Affiliation:
1. U.S. Naval Surface Warfare Center
Abstract
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.
Publisher
Association for Computing Machinery (ACM)
Subject
Applied Mathematics,Software
Reference11 articles.
1. ABRAMOWiTZ M. AND 8TEGUN I. Ed~. Hq ndbook ofMathemc~tical Ft~nctions. Dover New York 1965. ABRAMOWiTZ M. AND 8TEGUN I. Ed~. Hq ndbook ofMathemc~tical Ft~nctions. Dover New York 1965.
2. A~os D. E. AND DANIEL S L. Significant digit incomplete beta ratios Rep. SC-DR-69-591 Sandia Laboratories Albuquerque N.M. 1969. A~os D. E. AND DANIEL S L. Significant digit incomplete beta ratios Rep. SC-DR-69-591 Sandia Laboratories Albuquerque N.M. 1969.
3. Continued fractions for the incomplete beta function;AROIAN L.A;Am. Math. Stat.,1941
4. Computation of the incomplete gamma function ratios and their inverse
Cited by
22 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献