Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 10, Issue 2


Published
on

March 9, 2015


Pages

11-20


DOI

Article

Tractability of Monte Carlo Integration in Hermite Spaces


Authors

Christian Irrgeher Affiliation:
Department of Financial Mathematics and Applied Number Theory Johannes Kepler University Linz Altenberger Strasse 69 4040 Linz AUSTRIA


Abstract

We consider multivariate integration in the randomized setting. The function spaces which we study are defined on Rs with respect to the Gauss- ian measure and the functions are characterized by the decay of their Hermite coefficients. We study tractability of Monte Carlo integration and give necessary and sufficient conditions to achieve tractability.


Keywords

Monte Carlo integration, Tractability, Hermite space.


Citation

Irrgeher, C. (2015). Tractability of monte carlo integration in hermite spaces. Uniform Distribution Theory, 10(2), 11–20.

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