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Malliavin regularity of solutions to mixed stochastic differential equations.

Authors :
Shevchenko, Georgiy
Shalaiko, Taras
Source :
Statistics & Probability Letters. Dec2013, Vol. 83 Issue 12, p2638-2646. 9p.
Publication Year :
2013

Abstract

Abstract: 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. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
01677152
Volume :
83
Issue :
12
Database :
Academic Search Index
Journal :
Statistics & Probability Letters
Publication Type :
Periodical
Accession number :
91599842
Full Text :
https://doi.org/10.1016/j.spl.2013.08.013