Fast <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mrow><mi mathvariant="italic">L</mi></mrow><mrow><mn>2</mn></mrow></msub></math>-approximation of integral-type functionals of Markov processes

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 coi...

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Bibliographic Details
Main Author: Iurii Ganychenko
Format: Article
Language:English
Published: VTeX 2015-07-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://vmsta.vtex.vmt/doi/10.15559/15-VMSTA29