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<title>Description of beta_rnd</title>
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<meta name="description" content="PURPOSE: random draws from the beta(a,b) distribution">
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<h1>beta_rnd
</h1>
<h2><a name="_name"></a>PURPOSE <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
<div class="box"><strong>PURPOSE: random draws from the beta(a,b) distribution</strong></div>
<h2><a name="_synopsis"></a>SYNOPSIS <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
<div class="box"><strong>function rnd = beta_rnd (n, a, b) </strong></div>
<h2><a name="_description"></a>DESCRIPTION <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
<div class="fragment"><pre class="comment"> PURPOSE: random draws from the beta(a,b) distribution
--------------------------------------------------------------
USAGE: rnd = beta_rnd(n,a,b)
where: n = size of the vector of draws
a = beta distribution parameter, a = scalar
b = beta distribution parameter b = scalar
NOTE: mean = a/(a+b), variance = ab/((a+b)*(a+b)*(a+b+1))
--------------------------------------------------------------
RETURNS: n-vector of random draws from the beta(a,b) distribution
--------------------------------------------------------------
SEE ALSO: beta_d, beta_pdf, beta_inv, <a href="beta_rnd.html" class="code" title="function rnd = beta_rnd (n, a, b)">beta_rnd</a>
--------------------------------------------------------------</pre></div>
<!-- crossreference -->
<h2><a name="_cross"></a>CROSS-REFERENCE INFORMATION <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
This function calls:
<ul style="list-style-image:url(../matlabicon.gif)">
<li><a href="gamm_rnd.html" class="code" title="function gb = gamm_rnd(nrow,m,k)">gamm_rnd</a> PURPOSE: a matrix of random draws from the gamma distribution</li></ul>
This function is called by:
<ul style="list-style-image:url(../matlabicon.gif)">
<li><a href="rndprior.html" class="code" title="function y = rndprior(bayestopt_)">rndprior</a> </li></ul>
<!-- crossreference -->
<h2><a name="_source"></a>SOURCE CODE <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
<div class="fragment"><pre>0001 <a name="_sub0" href="#_subfunctions" class="code">function rnd = beta_rnd (n, a, b)</a>
0002 <span class="comment">% PURPOSE: random draws from the beta(a,b) distribution</span>
0003 <span class="comment">%--------------------------------------------------------------</span>
0004 <span class="comment">% USAGE: rnd = beta_rnd(n,a,b)</span>
0005 <span class="comment">% where: n = size of the vector of draws</span>
0006 <span class="comment">% a = beta distribution parameter, a = scalar</span>
0007 <span class="comment">% b = beta distribution parameter b = scalar</span>
0008 <span class="comment">% NOTE: mean = a/(a+b), variance = ab/((a+b)*(a+b)*(a+b+1))</span>
0009 <span class="comment">%--------------------------------------------------------------</span>
0010 <span class="comment">% RETURNS: n-vector of random draws from the beta(a,b) distribution</span>
0011 <span class="comment">%--------------------------------------------------------------</span>
0012 <span class="comment">% SEE ALSO: beta_d, beta_pdf, beta_inv, beta_rnd</span>
0013 <span class="comment">%--------------------------------------------------------------</span>
0014
0015 <span class="comment">% written by:</span>
0016 <span class="comment">% James P. LeSage, Dept of Economics</span>
0017 <span class="comment">% University of Toledo</span>
0018 <span class="comment">% 2801 W. Bancroft St,</span>
0019 <span class="comment">% Toledo, OH 43606</span>
0020 <span class="comment">% jlesage@spatial-econometrics.com</span>
0021
0022
0023 <span class="keyword">if</span> (nargin ~= 3)
0024 error(<span class="string">'Wrong # of arguments to beta_rnd'</span>);
0025 <span class="keyword">end</span>;
0026
0027 <span class="keyword">if</span> any(any((a&lt;=0)|(b&lt;=0)))
0028 error(<span class="string">'Parameter a or b is nonpositive'</span>)
0029 <span class="keyword">end</span>
0030
0031 a1n = <a href="gamm_rnd.html" class="code" title="function gb = gamm_rnd(nrow,m,k)">gamm_rnd</a>(n,a,1);
0032 a1d = <a href="gamm_rnd.html" class="code" title="function gb = gamm_rnd(nrow,m,k)">gamm_rnd</a>(n,b,1);
0033 rnd = a1n./(a1n+a1d);
0034</pre></div>
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