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Gushchin, Alexander Alexandrovich

Statistics
in MathSciNet: 60 (57)
in zbMATH: 48 (47)
in Web of Science: 31 (29)
in Scopus: 32 (31)
Senior Researcher
Doctor of physico-mathematical sciences (1997)
Speciality: 01.01.05 (Probability theory and mathematical statistics)
Birth date: 18.09.1958
E-mail:
Keywords: stochastic analysis, theory of martingales, Hellinger processes, statistics of stochastic processes, parameter estimation, mathematical finance.
   
Main publications:
  1. A. A. Gushchin, É. Mordecki, “Bounds on Option Prices for Semimartingale Market Models”, Proc. Steklov Inst. Math., 237 (2002), 73–113  mathnet  mathscinet  zmath
  2. A. A. Gushchin, U. Küchler, “On stationary solutions of delay differential equations driven by a Lévy process”, Stochastic Process. Appl., 88:2 (2000), 195–211  crossref  mathscinet  zmath  isi  elib  scopus
  3. A. A. Gushchin, U. Küchler, “Asymptotic inference for a linear stochastic differential equation with time delay”, Bernoulli, 5:6 (1999), 1059–1098  crossref  mathscinet  zmath  isi  elib  scopus
  4. A. A. Gushchin, “On asymptotic optimality of estimators of parameters under the LAQ condition”, Theory Probab. Appl., 40:2 (1995), 261–272  mathnet  crossref  mathscinet  zmath  isi
  5. A. A. Gushchin, “On the general theory of random fields on the plane”, Russian Math. Surveys, 37:6 (1982), 55–80  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

https://www.mathnet.ru/eng/person17972
https://scholar.google.com/citations?user=hrvK3k4AAAAJ&hl=en
https://zbmath.org/authors/ai:gushchin.alexander-a
https://mathscinet.ams.org/mathscinet/MRAuthorID/270944
https://elibrary.ru/author_items.asp?authorid=5329
ISTINA https://istina.msu.ru/workers/2765141
https://orcid.org/0000-0002-0020-7496
https://www.webofscience.com/wos/author/record/K-8696-2015
https://www.scopus.com/authid/detail.url?authorId=7006190356

List of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   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. Gushchin, I. Pavlov, A. Karapetyants, “Academician Albert N. Shiryaev—scientist, teacher and personality”, Journal of Mathematical Sciences, 289:3 (2025), 359–363 https://doi.org/10.1007/s10958-025-07732-1  crossref
3. A. A. Gushchin, “Uniform integrability of nonnegative supermartingales via change of time in geometric Brownian motion”, Theory Probab. Appl., 69:4 (2025), 622–629  mathnet  crossref  crossref  mathscinet  scopus

   2022
4. Dmitriy Borzykh, Alexander Gushchin, “On the denseness of the subset of discrete distributions in a certain set of two-dimensional distributions”, Mod. Stoch., Theory Appl., 9:3 (2022), 265–277  mathnet  crossref  mathscinet  scopus 2
5. Yuri Yakubovich, Oleg Rusakov, Alexander Gushchin, “Functional limit theorem for the sums of PSI-processes with random intensities”, Mathematics, 10:21 (2022), 3955 , 17 pp.  mathnet  crossref  scopus 1
6. Guschin A. A., Nedoshivin M. A., “O konstruktsii Perkinsa v zadache vlozheniya Skorokhoda”, Tezisy dokladov, predstavlennykh na Sedmoi mezhdunarodnoi konferentsii po stokhasticheskim metodam. I. (pos. Divnomorskoe, Gelendzhik, 02–09 iyunya 2022 g.), Teoriya veroyatn. i ee primen., 67, no. 4, 2022, 831

   2021
7. Alexander A. Gushchin, Assylliya K. Zhunussova, “Single jump filtrations: preservation of the local martingale property with respect to the filtration generated by the local martingale”, Operator Theory and Harmonic Analysis, OTHA 2020, Springer Proc. Math. Statist., 358, Springer, Cham, 2021, 219–231  mathnet  crossref  scopus

