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<html>
<head>
<title>
ASA109 - Inverse of Incomplete Beta Function
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
ASA109 <br> Inverse of Incomplete Beta Function
</h1>
<hr>
<p>
<b>ASA109</b>
is a C++ library which
"inverts" the incomplete Beta function
by Cran, Martin and Thomas.
</p>
<p>
Given a value
of the incomplete Beta function, it can determine the argument that
produced that value.
</p>
<p>
<b>ASA109</b> is Applied Statistics Algorithm 109. Source code for many
Applied Statistics Algorithms is available through
<a href = "http://lib.stat.cmu.edu/apstat">STATLIB</a>.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>ASA109</b> is available in
<a href = "../../c_src/asa109/asa109.html">a C version</a> and
<a href = "../../cpp_src/asa109/asa109.html">a C++ version</a> and
<a href = "../../f77_src/asa109/asa109.html">a FORTRAN77 version</a> and
<a href = "../../f_src/asa109/asa109.html">a FORTRAN90 version</a> and
<a href = "../../m_src/asa109/asa109.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../cpp_src/asa063/asa063.html">
ASA063</a>,
a C++ library which
evaluates the incomplete Beta function.
</p>
<p>
<a href = "../../cpp_src/asa226/asa226.html">
ASA226</a>,
a C++ library which
evaluates the CDF of the noncentral Beta distribution.
</p>
<p>
<a href = "../../cpp_src/asa310/asa310.html">
ASA310</a>,
a C++ library which
computes the CDF of the noncentral Beta distribution.
</p>
<p>
<a href = "../../cpp_src/beta_nc/beta_nc.html">
BETA_NC</a>,
a C++ library which
evaluates the CDF of the noncentral Beta distribution.
</p>
<p>
<a href = "../../cpp_src/test_values/test_values.html">
TEST_VALUES</a>,
a C++ library which
stores a few values of various mathematical functions.
</p>
<p>
<a href = "../../cpp_src/toms179/toms179.html">
TOMS179</a>,
a C++ library which
evaluates the incomplete Beta function.
</p>
<p>
<a href = "../../f_src/toms708/toms708.html">
TOMS708</a>,
a FORTRAN90 library which
evaluates the incomplete Beta function.
</p>
<h3 align = "center">
Author:
</h3>
<p>
Original FORTRAN77 version by GW Cran, KJ Martin, GE Thomas;
C++ version by John Burkardt.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
GW Cran, KJ Martin, GE Thomas,<br>
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,<br>
Applied Statistics,<br>
Volume 26, Number 1, 1977, pages 111-114.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "asa109.cpp">asa109.cpp</a>, the source code.
</li>
<li>
<a href = "asa109.hpp">asa109.hpp</a>, the include file.
</li>
<li>
<a href = "asa109.sh">asa109.sh</a>,
commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "asa109_prb.cpp">asa109_prb.cpp</a>,
a sample calling program.
</li>
<li>
<a href = "asa109_prb.sh">asa109_prb.sh</a>,
commands to compile and run the sample program.
</li>
<li>
<a href = "asa109_prb_output.txt">asa109_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>BETAIN</b> computes the incomplete Beta function ratio.
</li>
<li>
<b>TIMESTAMP</b> prints out the current YMDHMS date as a timestamp.
</li>
<li>
<b>XINBTA</b> computes inverse of the incomplete Beta function.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../cpp_src.html">
the C++ source codes</a>.
</p>
<hr>
<i>
Last revised on 09 February 2008.
</i>
<!-- John Burkardt -->
</body>
<!-- Initial HTML skeleton created by HTMLINDEX. -->
</html>