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<html>
<head>
<title>
BETA_NC - CDF of Noncentral Beta Distribution.
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
BETA_NC <br> CDF of Noncentral Beta Distribution.
</h1>
<hr>
<p>
<b>BETA_NC</b>
is a C++ library which
evaluates the cumulative distribution function (CDF) of
the noncentral Beta distribution.
</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>BETA_NC</b> is available in
<a href = "../../c_src/beta_nc/beta_nc.html">a C version</a> and
<a href = "../../cpp_src/beta_nc/beta_nc.html">a C++ version</a> and
<a href = "../../f77_src/beta_nc/beta_nc.html">a FORTRAN77 version</a> and
<a href = "../../f_src/beta_nc/beta_nc.html">a FORTRAN90 version</a> and
<a href = "../../m_src/beta_nc/beta_nc.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/asa109/asa109.html">
ASA109</a>,
a C++ library which
inverts the incomplete Beta function.
</p>
<p>
<a href = "../../cpp_src/asa226/asa226.html">
ASA226</a>,
a C++ library which
computes 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/cdflib/cdflib.html">
CDFLIB</a>,
a C++ library which
evaluates the cumulative density function (CDF), inverse CDF,
and certain other inverse functions, for distributions including
beta, binomial, chi-square, noncentral chi-square, F, noncentral F,
gamma, negative binomial, normal, Poisson, and students T,
by Barry Brown, James Lovato, Kathy Russell.
</p>
<p>
<a href = "../../cpp_src/gsl/gsl.html">
GSL</a>,
a C++ library which
includes many routines for evaluating
probability distributions.
</p>
<p>
<a href = "../../cpp_src/prob/prob.html">
PROB</a>,
a C++ library which
evaluates and inverts a number of probabilistic distributions.
</p>
<p>
<a href = "../../cpp_src/test_values/test_values.html">
TEST_VALUES</a>,
a C++ library which
contains sample values for a number of distributions.
</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">
Reference:
</h3>
<p>
<ol>
<li>
Harry Posten,<br>
An Effective Algorithm for the Noncentral Beta Distribution Function,<br>
The American Statistician,<br>
Volume 47, Number 2, May 1993, pages 129-131.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "beta_nc.cpp">beta_nc.cpp</a>, the source code.
</li>
<li>
<a href = "beta_nc.hpp">beta_nc.hpp</a>, the include file.
</li>
<li>
<a href = "beta_nc.sh">beta_nc.sh</a>,
commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "beta_nc_prb.cpp">beta_nc_prb.cpp</a>,
a sample calling program.
</li>
<li>
<a href = "beta_nc_prb.sh">beta_nc_prb.sh</a>,
commands to compile and run the sample program.
</li>
<li>
<a href = "beta_nc_prb_output.txt">beta_nc_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>ALOGAM</b> computes the logarithm of the Gamma function.
</li>
<li>
<b>BETA_NONCENTRAL_CDF</b> evaluates the noncentral Beta CDF.
</li>
<li>
<b>BETA_NONCENTRAL_CDF_VALUES</b> returns some values of the noncentral Beta CDF.
</li>
<li>
<b>BETAIN</b> computes the incomplete Beta function ratio.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</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 29 January 2008.
</i>
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