   2020
8. Alexander Gushchin, Ilya Pavlyukevich, Marian Ritsch, “Drift estimation for a L\evy–driven Ornstein–Uhlenbeck process with heavy tails”, Stat. Inference Stoch. Process., 23:3 (2020), 553–570  mathnet  crossref  mathscinet  isi  scopus 2
9. Alexander A. Gushchin, “Single jump filtrations and local martingales”, Mod. Stoch., Theory Appl., 7:2 (2020), 135–156  mathnet  crossref  mathscinet  isi  scopus 5

   2021
10. A. A. Gushchin, “The joint law of a max-continuous local submartingale and its maximum”, Theory Probab. Appl., 65:4 (2021), 545–557  mathnet  crossref  crossref  mathscinet  isi

   2019
11. A. A. Gushchin, M. A. Urusov, “Minimal embeddings of integrable processes in a Brownian motion”, Russian Math. Surveys, 74:5 (2019), 953–955  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2020
12. A. A. Gushchin, S. S. Leshchenko, “Testing hypotheses for measures with different masses: Four optimization problems”, Theory Probab. Math. Stat., 101 (2020), 109–117  mathnet  crossref  isi  scopus

   2018
13. 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 1
14. A. A. Gushchin, “On possible relations between an increasing process and its compensator in the non-integrable case”, Russian Math. Surveys, 73:5 (2018), 928–930  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
15. A. A. Gushchin, “The joint law of terminal values of a nonnegative submartingale and its compensator”, Theory Probab. Appl., 62:2 (2018), 216–235  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2017
16. Alexander Gushchin and Esko Valkeila, “Quadratic Approximation for Log-Likelihood Ratio Processes”, Modern Problems of Stochastic Analysis and Statistics, Selected Contributions in Honor of Valentin Konakov, Springer Proceedings in Mathematics & Statistics, 208, eds. Vladimir Panov, Springer International Publishing AG, Cham, 2017, 179–215  mathnet  crossref  mathscinet  zmath  scopus 1
17. A. A. Gushchin, D. A. Borzykh, “Integrated quantile functions: properties and applications”, Mod. Stoch., Theory Appl., 4:4 (2017), 285–314  mathnet  crossref  mathscinet  isi 6

   2016
18. A. A. Gushchin, “The minimum increment of $f$-divergences given total variation distances”, Math. Methods Statist., 25:4 (2016), 304–312  mathnet  crossref  mathscinet  zmath  isi  elib  scopus 1

   2015
19. A. Gushchin, “A characterization of maximin tests for two composite hypotheses”, Math. Methods Statist., 24:2 (2015), 110–121  mathnet  crossref  mathscinet  zmath  elib  scopus 3
20. Alexander A. Gushchin, Stochastic calculus for quantitative finance, ISTE, London; Elsevier, Kidlington, 2015 , 208 pp. www.sciencedirect.com/science/book/9781785480348  mathscinet  zmath  scopus

   2016
21. A. A. Gushchin, M. A. Urusov, “Processes that can be embedded in a geometric Brownian motion”, Theory Probab. Appl., 60:2 (2016), 246–262  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2014
22. A. A. Gushchin, R. V. Khasanov, I. S. Morozov, “Some functional analytic tools for utility maximization”, Modern stochastics and applications, Springer Optimization and Its Applications, 90, eds. V. Korolyuk, N. Limnios, Y. Mishura, L. Sakhno, G. Shevchenko, Springer, 2014, 267–285  mathnet  crossref  mathscinet  zmath  scopus 2
23. A. A. Gushchin, “On pathwise counterparts of Doob's maximal inequalities”, Proc. Steklov Inst. Math., 287:1 (2014), 118–121  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
24. Alexander Gushchin, Mikhail Urusov, Mihail Zervos, “On the submartingale/supermartingale property of diffusions in natural scale”, Proc. Steklov Inst. Math., 287:1 (2014), 122–132  mathnet  crossref  crossref  mathscinet  mathscinet  zmath  isi  elib  elib  scopus
25. Stokhasticheskoe ischislenie, martingaly i ikh primeneniya, Sbornik statei. K 80-letiyu so dnya rozhdeniya akademika Alberta Nikolaevicha Shiryaeva, Trudy MIAN, 287, ed. A. A. Guschin, A. G. Sergeev, MAIK «Nauka/Interperiodika», M., 2014 , 319 pp.  mathnet

