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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.The authors acknowledge financial support from Ministerio de Economía y\udCompetitividad, project MTM2012-34787. NMT thanks CWI, Amsterdam,\udfor scientific support

Efficient algorithms for the inversion of the cumulative central beta distribution