Journal article

Malliavin Regularity Of Solutions To Mixed Stochastic Differential Equations

Year:

2013

Published in:

Statistics & Probability Letters
mixed stochastic differential equation (SDE)
fractional Brownian motion (fBm)
Malliavin derivative
exponential moments
long memory

For a mixed stochastic differential equation driven by independent fractional Brownian motions and Wiener processes, the existence and integrability of the Malliavin derivative of the solution are established. It is also proved that the solution possesses exponential moments.

Other publications by

80 publications found

2017
Journal article

Wave Equation With A Coloured Stable Noise

Publisher: Random Operators and Stochastic Equations

Authors: Georgiy Shevchenko, Larysa Pryhara

2013
Journal article

Approximation Of Random Variables By Functionals Of The Increments Of A Fractional Brownian Motion

Publisher: Theory of Probability and Mathematical Statistics

Authors: Georgiy Shevchenko, Taras Shalaiko

2015
Journal article

Convergence Of Solutions Of Mixed Stochastic Delay Differential Equations With Applications

Publisher: Applied Mathematics and Computation

Authors: Georgiy Shevchenko, Yulia Mishura, Taras Shalaiko

2022
Journal article

Tail Measures And Regular Variation

Publisher: Electronic Journal of Probability

Authors: Georgiy Shevchenko, Martin Bladt, Enkelejd Hashorva

2011
Working paper

Fractional And Multifractional Models In Finance

Publisher: Taras Shevchenko National University of Kyiv

Authors: Georgiy Shevchenko

2014
Book Chapter

On The Distribution Of Integral Functionals Of A Homogeneous Diffusion Process

Publisher: Bocconi & Springer Series

Authors: Georgiy Shevchenko, M. Perestyuk, Yulia Mishura

2022
Journal article

The Harmonic Mean Formula For Random Processes

Publisher: Stochastic Analysis and Applications

Authors: Georgiy Shevchenko, Enkelejd Hashorva, Krzysztof Bisewski

2016
Journal article

Approximations For A Solution To Stochastic Heat Equation With Stable Noise

Publisher: Modern Stochastics: Theory and Applications

Authors: Georgiy Shevchenko, Larysa Pryhara

2011
Journal article

Anatolii Volodymyrovych Skorokhod (1930–2011)

Publisher: Stochastic Processes and their Applications

Authors: Georgiy Shevchenko, Volodymyr Korolyuk, Yuriy Kozachenko, Yulia Mishura, Halyna Syta

2014
Book

Modern Stochastics And Applications

Publisher: Springer Cham

Authors: Georgiy Shevchenko, Volodymyr Korolyuk, Nikolaos Limnios, Yulia Mishura, Lyudmyla Sakhno