet  zmath

   2009
22. A. A. Novikov, “On Distributions of First Passage Times and Optimal Stopping of AR(1) Sequences”, Theory Probab. Appl., 53:3 (2009), 419–429  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2008
23. A. N. Shiryaev, A. A. Novikov, “On a stochastic version of the trading rule “buy and hold””, Statist. Decisions, 26:4 (2008), 289–302  crossref  mathscinet  zmath
24. N. Kordzakhia, A. Novikov, “Pricing of defaultable securities under stochastic interest”, Mathematical control theory and finance, Springer, Berlin, 2008, 251–263  crossref  mathscinet  zmath  scopus
25. K. Borovkov, A. Novikov, “On exit times of Levy-driven Ornstein-Uhlenbeck processes”, Statist. Probab. Lett., 78:12 (2008), 1517–1525  crossref  mathscinet  zmath  isi  scopus
26. T. Schmidt, A. Novikov, “A structural model with unobserved default boundary”, Appl. Math. Finance, 15:1-2 (2008), 183–203  crossref  mathscinet  zmath  scopus
27. A. Novikov, N. Kordzakhia, “Martingales and first passage times of AR(1) sequences”, Stochastics, 80:2-3 (2008), 197–210  crossref  mathscinet  zmath  isi  scopus
Full list of publications


© Steklov Math. Inst. of RAS, 2025