   2013
26. A. A. Gushchin, “On the upper hedging price of nonnegative contingent claims”, Modern problems of mathematics and mechanics. Volume VIII. Mathematics. Issue 3. To the 80th anniversary of Mechanics and Mathematics Department of MSU, eds. A. N. Shiryaev, A. V. Lebedev, MSU Press, Moscow, 2013, 60–72
27. A. A. Gushchin, “A characterization of a minimax test in the problem of testing two composite hypotheses”, Dokl. Math., 87:3 (2013), 345–347  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
28. A. A. Gushchin, “On a connection between superhedging prices and the dual problem in utility maximization”, Advanced finance and stochastics, Book of Abstracts (Moscow, 24–28 June 2013), eds. M. Zhitlukhin and A. Muravlev, Steklov Mathematical Institute, Moscow, 2013, 60–61
29. A. Gushchin, “Translation invariant statistical experiments with independent increments”, Russian-Chinese Seminar on Asymptotic Methods in Probability Theory and Mathematical Statistics. Programme and Abstracts (St.Petersburg, 10–14 June, 2013), The Euler International Mathematical Institute, 2013, 24 http://www.pdmi.ras.ru/EIMI/2013/RChS/prog.pdf

   2012
30. A. A. Gushchin, “On a structure of a minimax test in testing composite hypotheses”, International conference “Stochastic Optimization and Optimal Stopping”. Book of abstracts (Moscow, 24–28 September 2012), eds. Mikhail Zhitlukhin and Alexey Muravlev, Steklov Mathematical Institute, Moscow, 2012, 79–80

   2011
31. A. A. Gushchin, U. Küchler, “On estimation of delay location”, Stat. Inference Stoch. Process., 14:3 (2011), 273–305  crossref  mathscinet  zmath  elib  scopus 6
32. A. A. Gushchin, “Utility maximization in some markets admitting arbitrage”, Theory Probab. Appl., 55:3 (2011), 548  mathnet  crossref  crossref  mathscinet  isi  elib
33. A. A. Gushchin, “Dual characterization of the value function in the robust utility maximization problem”, Theory Probab. Appl., 55:4 (2011), 611–630  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
34. Yu. S. Mishura, A. A. Gushchin, “International Conference “Modern Stochastics: Theory and Applications II””, Theory Probab. Appl., 55:4 (2011), 732  mathnet  crossref  mathscinet  elib

   2009
35. A. A. Guschin, “O maksimizatsii robastnoi poleznosti so shtrafnoi funktsiei”, XVI Vserossiiskaya shkola-kollokvium po stokhasticheskim metodam (Sankt-Peterburg, 19–24 maya 2009 g.), Obozrenie prikladnoi i promyshlennoi matematiki, 16, no. 2, 2009, 260–261
36. A. A. Guschin, “Odna lemma iz teorii prostranstv Orlicha”, X Vserossiiskii simpozium po prikladnoi i promyshlennoi matematike (Sochi, 1–8 oktyabrya 2009 g.), Obozrenie prikladnoi i promyshlennoi matematiki, 16, no. 6, 2009, 1056–1057

   2008
37. A. A. Gushchin, “On an extension of the notion of $f$-divergence”, Theory Probab. Appl., 52:3 (2008), 439–455  mathnet  crossref  crossref  mathscinet  zmath  zmath  isi  elib  elib  scopus

   2006
38. A. A. Gushchin, D. A. Zhdanov, “A minimax result for $f$-divergences”, From stochastic calculus to mathematical finance, The Shiryaev Festschrift, eds. Yu. Kabanov, R. Liptser and J. Stoyanov, Springer, Berlin, 2006, 287–294  crossref  mathscinet  zmath  isi 2
39. A. A. Gushchin, “On robust utility maximization”, International Conference “Modern Stochastics: Theory and Applications” (Kyiv, June 19–23, 2008), Conference Materials, Kyiv National Taras Shevchenko University, 2006, 134–135

   2005
40. A. A. Gushchin, Measures of informativity and their applications in statistics and finance, Minicourse at Helsinki University of Technology, May 3–9, 2005, 2005
41. A. A. Guschin, “$f$-divergentsiya konechno-additivnykh mer”, XII Vserossiiskaya shkola-kollokvium po stokhasticheskim metodam (Sochi, 1–7 oktyabrya 2005 g.), Obozrenie prikladnoi i promyshlennoi matematiki, 12, no. 3, 2005, 657–658  elib

