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November 2009 Weak convergence of error processes in discretizations of stochastic integrals and Besov spaces
Stefan Geiss, Anni Toivola
Bernoulli 15(4): 925-954 (November 2009). DOI: 10.3150/09-BEJ197

Abstract

We consider weak convergence of the rescaled error processes arising from Riemann discretizations of certain stochastic integrals and relate the $L_p$-integrability of the weak limit to the fractional smoothness in the Malliavin sense of the stochastic integral.

Citation

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Stefan Geiss. Anni Toivola. "Weak convergence of error processes in discretizations of stochastic integrals and Besov spaces." Bernoulli 15 (4) 925 - 954, November 2009. https://doi.org/10.3150/09-BEJ197

Information

Published: November 2009
First available in Project Euclid: 8 January 2010

zbMATH: 1202.60078
MathSciNet: MR2597578
Digital Object Identifier: 10.3150/09-BEJ197

Keywords: approximation , Besov spaces , stochastic integrals , weak convergence

Rights: Copyright © 2009 Bernoulli Society for Mathematical Statistics and Probability

Vol.15 • No. 4 • November 2009
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