ASA063
the Incomplete Beta Function

ASA063 is a Python library 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:

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

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

Author:

Original FORTRAN77 version by KL Majumder, GP Bhattacharjee; Python 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.py computes the logarithm of the Gamma function.
• beta_inc_values.py returns some values of the incomplete Beta function.
• betain.py computes the incomplete Beta function ratio.
• gamma_log_values.py returns some values of the logarithm of the Gamma function.
• timestamp.py prints out the current YMDHMS date as a timestamp.

Examples and Tests:

• asa063_test.py, calls all the tests.
• asa063_test.sh, runs all the tests.
• asa063_test.txt, the output file.

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