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 Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year Certification of algorithm 708: Significant-digit computation of the incomplete beta function ratios. Zbl 0890.65016Brown, B. W.; Levy, L. B. 1994 Algorithm 708: Significant digit computation of the incomplete beta function ratios. Zbl 0890.65015DiDonato, Armido R.; Morris, Alfred H. jun. 1992 all top 5 Referenced by 20 Authors 2 Brown, Barry W. 2 Levy, Lawrence B. 1 Bregman, Robert L. 1 DiDonato, Armido R. 1 Doman, Brian George Spencer 1 Gil, Amparo 1 Hao, Yonghong 1 L’Ecuyer, Pierre 1 Li, Junlin 1 Lovato, James 1 Lozier, Daniel W. 1 Morris, Alfred H. jun. 1 Olver, Frank William John 1 Russell, Kathy E. 1 Segura, Javier 1 Simard, Richard J. 1 Smith, David M. 1 Spears, Floyd M. 1 Temme, Nico M. 1 Wang, Tongke 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) Referencing Publications by Year