Random bit quadrature and approximation of distributions on Hilbert Spaces

We study the approximation of expectations E(f(X)) for Gaussian random elements X with values in a separable Hilbert space H and Lipschitz continuous functionals f : H ! -> R. We consider restricted Monte Carlo algorithms, which may only use random bits instead of random numbers. We determine...

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Bibliographic Details
Main Authors: Giles, M, Hefter, M, Mayer, L, Ritter, K
Format: Journal article
Published: Springer US 2018