On the computation of F-cumulative probabilities
作者:
Carl M.-S. Lee,
期刊:
Communications in Statistics - Simulation and Computation
(Taylor Available online 1988)
卷期:
Volume 17,
issue 4
页码: 1191-1201
ISSN:0361-0918
年代: 1988
DOI:10.1080/03610918808812720
出版商: Marcel Dekker, Inc.
关键词: F-distribution;algorithm;recursive formula;Incomplete beta function
数据来源: Taylor
摘要:
A recursive formula for evaluating incomplete beta integral is obtained by reducing both parameters simultaneously. Applying this identity, we derive an exact expression for F-cumulative probabilities. An algorithm is then derived by using this expression. Results from a single-precision FORTRAN program by using this algorithm are compared with that using MDFD subroutine of IMSL in both of accuracy and speed for degrees of freedom 1 lsequal; m, n $lsequal; 500. It is seen that both results coincide with at least 11 significant digits, and the new algorithm is consistently faster than MDFD by 10 to 15 percent.
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