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Georgiy Shevchenko
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Year
The rate of convergence for Euler approximations of solutions of stochastic differential equations driven by fractional Brownian motion
Y Mishura, G Shevchenko
Stochastics An International Journal of Probability and Stochastic Processes …, 2008
692008
Existence and Uniqueness of the Solution of Stochastic Differential Equation Involving Wiener Process and Fractional Brownian Motion with Hurst Index H> 1/2
YS Mishura, GM Shevchenko
Communications in Statistics-Theory and Methods 40 (19-20), 3492-3508, 2011
602011
Fractional Brownian motion in a nutshell
G Shevchenko
arXiv preprint arXiv:1406.1956, 2014
532014
Mixed stochastic differential equations with long-range dependence: existence, uniqueness and convergence of solutions
Y Mishura, G Shevchenko
Computers & Mathematics with Applications 64 (10), 3217-3227, 2011
452011
Mixed fractional stochastic differential equations with jumps
G Shevchenko
Stochastics An International Journal of Probability and Stochastic Processes …, 2014
292014
Mixed stochastic delay differential equations
G Shevchenko
Theory of Probability and Mathematical Statistics 89, 181-195, 2014
282014
Approximation schemes for stochastic differential equations in Hilbert space
YS Mishura, GM Shevchenko
Theory of Probability and its Applications 51, 442, 2007
282007
Asymptotic behavior of mixed power variations and statistical estimation in mixed models
M Dozzi, Y Mishura, G Shevchenko
Statistical Inference for Stochastic Processes 18 (2), 151-175, 2015
26*2015
Theory and Statistical Applications of Stochastic Processes
Y Mishura, G Shevchenko
John Wiley & Sons, 2017
25*2017
Path properties of multifractal Brownian motion
KV Ral’chenko, GM Shevchenko
Journal: Theor. Probability and Math. Statist. No 80, 119-130, 2010
192010
Fractionally integrated inverse stable subordinators
A Iksanov, Z Kabluchko, A Marynych, G Shevchenko
Stochastic Processes and their Applications 127 (1), 80-106, 2017
162017
Stochastic viability and comparison theorems for mixed stochastic differential equations
A Melnikov, Y Mishura, G Shevchenko
Methodology and computing in applied probability 17 (1), 169-188, 2015
162015
Asymptotic properties of drift parameter estimator based on discrete observations of stochastic differential equation driven by fractional Brownian motion
Y Mishura, K Ral’chenko, O Seleznev, G Shevchenko
Modern Stochastics and Applications, 303-318, 2014
152014
Random variables as pathwise integrals with respect to fractional Brownian motion
Y Mishura, G Shevchenko, E Valkeila
Stochastic Processes and their Applications 123 (6), 2353-2369, 2013
152013
Rate of convergence of Euler approximations of solution to mixed stochastic differential equation involving Brownian motion and fractional Brownian motion
Y Mishura, G Shevchenko
Random Operators and Stochastic Equations 19 (4), 387-406, 2011
142011
Real harmonizable multifractional stable process and its local properties
M Dozzi, G Shevchenko
Stochastic Processes and their Applications 121 (7), 1509-1523, 2011
142011
Existence and uniqueness of a mild solution to the stochastic heat equation with white and fractional noises
Y Mishura, K Ralchenko, G Shevchenko
Theory of Probability and Mathematical Statistics 98, 149-170, 2019
132019
Heat equation in a multidimensional domain with a general stochastic measure
I Bodnarchuk, G Shevchenko
Theory of Probability and Mathematical Statistics 93, 1-17, 2016
132016
Malliavin regularity of solutions to mixed stochastic differential equations
G Shevchenko, T Shalaiko
Statistics & Probability Letters 83 (12), 2638-2646, 2013
132013
Wave equation with a stable noise
L Pryhara, G Shevchenko
Theory of Probability and Mathematical Statistics 96, 145-157, 2017
122017
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