   2004
42. A. A. Gushchin, U. Küchler, “On oscillations of the geometric Brownian motion with time-delayed drift”, Statist. Probab. Lett., 70:1 (2004), 19–24  crossref  mathscinet  zmath  isi  elib  scopus 3

   2005
43. A. A. Gushchin, U. Küchler, “On recovery of a measure from its symmetrization”, Theory Probab. Appl., 49:2 (2005), 323–333  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2003
44. A. A. Gushchin, E. Valkeila, “Approximations and limit theorems for likelihood ratio processes in the binary case”, Statist. Decisions, 21:3 (2003), 219–260  crossref  mathscinet  zmath 5
45. A. A. Gushchin, U. Küchler, “On parametric statistical models for stationary solutions of affine stochastic delay differential equations”, Math. Methods Statist., 12:1 (2003), 31–61  mathscinet
46. A. A. Gushchin, “On Fano's lemma and similar inequalities for the minimax risk”, Theory Probab. Math. Statist., 2003, no. 67, 29–41  mathscinet  zmath

   2002
47. A. A. Gushchin, É. Mordecki, “Bounds on Option Prices for Semimartingale Market Models”, Proc. Steklov Inst. Math., 237 (2002), 73–113  mathnet  mathscinet  zmath

   2001
48. A. A. Gushchin, E. Valkeila, “Exponential approximation of statistical experiments”, Asymptotic methods in probability and statistics with applications (St. Petersburg, 1998), Stat. Ind. Technol., eds. N. Balakrishnan, I. A. Ibragimov, V. B. Nevzorov, Birkhäuser Boston, Boston, MA, 2001, 409–423  mathscinet  zmath
49. A. A. Gushchin, E. Valkeila, “Exponential statistical experiments: their properties and convergence results”, Statist. Decisions, 19:2 (2001), 173–190  mathscinet  zmath
50. A. A. Guschin, O. V. Lepskii, “Ob asimptoticheskom povedenii otsenok parametrov”, VIII Vserossiiskaya shkola-kollokvium po stokhasticheskim metodam (Ioshkar-Ola, 1–6 dekabrya 2001 g.), Obozrenie prikladnoi i promyshlennoi matematiki, 8, no. 2, 2001, 755–756
51. A. A. Gushchin, E. Valkeila, “Approximations for likelihood ratio processes”, VIII Vserossiiskaya shkola-kollokvium po stokhasticheskim metodam (Ioshkar-Ola, 1–6 dekabrya 2001 g.), Obozrenie prikladnoi i promyshlennoi matematiki, 8, no. 2, 2001, 819–821
52. A. A. Gushchin, U. Küchler, “Addendum to: “Asymptotic inference for a linear stochastic differential equation with time delay” [Bernoulli 5 (1999), no. 6, 1059–1098]”, Bernoulli, 7:4 (2001), 629–632  crossref  mathscinet  zmath  isi  scopus 2

   2000
53. A. A. Gushchin, U. Küchler, “On stationary solutions of delay differential equations driven by a Lévy process”, Stochastic Process. Appl., 88:2 (2000), 195–211  crossref  mathscinet  zmath  isi  elib  scopus 43
54. A. A. Guschin, U. Kyukhler, “Ob otsenivanii parametra v odnoi modeli statsionarnykh gaussovskikh nablyudenii”, VII Vserossiiskaya shkola-kollokvium po stokhasticheskim metodam (Sochi, 1–6 oktyabrya 2000 g.), Obozrenie prikladnoi i promyshlennoi matematiki, 7, no. 2, 2000, 489–490

   1999
55. A. A. Gushchin, U. Küchler, “Asymptotic inference for a linear stochastic differential equation with time delay”, Bernoulli, 5:6 (1999), 1059–1098  crossref  mathscinet  zmath  isi  elib  scopus 33

   2000
56. A. A. Gushchin, “Book review: Christopher C. Heyde. “Quasi-Likelihood and Its Application. A General Approach to Optimal Parameter Estimation””, Theory Probab. Appl., 44:1 (2000), 222–224  mathnet  crossref  crossref

