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<div><a href="../index.html">Home</a> &gt; <a href="index.html">.</a> &gt; recursive_moments.m</div>
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<h1>recursive_moments
</h1>
<h2><a name="_name"></a>PURPOSE <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
<div class="box"><strong>stephane.adjemian@cepremap.cnrs.fr [02-03-2005]</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 [mu,sigma] = recursive_moments(m0,s0,data,offset) </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"> stephane.adjemian@cepremap.cnrs.fr [02-03-2005]
m0 :: the initial mean, assumed to be a n*1 vector.
s0 :: the initial variance, assumed to be a n*n matrix.
data :: T*n matrix.
mu :: the sample mean, a n*1 vector.
sigma :: the sample covariance matrix, a n*n matrix.
--&gt; TODO: dll</pre></div>
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<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)">
</ul>
This function is called by:
<ul style="list-style-image:url(../matlabicon.gif)">
</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 [mu,sigma] = recursive_moments(m0,s0,data,offset)</a>
0002 <span class="comment">% stephane.adjemian@cepremap.cnrs.fr [02-03-2005]</span>
0003 <span class="comment">%</span>
0004 <span class="comment">% m0 :: the initial mean, assumed to be a n*1 vector.</span>
0005 <span class="comment">% s0 :: the initial variance, assumed to be a n*n matrix.</span>
0006 <span class="comment">% data :: T*n matrix.</span>
0007 <span class="comment">%</span>
0008 <span class="comment">% mu :: the sample mean, a n*1 vector.</span>
0009 <span class="comment">% sigma :: the sample covariance matrix, a n*n matrix.</span>
0010 <span class="comment">%</span>
0011 <span class="comment">% --&gt; TODO: dll</span>
0012 T = size(data,1);
0013 n = size(data,2);
0014
0015 <span class="keyword">for</span> t = 1:T
0016 tt = t+offset;
0017 m1 = m0 + (1/tt)*(data(t,:)'-m0);
0018 s1 = s0 + (1/tt)*(data(t,:)'*data(t,:)-m1*m1'-s0) + ((tt-1)/tt)*(m0*m0'-m1*m1');
0019 m0 = m1;
0020 s0 = s1;
0021 <span class="keyword">end</span>
0022
0023 mu = m1;
0024 sigma = s1;
0025
0026
0027
0028</pre></div>
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