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  • library/doc/html/classbdm_1_1eigamma.html

    r614 r616  
    7474<p>Inverse-Gamma posterior density.   
    7575<a href="#_details">More...</a></p> 
     76<hr/><a name="_details"></a><h2>Detailed Description</h2> 
     77<p>Inverse-Gamma posterior density. </p> 
     78<p>Multivariate inverse-Gamma density as product of independent univariate densities. </p> 
     79<p class="formulaDsp"> 
     80<img class="formulaDsp" alt="\[ f(x|\alpha,\beta) = \prod f(x_i|\alpha_i,\beta_i) \]" src="form_79.png"/> 
     81</p> 
     82<p>Vector <img class="formulaInl" alt="$\beta$" src="form_80.png"/> has different meaning (in fact it is 1/beta as used in definition of iG)</p> 
     83<p>Inverse Gamma can be converted to Gamma using </p> 
     84<p class="formulaDsp"> 
     85<img class="formulaDsp" alt="\[ x\sim iG(a,b) => 1/x\sim G(a,1/b) \]" src="form_81.png"/> 
     86</p> 
     87<p> This relation is used in sampling. </p> 
    7688 
    7789<p><code>#include &lt;<a class="el" href="exp__family_8h_source.html">exp_family.h</a>&gt;</code></p> 
    … …  
    193205<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Description of the random variable. <br/></td></tr> 
    194206</table> 
    195 <hr/><a name="_details"></a><h2>Detailed Description</h2> 
    196 <p>Inverse-Gamma posterior density. </p> 
    197 <p>Multivariate inverse-Gamma density as product of independent univariate densities. </p> 
    198 <p class="formulaDsp"> 
    199 <img class="formulaDsp" alt="\[ f(x|\alpha,\beta) = \prod f(x_i|\alpha_i,\beta_i) \]" src="form_79.png"/> 
    200 </p> 
    201 <p>Vector <img class="formulaInl" alt="$\beta$" src="form_80.png"/> has different meaning (in fact it is 1/beta as used in definition of iG)</p> 
    202 <p>Inverse Gamma can be converted to Gamma using </p> 
    203 <p class="formulaDsp"> 
    204 <img class="formulaDsp" alt="\[ x\sim iG(a,b) => 1/x\sim G(a,1/b) \]" src="form_81.png"/> 
    205 </p> 
    206 <p> This relation is used in sampling. </p> 
    207207<hr/><h2>Member Function Documentation</h2> 
    208208<a class="anchor" id="a8a6fd1a1c0190f3e0d95a2a1f99aafc1"></a><!-- doxytag: member="bdm::eigamma::from_setting" ref="a8a6fd1a1c0190f3e0d95a2a1f99aafc1" args="(const Setting &amp;set)" --> 
    … …  
    237237</ul> 
    238238</div> 
    239 <hr size="1"/><address style="text-align: right;"><small>Generated on Sun Sep 13 22:40:44 2009 for mixpp by&nbsp; 
     239<hr size="1"/><address style="text-align: right;"><small>Generated on Sun Sep 13 23:08:56 2009 for mixpp by&nbsp; 
    240240<a href="http://www.doxygen.org/index.html"> 
    241241<img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.6.1 </small></address>