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    9494</pre></div><p> Off-line estimation is implemented by method </p> 
    9595<div class="fragment"><pre class="fragment"> <span class="keywordtype">void</span> bayesB(mat D) 
    96 </pre></div><p>As an intermediate product, the bayes rule computes marginal likelihood of the data records <img class="formulaInl" alt="$ f(D) $" src="form_103.png"/>. Numerical value of this quantity which is important e.g. for model selection can be obtained by calling method <code>_ll()</code>.</p> 
     96</pre></div><p>As an intermediate product, the bayes rule computes marginal likelihood of the data records <img class="formulaInl" alt="$ f(D) $" src="form_114.png"/>. Numerical value of this quantity which is important e.g. for model selection can be obtained by calling method <code>_ll()</code>.</p> 
    9797<h2><a class="anchor" id="epdf"> 
    9898Getting results from BM</a></h2> 
     
    123123<p>The latter class is used to identify how symbolic variables are to be combined together. For example, consider the task of composition of pdfs via the chain rule: </p> 
    124124<p class="formulaDsp"> 
    125 <img class="formulaDsp" alt="\[ f(a,b,c) = f(a|b,c) f(b) f(c) \]" src="form_104.png"/> 
     125<img class="formulaDsp" alt="\[ f(a,b,c) = f(a|b,c) f(b) f(c) \]" src="form_115.png"/> 
    126126</p> 
    127 <p> In our setup, <img class="formulaInl" alt="$ f(a|b,c) $" src="form_105.png"/> is represented by an <code>mpdf</code> while <img class="formulaInl" alt="$ f(b) $" src="form_106.png"/> and <img class="formulaInl" alt="$ f(c) $" src="form_107.png"/> by two <code>epdfs</code>. We need to distinguish the latter two from each other and to deside in which order they should be added to the mpdf. This distinction is facilitated by the class <code>RV</code> which uniquely identify a random varibale.</p> 
     127<p> In our setup, <img class="formulaInl" alt="$ f(a|b,c) $" src="form_116.png"/> is represented by an <code>mpdf</code> while <img class="formulaInl" alt="$ f(b) $" src="form_117.png"/> and <img class="formulaInl" alt="$ f(c) $" src="form_118.png"/> by two <code>epdfs</code>. We need to distinguish the latter two from each other and to deside in which order they should be added to the mpdf. This distinction is facilitated by the class <code>RV</code> which uniquely identify a random varibale.</p> 
    128128<p>Therefore, each pdf keeps record on which RVs it represents; <code>epdf</code> needs to know only one <code>RV</code> stored in the attribute <code>rv</code>; <code>mpdf</code> needs to keep two <code>RVs</code>, one for variable on which it is defined (<code>rv</code>) and one for variable incondition which is stored in attribute <code>rvc</code>. </p> 
    129129</div> 
    130 <hr size="1"/><address style="text-align: right;"><small>Generated on Sun Aug 30 22:10:49 2009 for mixpp by&nbsp; 
     130<hr size="1"/><address style="text-align: right;"><small>Generated on Tue Sep 8 22:11:32 2009 for mixpp by&nbsp; 
    131131<a href="http://www.doxygen.org/index.html"> 
    132132<img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.6.1 </small></address>