Efficient algorithms for the inversion of the cumulative central beta distribution

Published 11 May 2016 in math.NA, cs.NA, and math.CA | (1605.03503v1)

Abstract: Accurate and efficient algorithms for the inversion of the cumulative central beta distribution are described. The algorithms are based on the combination of a fourth-order fixed point method with good non-local convergence properties (the Schwarzian-Newton method), asymptotic inversion methods and sharp bounds in the tails of the distribution function.

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