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Gushchin Alexander Alexandrovich
(recent publications)
| by years | scientific publications | by types |

1. A. A. Gushchin, “The joint law of terminal values of a nonnegative submartingale and its compensator”, Teor. Veroyatnost. i Primenen., 62:2 (2017), 267–291  mathnet  crossref  mathscinet  elib
2. 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  crossref

3. 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  scopus

4. 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
5. Alexander A. Gushchin, Stochastic calculus for quantitative finance, ISTE, London; Elsevier, Kidlington, 2015 , 208 pp. www.sciencedirect.com/science/book/9781785480348  mathscinet  zmath
6. A. A. Guschin, M. A. Urusov, “Protsessy, vkladyvayuschiesya v geometricheskoe brounovskoe dvizhenie”, TVP, 60:2 (2015), 248–271  mathnet  crossref  mathscinet  zmath  elib; A. A. Gushchin, M. A. Urusov, “Processes that can be embedded in a geometric Brownian motion”, Theory Probab. Appl., 60:2 (2016), 246–262  crossref  mathscinet  zmath  isi  elib  scopus

7. 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
8. 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
9. 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 (cited: 2)  zmath  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 3)
10. Stokhasticheskoe ischislenie, martingaly i ikh primeneniya, Sbornik statei. K 80-letiyu so dnya rozhdeniya akademika Alberta Nikolaevicha Shiryaeva, Tr. MIAN, 287, ed. A. A. Guschin, A. G. Sergeev, MAIK, M., 2014 , 319 pp.  mathnet

11. 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
12. 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 (cited: 1)  elib (cited: 1)  scopus (cited: 1)
13. 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
14. 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

15. 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

16. A. A. Gushchin, U. Küchler, “On estimation of delay location”, Stat. Inference Stoch. Process., 14:3 (2011), 273–305  crossref  mathscinet (cited: 2)  zmath  elib (cited: 2)  scopus (cited: 2)

17. A. A. Guschin, “Maksimizatsiya poleznosti na nekotorykh rynkakh, dopuskayuschikh arbitrazh”, TVP, 55:3 (2010), 613  mathnet  crossref  elib; A. A. Gushchin, “Utility maximization in some markets admitting arbitrage”, Theory Probab. Appl., 55:3 (2011), 548  crossref  isi
18. A. A. Guschin, “Dvoistvennaya kharakterizatsiya tseny v zadache maksimizatsii robastnoi poleznosti”, TVP, 55:4 (2010), 680–704  mathnet (cited: 2)  crossref  mathscinet (cited: 2)  elib; A. A. Gushchin, “Dual characterization of the value function in the robust utility maximization problem”, Theory Probab. Appl., 55:4 (2011), 611–630  crossref  mathscinet (cited: 1)  zmath  isi (cited: 2)  elib (cited: 1)  scopus (cited: 2)
19. Yu. S. Mishura, A. A. Guschin, “Mezhdunarodnaya konferentsiya “Sovremennaya stokhastika: teoriya i primeneniya II””, TVP, 55:4 (2010), 822–823  mathnet  crossref  elib; Yu. S. Mishura, A. A. Gushchin, “International Conference “Modern Stochastics: Theory and Applications II””, Theory Probab. Appl., 55:4 (2011), 732  mathscinet (cited: 12)

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