asa109

asa109, a FORTRAN77 code which inverts the incomplete Beta function by Cran, Martin and Thomas.

Given a value of the incomplete Beta function, it can determine the argument that produced that value.

This is a version of Applied Statistics Algorithm 109.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

asa109 is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

asa109_test

ASA063, a FORTRAN77 library which evaluates the incomplete Beta function.

ASA226, a FORTRAN77 library which evaluates the CDF of the noncentral Beta distribution.

ASA310, a FORTRAN77 library which computes the CDF of the noncentral Beta distribution.

BETA_NC, a FORTRAN77 library which evaluates the CDF of the noncentral Beta distribution.

TEST_VALUES, a FORTRAN77 library which stores a few values of various mathematical functions.

TOMS179, a FORTRAN77 library which evaluates the incomplete Beta function.

TOMS708, a FORTRAN77 library which evaluates the incomplete Beta function.

Author:

Original FORTRAN77 version by GW Cran, KJ Martin, GE Thomas; This version by John Burkardt.

Reference:

  1. GW Cran, KJ Martin, GE Thomas,
    Remark AS R19 and Algorithm AS 109: A Remark on Algorithms AS 63: The Incomplete Beta Integral and AS 64: Inverse of the Incomplete Beta Integeral,
    Applied Statistics,
    Volume 26, Number 1, 1977, pages 111-114.

Source Code:

Last revised on 23 August 2023.