Rates of approximation of nonsmooth integral-type functionals of Markov processes

We provide strong $L_{p}$-rates of approximation of nonsmooth integral-type functionals of Markov processes by integral sums. Our approach is, in a sense, process insensitive and is based on a modification of some well-developed estimates from the theory of continuous additive functionals of Markov...

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Bibliographic Details
Main Authors: Iu. Ganychenko, A. Kulik
Format: Article
Language:English
Published: VTeX 2014-09-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://vmsta.vtex.vmt/doi/10.15559/vmsta-2014.12
Description
Summary:We provide strong $L_{p}$-rates of approximation of nonsmooth integral-type functionals of Markov processes by integral sums. Our approach is, in a sense, process insensitive and is based on a modification of some well-developed estimates from the theory of continuous additive functionals of Markov processes.
ISSN:2351-6046
2351-6054