An optimal polynomial approximation of Brownian motion

In this paper, we will present a strong (or pathwise) approximation of standard Brownian motion by a class of orthogonal polynomials. The coefficients that are obtained from the expansion of Brownian motion in this polynomial basis are independent Gaussian random variables. Therefore, it is practica...

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Váldodahkkit: Foster, J, Lyons, T, Oberhauser, H
Materiálatiipa: Journal article
Giella:English
Almmustuhtton: Society for Industrial and Applied Mathematics 2020