ASA063
the Incomplete Beta Function

ASA063 is a MATLAB program which evaluates the incomplete Beta function, by KL Majumder and G Bhattacharjee.

ASA063 is Applied Statistics Algorithm 63. Source code for many Applied Statistics Algorithms is available through STATLIB.

Licensing:

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

Languages:

ASA063 is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.

Related Data and Programs:

asa063_test

ASA109, a MATLAB library which inverts the incomplete Beta function.

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

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

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

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

TOMS708, a FORTRAN90 library which evaluates the incomplete Beta function.

Author:

Original FORTRAN77 version by KL Majumder, GP Bhattacharjee; MATLAB version by John Burkardt.

Reference:

1. KL Majumder, GP Bhattacharjee,
   Algorithm AS 63: The incomplete Beta Integral,
   Applied Statistics,
   Volume 22, Number 3, 1973, pages 409-411.

Source Code:

• alogam.m computes the logarithm of the Gamma function.
• beta_inc_values.m returns some values of the incomplete Beta function.
• betain.m computes the incomplete Beta function ratio.
• timestamp.m prints out the current YMDHMS date as a timestamp.