   1998
57. A. A. Gushchin, E. Valkeila, “On convergence to exponential-type statistical models”, Abstracts of communications, International conference “Asymptotic Methods in Probability and Mathematical Statistics” dedicated to the 50th Anniversary of the Chair of Probability and Statistics in St. Petersburg University (St. Petersburg, June 24–28, 1998), St. Petersburg University, 1998, 107–112
58. A. A. Guschin, U. Kyukhler, “O suschestvovanii statsionarnogo resheniya stokhasticheskogo differentsialnogo uravneniya s zapazdyvaniem, upravlyaemogo protsessom Levi”, V Vserossiiskaya shkola-kollokvium po stokhasticheskim metodam (Ioshkar-Ola, 6–12 dekabrya 1998 g.), Obozrenie prikladnoi i promyshlennoi matematiki, 5, no. 2, 1998, 217–218

   1997
59. A. A. Guschin, Issledovaniya po teorii semimartingalov i ikh statistike, Diss. … doktora fiz.-matem. nauk, Matematicheskii institut im. V. A. Steklova, Moskva, 1997 , 223 pp.
60. A. A. Guschin, Issledovaniya po teorii semimartingalov i ikh statistike, Avtoreferat diss. … doktora fiz.-matem. nauk, Matematicheskii institut im. V. A. Steklova, Moskva, 1997 , 26 pp.

   1996
61. A. A. Gushchin, “On taking limits under the compensator sign”, Probability theory and mathematical statistics, Proceedings of the Euler Institute seminars dedicated to the memory of Kolmogorov (St. Petersburg, 1993), eds. I. A. Ibragimov and A. Yu. Zaitsev, Gordon and Breach, Amsterdam, 1996, 185–192  mathscinet  zmath
62. A. A. Gushchin, “On an information-type inequality for the Hellinger process”, Probability theory and mathematical statistics, Proceedings of the Seventh Japan–Russia Symposium (Tokyo, 1995), eds. S. Watanabe, M. Fukushima, Yu. V. Prohorov, A. N. Shiryaev, World Scientific, Singapore, 1996, 83–109  mathscinet  zmath
63. A. A. Gushchin, “On some inequalities of Cramér–Rao type”, Uspekhi teorii veroyatnostei ee primenenii II (Moskva, 3–8 oktyabrya 1993 g.), Trudy chetvertogo rossiisko–finskogo simpoziuma po teorii veroyatnostei i matematicheskoi statistike, eds. A. N. Shiryaev, A. V. Melnikov, Kh. Niemi, E. Valkeila, TVP, Moskva, 1996, 59–66  zmath

   1995
64. A. A. Gushchin, “On asymptotic optimality of estimators of parameters under the LAQ condition”, Theory Probab. Appl., 40:2 (1995), 261–272  mathnet  crossref  mathscinet  zmath  isi
65. A. A. Gushchin, On efficiency bounds for estimating the offspring mean in a branching process, WIAS Preprint No. 175, WIAS, Berlin, 1995 , 25 pp.
66. A. A. Gushchin, “On semiparametric estimation for functionals of stochastic processes”, 21st European Meeting of Statisticians. Programme & Abstracts (Aarhus, August 21–25, 1995), University of Aarhus, 1995, 78
67. A. A. Gushchin, “A lower bound for the variation distance between distributions of stochastic processes”, Abstract. Japan–Russia Symposium on Probability Theory and Mathematical Statistics (Tokyo, July 26–30, 1995), The Meiji Mutual Life Insurance Co. Corporate Training Center, 1995, 75
68. A. A. Guschin, U. Kyukhler, “Otsenivanie parametrov po nablyudeniyu za resheniem lineinogo stokhasticheskogo differentsialnogo uravneniya s zapazdyvaniem”, Vtoraya Vserossiiskaya shkola-kollokvium po stokhasticheskim metodam (Ioshkar-Ola, 18–23 dekabrya 1995 g.), Tezisy dokladov, TVP, Moskva, 1995, 44–45

