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      ASA076 - Owen's T Function
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      ASA076 <br> Owen's T Function
    </h1>

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    <p>
      <b>ASA076</b>
      is a FORTRAN77 library which
      evaluates Owen's T function,
      by Young and Minder.
    </p>

    <p>
      <b>ASA076</b> is Applied Statistics Algorithm 76.  Source code for many
      Applied Statistics Algorithms is available through
      <a href = "http://lib.stat.cmu.edu/apstat">STATLIB</a>.
    </p>

    <h3 align = "center">
      Languages:
    </h3>

    <p>
      <b>ASA076</b> is available in
      <a href = "../../c_src/asa076/asa076.html">a C version</a> and
      <a href = "../../cpp_src/asa076/asa076.html">a C++ version</a> and
      <a href = "../../f77_src/asa076/asa076.html">a FORTRAN77 version</a> and
      <a href = "../../f_src/asa076/asa076.html">a FORTRAN90 version</a> and
      <a href = "../../m_src/asa076/asa076.html">a MATLAB version.</a>
    </p>

    <h3 align = "center">
      Related Data and Programs:
    </h3>

    <p>
      <a href = "../../f77_src/asa005/asa005.html">
      ASA005</a>,
      a FORTRAN77 library which
      evaluates the CDF of the noncentral T distribution, and uses Owen's T function.
    </p>

    <p>
      <a href = "../../f77_src/asa243/asa243.html">
      ASA243</a>,
      a FORTRAN77 library which
      evaluates the CDF of the noncentral T distribution.
    </p>

    <p>
      <a href = "../../f77_src/owens/owens.html">
      OWENS</a>,
      a FORTRAN77 library which
      evaluates Owen's T function.
    </p>

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      Reference:
    </h3>

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

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      Author:
    </h3>

    <p>
      Original FORTRAN77 version by JC Young and Christoph Minder;
      This FORTRAN77 version by John Burkardt.
    </p>

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      Source Code:
    </h3>

    <p>
      <ul>
        <li>
          <a href = "asa076.f">asa076.f</a>, the source code.
        </li>
        <li>
          <a href = "asa076.sh">asa076.sh</a>,
          commands to compile the source code.
        </li>
      </ul>
    </p>

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      Examples and Tests:
    </h3>

    <p>
      <ul>
        <li>
          <a href = "asa076_prb.f">asa076_prb.f</a>,
          a sample calling program.
        </li>
        <li>
          <a href = "asa076_prb.sh">asa076_prb.sh</a>,
          commands to compile and run the sample program.
        </li>
        <li>
          <a href = "asa076_prb_output.txt">asa076_prb_output.txt</a>,
          the output file.
        </li>
      </ul>
    </p>

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      List of Routines:
    </h3>

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

    <p>
      You can go up one level to <a href = "../f77_src.html">
      the FORTRAN77 source codes</a>.
    </p>

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    <i>
      Last revised on 07 January 2008.
    </i>

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