An algorithm is given for evaluating the incomplete beta function ratio I x (a,b) and its complement 1 - I x (a,b) . A new continued fraction and a new asymptotic series are used with classical results. A transportable Fortran subroutine based on this algorithm is currently in use. It is accurate to 14 significant digits when precision is not restricted by inherent error.
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Didonato et al. (1992) studied this question.
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