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  • library/doc/html/classbdm_1_1merger__base.html

    r614 r616  
    7474<p>Base class for general combination of pdfs on discrete support.   
    7575<a href="#_details">More...</a></p> 
     76<hr/><a name="_details"></a><h2>Detailed Description</h2> 
     77<p>Base class for general combination of pdfs on discrete support. </p> 
     78<p>Mixtures of Gaussian densities are used internally. Switching to other densities should be trivial.</p> 
     79<p>The merged pdfs are expected to be of the form: </p> 
     80<p class="formulaDsp"> 
     81<img class="formulaDsp" alt="\[ f(x_i|y_i), i=1..n \]" src="form_108.png"/> 
     82</p> 
     83<p> where the resulting merger is a density on <img class="formulaInl" alt="$ \cup [x_i,y_i] $" src="form_109.png"/> . Note that all variables will be joined.</p> 
     84<p>As a result of this feature, each source must be extended to common support </p> 
     85<p class="formulaDsp"> 
     86<img class="formulaDsp" alt="\[ f(z_i|y_i,x_i) f(x_i|y_i) f(y_i) i=1..n \]" src="form_110.png"/> 
     87</p> 
     88<p> where <img class="formulaInl" alt="$ z_i $" src="form_111.png"/> accumulate variables that were not in the original source. These extensions are calculated on-the-fly.</p> 
     89<p>However, these operations can not be performed in general. Hence, this class merges only sources on common support, <img class="formulaInl" alt="$ y_i={}, z_i={}, \forall i $" src="form_112.png"/>. For merging of more general cases, use offsprings <a class="el" href="classbdm_1_1merger__mix.html" title="Merger using importance sampling with mixture proposal density.">merger_mix</a> and merger_grid. </p> 
    7690 
    7791<p><code>#include &lt;<a class="el" href="merger_8h_source.html">merger.h</a>&gt;</code></p> 
     
    252266<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">default for beta <br/></td></tr> 
    253267</table> 
    254 <hr/><a name="_details"></a><h2>Detailed Description</h2> 
    255 <p>Base class for general combination of pdfs on discrete support. </p> 
    256 <p>Mixtures of Gaussian densities are used internally. Switching to other densities should be trivial.</p> 
    257 <p>The merged pdfs are expected to be of the form: </p> 
    258 <p class="formulaDsp"> 
    259 <img class="formulaDsp" alt="\[ f(x_i|y_i), i=1..n \]" src="form_108.png"/> 
    260 </p> 
    261 <p> where the resulting merger is a density on <img class="formulaInl" alt="$ \cup [x_i,y_i] $" src="form_109.png"/> . Note that all variables will be joined.</p> 
    262 <p>As a result of this feature, each source must be extended to common support </p> 
    263 <p class="formulaDsp"> 
    264 <img class="formulaDsp" alt="\[ f(z_i|y_i,x_i) f(x_i|y_i) f(y_i) i=1..n \]" src="form_110.png"/> 
    265 </p> 
    266 <p> where <img class="formulaInl" alt="$ z_i $" src="form_111.png"/> accumulate variables that were not in the original source. These extensions are calculated on-the-fly.</p> 
    267 <p>However, these operations can not be performed in general. Hence, this class merges only sources on common support, <img class="formulaInl" alt="$ y_i={}, z_i={}, \forall i $" src="form_112.png"/>. For merging of more general cases, use offsprings <a class="el" href="classbdm_1_1merger__mix.html" title="Merger using importance sampling with mixture proposal density.">merger_mix</a> and merger_grid. </p> 
    268268<hr/><h2>Member Function Documentation</h2> 
    269269<a class="anchor" id="a021acbf1a6e3bfde2a1b9c1c73cea6e0"></a><!-- doxytag: member="bdm::merger_base::mean" ref="a021acbf1a6e3bfde2a1b9c1c73cea6e0" args="() const " --> 
     
    298298</ul> 
    299299</div> 
    300 <hr size="1"/><address style="text-align: right;"><small>Generated on Sun Sep 13 22:40:44 2009 for mixpp by&nbsp; 
     300<hr size="1"/><address style="text-align: right;"><small>Generated on Sun Sep 13 23:08:56 2009 for mixpp by&nbsp; 
    301301<a href="http://www.doxygen.org/index.html"> 
    302302<img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.6.1 </small></address>