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Convex concentration for some additive functionals of jump stochastic differential equations.

Authors :
Ma, Yutao
Privault, Nicolas
Source :
Acta Mathematica Sinica. Aug2013, Vol. 29 Issue 8, p1449-1458. 10p.
Publication Year :
2013

Abstract

Using forward-backward stochastic calculus, we prove convex concentration inequalities for some additive functionals of the solution of stochastic differential equations with jumps admitting an invariant probability measure. As a consequence, transportation-information inequalities are obtained and bounds on option prices for interest rate derivatives are given as an application. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14398516
Volume :
29
Issue :
8
Database :
Academic Search Index
Journal :
Acta Mathematica Sinica
Publication Type :
Academic Journal
Accession number :
88936704
Full Text :
https://doi.org/10.1007/s10114-013-2635-9