ALGORITHM-708 - SIGNIFICANT DIGIT COMPUTATION OF THE INCOMPLETE BETA-FUNCTION RATIOS

被引:15
作者
DIDONATO, AR [1 ]
MORRIS, AH [1 ]
机构
[1] USN,CTR SURFACE WARFARE,DAHLGREN,VA 22448
来源
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE | 1992年 / 18卷 / 03期
关键词
CONTINUED FRACTIONS; F-DISTRIBUTION; MINIMAX APPROXIMATIONS;
D O I
10.1145/131766.131776
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
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.
引用
收藏
页码:360 / 373
页数:14
相关论文
共 11 条
  • [1] Abramowitz M., 1965, HDB MATH FUNCTIONS
  • [2] AMOS DE, 1969, SCDR69591 SAND LAB R
  • [3] Continued fractions for the incomplete Beta function
    Aroian, LA
    [J]. ANNALS OF MATHEMATICAL STATISTICS, 1941, 12 : 218 - 223
  • [4] COMPUTATION OF THE INCOMPLETE GAMMA-FUNCTION RATIOS AND THEIR INVERSE
    DIDONATO, AR
    MORRIS, AH
    [J]. ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1986, 12 (04): : 377 - 393
  • [5] DIDONATO AR, 1988, NSWC TR88365 NAV SUR
  • [6] HENRICI P, 1974, APPLIED COMPUTATIONA, V1
  • [7] MORRIS AH, 1990, NSWC TR9021 NAV SURF
  • [8] POURAHMADI M, 1984, AM MATH MON, P303
  • [9] CONTINUED FRACTIONS FOR THE INCOMPLETE BETA FUNCTION - ADDITIONS AND CORRECTIONS
    TRETTER, MJ
    WALSTER, GW
    [J]. ANNALS OF STATISTICS, 1979, 7 (02) : 462 - 465
  • [10] WALL HS, 1948, ANAL THEORY CONTINUE