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arxiv: 1605.03503 · v1 · pith:H6L42JJ5new · submitted 2016-05-11 · 🧮 math.NA · cs.NA· math.CA

Efficient algorithms for the inversion of the cumulative central beta distribution

classification 🧮 math.NA cs.NAmath.CA
keywords algorithmsdistributioninversionbetacentralcumulativeefficientmethod
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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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