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Fast inverse transform sampling in one and two dimensions

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arxiv 1307.1223 v1 pith:FYU6HMEE submitted 2013-07-04 math.NA cs.NAmath.PRmath.STstat.TH

Sheehan Olver , Alex Townsend This is my paper · ORCID
classification math.NAcs.NAmath.PRmath.STstat.TH
keywords algorithmapproximationchebyshevdimensionsinversesamplingtransformapproaches
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We develop a computationally efficient and robust algorithm for generating pseudo-random samples from a broad class of smooth probability distributions in one and two dimensions. The algorithm is based on inverse transform sampling with a polynomial approximation scheme using Chebyshev polynomials, Chebyshev grids, and low rank function approximation. Numerical experiments demonstrate that our algorithm outperforms existing approaches.

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Cited by 2 Pith papers

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