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Algorithm 708: Significant Digit Computation of the Incomplete Beta Function Ratios

ACM Transactions on Mathematical Software (TOMS) (1992) 18(3) 360-373
DOI: 10.1145/131766.131776
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Abstract

An algorithm is given for evaluating the incomplete beta function ratio Ix1992 and its complement 1 - Ix(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. © 1992, ACM. All rights reserved.

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Didonato, A. R., & Morris, A. H. (1992). Algorithm 708: Significant Digit Computation of the Incomplete Beta Function Ratios. ACM Transactions on Mathematical Software (TOMS), 18(3), 360–373. https://doi.org/10.1145/131766.131776

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