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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

2014, Volume 287

| General information | Contents |


Stochastic calculus, martingales, and their applications


Collected papers. Dedicated to Academician Albert Nikolaevich Shiryaev on the occasion of his 80th birthday

Albert Nikolaevich Shiryaev (photo)
Congratulatory address from the Steklov Institute to Albert Nikolaevich Shiryaev on the occasion of his 80th birthday
7
On some functional inequalities for skew Brownian motion
A. T. Abakirova
9
The stochastic field of aggregate utilities and its saddle conjugate
P. Bank, D. Kramkov
21
New approach to the segmentation problem for time series of arbitrary nature
B. S. Darhovsky, A. Piryatinska
61
Utility maximisation and utility indifference price for exponential semi-martingale models and HARA utilities
A. Ellanskaya, L. Vostrikova
75
Convergence of probability measures and Markov decision models with incomplete information
Eugene A. Feinberg, Pavlo O. Kasyanov, Michael Z. Zgurovsky
103
On pathwise counterparts of Doob's maximal inequalities
A. A. Gushchin
125
On the submartingale/supermartingale property of diffusions in natural scale
Alexander Gushchin, Mikhail Urusov, Mihail Zervos
129
Approximation of the solution of the backward stochastic differential equation. Small noise, large sample and high frequency cases
Yury A. Kutoyants
140
Sharp maximal inequalities for stochastic processes
Ya. A. Lyulko, A. N. Shiryaev
162
Multidimensional and abstract probability
V. M. Maximov
182
Two-sided disorder problem for a Brownian motion in a Bayesian setting
A. A. Muravlev, A. N. Shiryaev
211
Lower and upper bounds for prices of Asian-type options
A. A. Novikov, N. E. Kordzahia
234
Critical dimension in the semiparametric Bernstein–von Mises theorem
Maxim E. Panov, Vladimir G. Spokoiny
242
Characterization of density processes of deformed stochastic bases of the first kind
I. V. Pavlov, O. V. Nazarko
267
Nearly optimal sequential tests of composite hypotheses revisited
Alexander G. Tartakovsky
279
On the law of large numbers for martingales
P. A. Yaskov
300
On the existence of solutions of unbounded optimal stopping problems
M. V. Zhitlukhin, A. N. Shiryaev
310


© Steklov Math. Inst. of RAS, 2025