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26<h1>emix Class Reference</h1><!-- doxytag: class="emix" --><!-- doxytag: inherits="epdf" -->Mixture of epdfs. 
27<a href="#_details">More...</a>
28<p>
29<code>#include &lt;<a class="el" href="emix_8h-source.html">emix.h</a>&gt;</code>
30<p>
31<div class="dynheader">
32Inheritance diagram for emix:</div>
33<div class="dynsection">
34<p><center><img src="classemix__inherit__graph.png" border="0" usemap="#emix__inherit__map" alt="Inheritance graph"></center>
35<map name="emix__inherit__map">
36<area shape="rect" href="classepdf.html" title="Probability density function with numerical statistics, e.g. posterior density." alt="" coords="7,7,52,31"></map>
37<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div>
38<div class="dynheader">
39Collaboration diagram for emix:</div>
40<div class="dynsection">
41<p><center><img src="classemix__coll__graph.png" border="0" usemap="#emix__coll__map" alt="Collaboration graph"></center>
42<map name="emix__coll__map">
43<area shape="rect" href="classepdf.html" title="Probability density function with numerical statistics, e.g. posterior density." alt="" coords="7,95,52,119"><area shape="rect" href="classRV.html" title="Class representing variables, most often random variables." alt="" coords="11,7,48,31"></map>
44<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div>
45
46<p>
47<a href="classemix-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0">
48<tr><td></td></tr>
49<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr>
50<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="3a10c8481115a5460877272ddb6532a6"></a><!-- doxytag: member="emix::emix" ref="3a10c8481115a5460877272ddb6532a6" args="(RV &amp;rv)" -->
51&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classemix.html#3a10c8481115a5460877272ddb6532a6">emix</a> (<a class="el" href="classRV.html">RV</a> &amp;<a class="el" href="classepdf.html#74da992e3f5d598da8850b646b79b9d9">rv</a>)</td></tr>
52
53<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default constructor. <br></td></tr>
54<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="6ce82b24d7fe540ddbf44b472a005555"></a><!-- doxytag: member="emix::set_parameters" ref="6ce82b24d7fe540ddbf44b472a005555" args="(const vec &amp;w, const Array&lt; epdf * &gt; &amp;Coms)" -->
55void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classemix.html#6ce82b24d7fe540ddbf44b472a005555">set_parameters</a> (const vec &amp;<a class="el" href="classemix.html#cdc8f4e2a5e43595ac5450d8a7f9d1ab">w</a>, const Array&lt; <a class="el" href="classepdf.html">epdf</a> * &gt; &amp;<a class="el" href="classemix.html#7155d827417b53fb6aa5cff1459e6eb4">Coms</a>)</td></tr>
56
57<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Set weights <code>w</code> and components <code>R</code>. <br></td></tr>
58<tr><td class="memItemLeft" nowrap align="right" valign="top">vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classemix.html#0650601f24e633e0ab09aa1e46c14483">sample</a> () const </td></tr>
59
60<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns the required moment of the <a class="el" href="classepdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a>.  <a href="#0650601f24e633e0ab09aa1e46c14483"></a><br></td></tr>
61<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b662a51d042b062020460e64bff4e9e8"></a><!-- doxytag: member="emix::mean" ref="b662a51d042b062020460e64bff4e9e8" args="() const " -->
62vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classemix.html#b662a51d042b062020460e64bff4e9e8">mean</a> () const </td></tr>
63
64<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">return expected value <br></td></tr>
65<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="469e910479b3402589104ef3bb1b5741"></a><!-- doxytag: member="emix::evalpdflog" ref="469e910479b3402589104ef3bb1b5741" args="(const vec &amp;val) const " -->
66double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classemix.html#469e910479b3402589104ef3bb1b5741">evalpdflog</a> (const vec &amp;val) const </td></tr>
67
68<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Compute log-probability of argument <code>val</code>. <br></td></tr>
69<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="35baf0f62307455cebfbf462144b4dd8"></a><!-- doxytag: member="emix::_w" ref="35baf0f62307455cebfbf462144b4dd8" args="()" -->
70vec &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classemix.html#35baf0f62307455cebfbf462144b4dd8">_w</a> ()</td></tr>
71
72<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">returns a pointer to the internal mean value. Use with Care! <br></td></tr>
73<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="54d7dd53a641b618771cd9bee135181f"></a><!-- doxytag: member="emix::sampleN" ref="54d7dd53a641b618771cd9bee135181f" args="(int N) const " -->
74virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classepdf.html#54d7dd53a641b618771cd9bee135181f">sampleN</a> (int N) const </td></tr>
75
76<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples from density <img class="formulaInl" alt="$epdf(rv)$" src="form_59.png">. <br></td></tr>
77<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="3ea597362e11a0040fe7c990269d072c"></a><!-- doxytag: member="emix::eval" ref="3ea597362e11a0040fe7c990269d072c" args="(const vec &amp;val) const " -->
78virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classepdf.html#3ea597362e11a0040fe7c990269d072c">eval</a> (const vec &amp;val) const </td></tr>
79
80<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Compute probability of argument <code>val</code>. <br></td></tr>
81<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b89143f12c9b49282e30841e4fb5f337"></a><!-- doxytag: member="emix::_rv" ref="b89143f12c9b49282e30841e4fb5f337" args="() const " -->
82<a class="el" href="classRV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classepdf.html#b89143f12c9b49282e30841e4fb5f337">_rv</a> () const </td></tr>
83
84<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr>
85<tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr>
86<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="cdc8f4e2a5e43595ac5450d8a7f9d1ab"></a><!-- doxytag: member="emix::w" ref="cdc8f4e2a5e43595ac5450d8a7f9d1ab" args="" -->
87vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classemix.html#cdc8f4e2a5e43595ac5450d8a7f9d1ab">w</a></td></tr>
88
89<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">weights of the components <br></td></tr>
90<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7155d827417b53fb6aa5cff1459e6eb4"></a><!-- doxytag: member="emix::Coms" ref="7155d827417b53fb6aa5cff1459e6eb4" args="" -->
91Array&lt; <a class="el" href="classepdf.html">epdf</a> * &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classemix.html#7155d827417b53fb6aa5cff1459e6eb4">Coms</a></td></tr>
92
93<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Component (epdfs). <br></td></tr>
94<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="74da992e3f5d598da8850b646b79b9d9"></a><!-- doxytag: member="emix::rv" ref="74da992e3f5d598da8850b646b79b9d9" args="" -->
95<a class="el" href="classRV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classepdf.html#74da992e3f5d598da8850b646b79b9d9">rv</a></td></tr>
96
97<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Identified of the random variable. <br></td></tr>
98</table>
99<hr><a name="_details"></a><h2>Detailed Description</h2>
100Mixture of epdfs.
101<p>
102Density function: <p class="formulaDsp">
103<img class="formulaDsp" alt="\[ f(x) = \sum_{i=1}^{n} w_{i} f_i(x), \quad \sum_{i=1}^n w_i = 1. \]" src="form_63.png">
104<p>
105 where <img class="formulaInl" alt="$f_i(x)$" src="form_64.png"> is any density on random variable <img class="formulaInl" alt="$x$" src="form_28.png">, called <em>component</em>, <hr><h2>Member Function Documentation</h2>
106<a class="anchor" name="0650601f24e633e0ab09aa1e46c14483"></a><!-- doxytag: member="emix::sample" ref="0650601f24e633e0ab09aa1e46c14483" args="() const " -->
107<div class="memitem">
108<div class="memproto">
109      <table class="memname">
110        <tr>
111          <td class="memname">vec emix::sample           </td>
112          <td>(</td>
113          <td class="paramname">          </td>
114          <td>&nbsp;)&nbsp;</td>
115          <td> const<code> [virtual]</code></td>
116        </tr>
117      </table>
118</div>
119<div class="memdoc">
120
121<p>
122Returns the required moment of the <a class="el" href="classepdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a>.
123<p>
124Returns a sample, <img class="formulaInl" alt="$x$" src="form_28.png"> from density <img class="formulaInl" alt="$epdf(rv)$" src="form_59.png"> 
125<p>Implements <a class="el" href="classepdf.html#8019654e494bf5e458f6fb947e11b262">epdf</a>.</p>
126
127<p>References <a class="el" href="emix_8h-source.html#l00038">Coms</a>, and <a class="el" href="emix_8h-source.html#l00036">w</a>.</p>
128
129</div>
130</div><p>
131<hr>The documentation for this class was generated from the following files:<ul>
132<li>work/git/mixpp/bdm/stat/<a class="el" href="emix_8h-source.html">emix.h</a><li>work/git/mixpp/bdm/stat/emix.cpp</ul>
133</div>
134<hr size="1"><address style="text-align: right;"><small>Generated on Sat Aug 16 17:22:08 2008 for mixpp by&nbsp;
135<a href="http://www.doxygen.org/index.html">
136<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address>
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