TOMS708
Incomplete Beta Function Ratios


TOMS708 is a FORTRAN90 library which computes the Incomplete Beta Function ratio


        Ix(a,b)
      

11 January 2006: Thanks to Ian Smith for pointing out that my earlier difficulties with this program were caused simply by using the wrong set of machine constants!

The original, true, correct version of ACM TOMS Algorithm 708 is available through ACM: http://www.acm.org/pubs/calgo or NETLIB: http://www.netlib.org/toms/index.html.

The version displayed here has been converted to FORTRAN90, and other internal changes have been made to suit me.

Languages:

TOMS708 is available in a FORTRAN90 version.

Related Data and Programs:

ASA063 is a FORTRAN90 library which evaluates the incomplete Beta function.

ASA109 is a FORTRAN90 library which inverts the incomplete Beta function.

ASA226 is a FORTRAN90 library which computes the CDF of the noncentral Beta distribution.

ASA310 is a FORTRAN90 library which computes the CDF of the noncentral Beta distribution.

BETA_NC is a FORTRAN90 library which evaluates the CDF of the noncentral Beta distribution.

TEST_VALUES is a FORTRAN90 library which stores a few values of various mathematical functions.

TOMS179 is a FORTRAN90 library which approximates the incomplete Beta function.

Reference:

  1. Armido Didonato, Alfred Morris, Jr,
    Algorithm 708: Significant Digit Computation of the Incomplete Beta Function Ratios,
    ACM Transactions on Mathematical Software,
    Volume 18, Number 3, pages 360-373, 1992.

Source Code:

Examples and Tests:

List of Routines:

You can go up one level to the FORTRAN90 source codes.


Last revised on 08 January 2008.