The efficient calculation of the incomplete beta-function ratio for half-integer values of the parameters ๐,๐
Armido R. Didonato, M. P. Jarnagin ยท Mathematics of Computation ยท 1967
(6) 1/2 _ a < 108 1/2 ? b ? 60. The purpose in this paper is to describe an efficient procedure, primarily for use on a high-speed digital computer, for the computation of Ix(a, b) to high absolute accuracy, subject to constraints { 1 1 and { 2 1. The function Ix(a, b) is important in statistics because it can be directly related, or interpreted, in terms of basic probability functions such as the chi-square distribution, the F (variance ratio) distribution, Student's t distribution, and the dis-