   1994
69. A. A. Gushchin, “On the asymptotic optimality of estimates of parameters for locally asymptotically quadratic statistical experiments”, Russian Math. Surveys, 49:2 (1994), 159–160  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
70. A. A. Guschin, “Ob asimptoticheskoi effektivnosti otsenok funktsionalov ot sluchainykh protsessov”, Vserossiiskaya shkola-kollokvium po stokhasticheskim metodam geometrii i analiza. Tezisy dokladov (Abrau–Dyurso, 25 sentyabrya–2 oktyabrya 1994 g.), TVP, Moskva, 1994, 33–34
71. A. A. Gushchin, “Efficiency bounds for estimating the offspring mean in a branching process”, Proceedings of the Workshop on Stochastics and Finance (Berlin, September 5–10, 1994), Humboldt University, Berlin, 1994, 32–33
72. A. A. Gushchin, “On the convergence of sequences of semimartingales and their components”, Proc. Steklov Inst. Math., 202 (1994), 35–95  mathnet  mathscinet  zmath

   1992
73. A. A. Gushchin, “On convergence of a sequence of compensators of increasing processes”, Probability theory and mathematical statistics (Kiev, 1991), eds. A. N. Shiryaev et al., World Scientific, Singapore, 1992, 111–124  mathscinet  zmath

   1993
74. A. A. Gushchin, “A Regular Filtered Statistical Model and Families of Martingales”, Theory Probab. Appl., 37:1 (1993), 43–46  mathnet  crossref  mathscinet  zmath  isi

   1992
75. A. A. Gushchin, “On quasi-score processes”, Ann. Acad. Sci. Fenn. Ser. A I Math., 17:1 (1992), 29–38  crossref  mathscinet  zmath  isi 1
76. A. A. Gushchin, Yu. S. Mishura, “The Davis inequalities and the Gundy decomposition for two-parameter strong martingales. III”, Theory Probab. Math. Statist., 1992, no. 44, 45–51  mathscinet  zmath  zmath

   1990
77. Yu. S. Mishura, A. A. Gushchin, “Two-parameter strong martingales: inequalities for quadratic variation and some decompositions”, Probability theory and mathematical statistics (Vilnius, 1989), Vol. II, eds. B. Grigelionis et al., VSP / Mokslas, Utrecht / Vilnius, 1990, 181–192 https://www.degruyter.com/document/doi/10.1515/9783112319024/html  mathscinet  zmath
78. A. A. Gushchin, “Improvement and generalization of the Cramér-Rao inequality for a filtered space”, Probability theory and mathematical statistics (Vilnius, 1989), Vol. I, eds. B. Grigelionis et al., VSP / Mokslas, Utrecht / Vilnius, 1990, 480–489  mathscinet  zmath
79. A. A. Gushchin, A. I. Ekushov, “Estimation of the expected reward from programmed control for a certain type of controllable Markov sequence”, Theory Probab. Appl., 35:3 (1990), 431–442  mathnet  crossref  mathscinet  zmath  isi

   1991
80. A. A. Gushchin, Yu. S. Mishura, “The Davis inequalities and the Gundy decomposition for two-parameter strong martingales. II”, Theory Probab. Math. Statist., 1991, no. 43, 65–76  mathscinet  zmath
81. A. A. Gushchin, Yu. S. Mishura, “The Davis inequalities and the Gundy decomposition for two-parameter strong martingales. I”, Theory Probab. Math. Statist., 1991, no. 42, 29–37  mathscinet  zmath

   1989
82. A. A. Gushchin, “A remark on the asymptotic behavior of minimax risk in distinguishing processes of diffusion type”, Statistics and control of random processes (Preila, 1987), Nauka, Moscow, 1989, 48–55  mathscinet  zmath
83. A. A. Gushchin, “Rao-Cramér inequalities on a space with filtration”, Russian Math. Surveys, 44:4 (1989), 205–206  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
84. A. A. Gushchin, “Cramér–Rao type inequality for a filtered space”, Fifth International Vilnius Conference on Probability Theory and Mathematical Statistics, Abstracts of Communications (Vilnius, June 26 – July 1, 1989), V. I: A–L, Institute of Mathematics and Cybernetics, Academy of Sciences of the Lithuanian SSR, Vilnius, 1989, 190–191
85. Yu. S. Mishura, A. A. Guschin, “Razlozheniya silnykh martingalov i semimartingalov, zadannykh na ploskosti”, Pyataya mezhdunarodnaya Vilnyusskaya konferentsiya po teorii veroyatnostei i matematicheskoi statistike, Tezisy dokladov (Vilnyus, 26 iyunya – 1 iyulya 1989 g.), T. IV: M–Ya, Institut matematiki i kibernetiki Litovskoi SSR, Vilnyus, 1989, 57–58
86. A. A. Gushchin, “Cramér–Rao type inequality for filtered statistical experiments”, XXXIII Semester on Robustness and Nonparametric Statistics, Abstracts of Lectures (Warsaw, March 1 – May 31, 1989), Part I, Stefan Banach International Mathematical Center, Warsaw, 1989, 66–67

