ASA076
Owen's T Function

ASA076 is a FORTRAN77 library which evaluates Owen's T function, by Young and Minder.

ASA076 is Applied Statistics Algorithm 76. Source code for many Applied Statistics Algorithms is available through STATLIB.

Languages:

ASA076 is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

ASA005, a FORTRAN77 library which evaluates the CDF of the noncentral T distribution, and uses Owen's T function.

ASA243, a FORTRAN77 library which evaluates the CDF of the noncentral T distribution.

OWENS, a FORTRAN77 library which evaluates Owen's T function.

Reference:

1. Richard Boys,
   Remark AS R80: A Remark on Algorithm AS76: An Integral Useful in Calculating Noncentral T and Bivariate Normal Probabilities,
   Applied Statistics,
   Volume 38, Number 3, 1989, pages 580-582.
2. Youn-Min Chou,
   Remark AS R55: A Remark on Algorithm AS76: An Integral Useful in Calculating Noncentral T and Bivariate Normal Probabilities,
   Applied Statistics,
   Volume 34, Number 1, 1985, pages 100-101.
3. PW Goedhart, MJW Jansen,
   Remark AS R89: A Remark on Algorithm AS76: An Integral Useful in Calculating Noncentral T and Bivariate Normal Probabilities,
   Applied Statistics,
   Volume 41, Number 2, 1992, pages 496-497.
4. MA Porter, DJ Winstanley,
   Remark AS R30: A Remark on Algorithm AS76: An Integral Useful in Calculating Noncentral T and Bivariate Normal Probabilities,
   Applied Statistics,
   Volume 28, Number 1, 1979, page 113.
5. JC Young, Christoph Minder,
   Algorithm AS 76: An Algorithm Useful in Calculating Non-Central T and Bivariate Normal Distributions,
   Applied Statistics,
   Volume 23, Number 3, 1974, pages 455-457.

Author:

Original FORTRAN77 version by JC Young and Christoph Minder; This FORTRAN77 version by John Burkardt.

Source Code:

• asa076.f, the source code.
• asa076.sh, commands to compile the source code.

Examples and Tests:

• asa076_prb.f, a sample calling program.
• asa076_prb.sh, commands to compile and run the sample program.
• asa076_prb_output.txt, the output file.

List of Routines:

• ALNORM computes the cumulative density of the standard normal distribution.
• OWEN_VALUES returns some values of Owen's T function.
• TFN calculates the T-function of Owen.
• THA computes Owen's T function.
• TIMESTAMP prints out the current YMDHMS date as a timestamp.

You can go up one level to the FORTRAN77 source codes.