DOI: 10.5176/2251-1911_CMCGS18

Authors: Mohammed Abutheraa

Abstract: In this paper I extend the idea of Brisebarre, Muller, Tisserand, and Chevillard on machine-efficient Chebyshev approximation. The extensions include standard statistical distribution functions, by which I mean: the normal distribution, the beta distribution, the F-distribution, and the Student’s tdistribution. I choose Chebyshev polynomials as they provide a good polynomial approximation.

Keywords: Chebyshev Polynomial;Computer Arithmetic; Computable Functions; Machine-Efficient Approximation; Standard Statistical Distribution Functions.

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