   1988
87. A. A. Gushchin, “Stochastic integration with respect to strong martingales in the plane”, Lectures in mathematics and its applications, Vol. 2, No. 2, Ross. Akad. Nauk, Inst. Mat. im. Steklova, Moscow, 1988, 242–256  mathscinet

   1987
88. A. A. Guschin, “Ob “ostanovke” silnykh martingalov na ploskosti”, XXI shkola-kollokvium po teorii veroyatnostei i matematicheskoi statistike, Tezisy dokladov (Bakuriani, 21 fevralya – 1 marta 1987 g.), Metsniereba, Tbilisi, 1987, 12
89. A. A. Gushchin, “On asymptotic behaviour of minimax risk in the problem of testing two simple hypotheses”, 5th European Young Statisticians Meeting (Aarhus, August 17–21, 1987), eds. J. L. Jensen, M. Sørensen, Aarhus University, Aarhus, 1987, 60–62  mathscinet

   1985
90. A. A. Guschin, E. I. Kolomiets, “Nekotorye neravenstva dlya veroyatnostei oshibok razlicheniya dvukh prostykh gipotez”, Chetvertaya mezhdunarodnaya Vilnyusskaya konferentsiya po teorii veroyatnostei i matematicheskoi statistike, Tezisy dokladov (Vilnyus, 24–29 iyunya 1985 g.), T. 1: A-I, Institut matematiki i kibernetiki AN Litovskoi SSR, Vilnyus, 1985, 198–199

   1983
91. A. A. Guschin, K obschei teorii sluchainykh polei (martingalnyi podkhod), Diss. … kand. fiz.-matem. nauk, Matematicheskii institut im. V. A. Steklova, Moskva, 1983 , 108 pp.
92. A. A. Guschin, K obschei teorii sluchainykh polei (martingalnyi podkhod), Avtoreferat diss. … kand. fiz.-matem. nauk, Matematicheskii institut im. V. A. Steklova, Moskva, 1983 , 12 pp.

   1982
93. A. A. Gushchin, “Weakly predictable random fields”, Soviet Math. Dokl., 26:3 (1982), 725–727  mathnet  mathscinet  mathscinet  zmath  isi
94. A. A. Gushchin, “On the general theory of random fields on the plane”, Russian Math. Surveys, 37:6 (1982), 55–80  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1983
95. A. A. Gushchin, “On absolute continuity and singularity of the distributions of random fields”, Math. USSR-Sb., 46:2 (1983), 161–170  mathnet  crossref  mathscinet  zmath  scopus

   1981
96. A. A. Guschin, “Ob absolyutnoi nepreryvnosti i singulyarnosti raspredelenii sluchainykh polei”, Tretya Vilnyusskaya konferentsiya po teorii veroyatnostei i matematicheskoi statistike, Tezisy dokladov (Vilnyus, 22–27 iyunya 1981 g.), T. 1 (A–K), Institut matematiki i kibernetiki AN Litovskoi SSR, Vilnyus, 1981, 159–160

