Fast -approximation of integral-type functionals of Markov processes
Volume 2, Issue 2 (2015), pp. 165–171
Pub. online: 28 July 2015
Type: Research Article
Open Access
Received
8 July 2015
8 July 2015
Revised
20 July 2015
20 July 2015
Accepted
22 July 2015
22 July 2015
Published
28 July 2015
28 July 2015
Abstract
In this paper, we provide strong $L_{2}$-rates of approximation of the integral-type functionals of Markov processes by integral sums. We improve the method developed in [2]. Under assumptions on the process formulated only in terms of its transition probability density, we get the accuracy that coincides with that obtained in [3] for a one-dimensional diffusion process.
References
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