## BRATIO

swMATH ID: | 4402 |

Software Authors: | Alfred H. Morris, Jr.; Armido R. Didonato |

Description: | Algorithm 708: Significant digit computation of the incomplete beta function ratios. An algorithm is given for evaluating the incomplete beta function ratio Ix(a,b) 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. |

Homepage: | http://dl.acm.org/citation.cfm?id=131776 |

Keywords: | \(F\)-distribution; incomplete beta function; algorithm 708; continued fraction |

Related Software: | DCDFLIB; Maple; DLMF; ASA109; GammaCHI; AS 64; Algorithm 724; AS 109; Cephes; CTAN; Diehard; PERL; Algorithm 524; Algorithm 693; Algorithm 786; Algorithm 814; Mathematica; NSWC; ADIFOR; LLDRLF |

Referenced in: | 10 Publications |

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### Referenced by 20 Authors

### Referenced in 5 Serials

5 | ACM Transactions on Mathematical Software |

1 | Mathematics of Computation |

1 | Numerical Algorithms |

1 | European Journal of Operational Research |

1 | ETNA. Electronic Transactions on Numerical Analysis |

### Referenced in 5 Fields

9 | Numerical analysis (65-XX) |

7 | Special functions (33-XX) |

3 | Statistics (62-XX) |

1 | Approximations and expansions (41-XX) |

1 | Operations research, mathematical programming (90-XX) |