Presentations in Math-Net.Ru
1. Change of time in geometric Brownian motion and the Novikov condition: PostScript
A. A. Gushchin
10th International Conference on Stochastic Methods
June 2, 2025 16:30
2. Равномерная интегрируемость неотрицательных супермартингалов через замену времени в геометрическом броуновском движении
A. A. Gushchin
Conference "Stochastics" in honor of Professor Albert Shiryaev's 90th anniversary
October 15, 2024 15:30   
3. О выборе канонического пространства в проблематике абсолютной непрерывности вероятностных мер
A. A. Gushchin
9th International Conference on Stochastic Methods
June 5, 2024 09:00
4. Martingales with respect to special filtration
Alexander Gushchin
International Conference "Theory of Probability and Its Applications: P. L. Chebyshev – 200" (The 6th International Conference on Stochastic Methods)
May 20, 2021 18:00   
5. Совместные распределения макс-непрерывного локального субмартингала и его максимума
A. A. Gushchin
Seminar of the Department of Probability Theory "Stochastic Analysis: Theory and Applications", Steklov Mathematical Institute of RAS
December 27, 2018 13:00
6. Single jump martingales and the Skorokhod embedding
A. A. Gushchin
Principle Seminar of the Department of Probability Theory, Moscow State University
October 10, 2018 16:45
7. The joint law of terminal values of a nonnegative submartingale and its compensator
A. A. Gushchin
Principle Seminar of the Department of Probability Theory, Moscow State University
February 15, 2017 16:45
8. О характеризации множества возможных терминальных распределений некоторых наборов случайных процессов
A. A. Gushchin
Traditional winter session MIAN–POMI devoted to the topic "Probability theory"
December 15, 2016 10:00
9. Совместное распределение терминальных значений неотрицательного субмартингала и его компенсатора
A. A. Gushchin
Seminar of the Department of Probability Theory "Stochastic Analysis: Theory and Applications", Steklov Mathematical Institute of RAS
October 13, 2016 13:00
10. From the Skorokhod embedding problem to the Monroe theorems: New settings and solutions
A. A. Gushchin
Principle Seminar of the Department of Probability Theory, Moscow State University
October 28, 2015 16:45
11. On some aspects of the utility maximization problem
A. A. Gushchin
School on Stochastics and Financial Mathematics
September 9, 2015 15:30   
12. On the inequalities connecting Hellinger processes and some statistical distances
A. A. Gushchin
Conference "Stochastics, Statistics, Financial Mathematics" in honor of Professor Albert Shiryaev's 80th anniversary
October 14, 2014 16:00   
13. On embedding of processes
A. A. Gushchin
Advances in Stochastic Analysis
September 3, 2014 12:00   
14. On a connection between superhedging prices and the dual problem in utility maximization
Alexander Gushchin
International conference "Advanced Finance and Stochastics"
June 28, 2013 12:30   
15. On a structure of a minimax test in testing composite hypotheses
Alexander Gushchin
International conference "Stochastic Optimization and Optimal Stopping"
September 24, 2012 13:10   
16. Some functional analytic problems related to the utility maximization problem
A. A. Gushchin
Traditional winter session MIAN–POMI devoted to the topic "Probability and Functional Analysis"
February 17, 2012 16:00   
17. On the structure of a maximin test in the problem of testing two composite hypotheses
A. A. Gushchin
Principle Seminar of the Department of Probability Theory, Moscow State University
October 26, 2011 16:45
18. Об одном свойстве обобщенных байесовских оценок в моделях, инвариантных относительно сдвига (послесловие к докладу А. Новикова и Н. Кордзахия)
A. A. Gushchin
Seminar of the Department of Probability Theory "Stochastic Analysis: Theory and Applications", Steklov Mathematical Institute of RAS
March 3, 2011 15:30
19. Utility maximization: a dual problem and connections with upper prices of hedging contingent claims
A. A. Gushchin
Principle Seminar of the Department of Probability Theory, Moscow State University
October 13, 2010 16:45
20. Двойственная характеризация цены в задаче максимизации робастной полезности
A. A. Gushchin
Seminar of the Department of Probability Theory "Stochastic Analysis: Theory and Applications", Steklov Mathematical Institute of RAS
December 10, 2009 15:30
21. О задаче максимизации робастной полезности
A. A. Gushchin
Seminar of the Department of Probability Theory "Stochastic Analysis: Theory and Applications", Steklov Mathematical Institute of RAS
December 7, 2006
22. О задаче максимизации полезности
A. A. Gushchin
Principle Seminar of the Department of Probability Theory, Moscow State University
November 2, 2005

Books in Math-Net.Ru
  1. Stochastic calculus, martingales, and their applications, Collected papers. Dedicated to Academician Albert Nikolaevich Shiryaev on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 287, ed. A. A. Gushchin, A. G. Sergeev, 2014, 319 с.
    http://mi.mathnet.ru/book1573

Organisations