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| 3 | <title>mixpp: bdm::egiw Class Reference</title> |
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[259] | 22 | <li><a href="annotated.html"><span>Class List</span></a></li> |
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| 24 | <li><a href="functions.html"><span>Class Members</span></a></li> |
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[261] | 27 | <div class="navpath"><a class="el" href="namespacebdm.html">bdm</a>::<a class="el" href="classbdm_1_1egiw.html">egiw</a> |
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[259] | 28 | </div> |
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| 29 | </div> |
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| 30 | <div class="contents"> |
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[270] | 31 | <h1>bdm::egiw Class Reference</h1><!-- doxytag: class="bdm::egiw" --><!-- doxytag: inherits="bdm::eEF" --><code>#include <<a class="el" href="libEF_8h-source.html">libEF.h</a>></code> |
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[259] | 32 | <p> |
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| 33 | <div class="dynheader"> |
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| 34 | Inheritance diagram for bdm::egiw:</div> |
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| 35 | <div class="dynsection"> |
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| 36 | <p><center><img src="classbdm_1_1egiw__inherit__graph.png" border="0" usemap="#bdm_1_1egiw__inherit__map" alt="Inheritance graph"></center> |
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| 37 | <map name="bdm_1_1egiw__inherit__map"> |
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[261] | 38 | <area shape="rect" href="classbdm_1_1eEF.html" title="General conjugate exponential family posterior density." alt="" coords="21,161,101,188"><area shape="rect" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density." alt="" coords="19,84,104,111"><area shape="rect" href="classbdm_1_1bdmroot.html" title="Root class of BDM objects." alt="" coords="5,7,117,33"></map> |
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[259] | 39 | <center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div> |
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| 40 | |
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| 41 | <p> |
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[270] | 42 | <a href="classbdm_1_1egiw-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2> |
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| 43 | Gauss-inverse-Wishart density stored in LD form. |
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| 44 | <p> |
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| 45 | For <img class="formulaInl" alt="$p$" src="form_42.png">-variate densities, given rv.count() should be <img class="formulaInl" alt="$p\times$" src="form_72.png"> V.rows(). <table border="0" cellpadding="0" cellspacing="0"> |
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[259] | 46 | <tr><td></td></tr> |
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| 47 | <tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> |
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| 48 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="920f21548b7a3723923dd108fe514c61"></a><!-- doxytag: member="bdm::egiw::sample" ref="920f21548b7a3723923dd108fe514c61" args="() const " --> |
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| 49 | vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egiw.html#920f21548b7a3723923dd108fe514c61">sample</a> () const </td></tr> |
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| 50 | |
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[270] | 51 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_106.png"> from density <img class="formulaInl" alt="$ f_x()$" src="form_107.png">. <br></td></tr> |
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[259] | 52 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="df70c05f918c3a6f86d60f10c1fd6ba2"></a><!-- doxytag: member="bdm::egiw::mean" ref="df70c05f918c3a6f86d60f10c1fd6ba2" args="() const " --> |
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| 53 | vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egiw.html#df70c05f918c3a6f86d60f10c1fd6ba2">mean</a> () const </td></tr> |
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| 54 | |
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| 55 | <tr><td class="mdescLeft"> </td><td class="mdescRight">return expected value <br></td></tr> |
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| 56 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c1ecc406613cc2341225dc10c3d3b46a"></a><!-- doxytag: member="bdm::egiw::variance" ref="c1ecc406613cc2341225dc10c3d3b46a" args="() const " --> |
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| 57 | vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egiw.html#c1ecc406613cc2341225dc10c3d3b46a">variance</a> () const </td></tr> |
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| 58 | |
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| 59 | <tr><td class="mdescLeft"> </td><td class="mdescRight">return expected variance (not covariance!) <br></td></tr> |
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| 60 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d2075aa2306648b3e4fe40bb86628d5c"></a><!-- doxytag: member="bdm::egiw::mean_mat" ref="d2075aa2306648b3e4fe40bb86628d5c" args="(mat &M, mat &R) const " --> |
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| 61 | void </td><td class="memItemRight" valign="bottom"><b>mean_mat</b> (mat &M, mat &R) const </td></tr> |
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| 62 | |
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| 63 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="bfb8e7c619b34ad804a73bff71742b5e"></a><!-- doxytag: member="bdm::egiw::evallog_nn" ref="bfb8e7c619b34ad804a73bff71742b5e" args="(const vec &val) const " --> |
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| 64 | double </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egiw.html#bfb8e7c619b34ad804a73bff71742b5e">evallog_nn</a> (const vec &val) const </td></tr> |
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| 65 | |
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| 66 | <tr><td class="mdescLeft"> </td><td class="mdescRight">In this instance, val= [theta, r]. For multivariate instances, it is stored columnwise val = [theta_1 theta_2 ... r_1 r_2 ]. <br></td></tr> |
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| 67 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="41d72ba7b2abc8a9a4209ffa98ed5633"></a><!-- doxytag: member="bdm::egiw::lognc" ref="41d72ba7b2abc8a9a4209ffa98ed5633" args="() const " --> |
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| 68 | double </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egiw.html#41d72ba7b2abc8a9a4209ffa98ed5633">lognc</a> () const </td></tr> |
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| 69 | |
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| 70 | <tr><td class="mdescLeft"> </td><td class="mdescRight">logarithm of the normalizing constant, <img class="formulaInl" alt="$\mathcal{I}$" src="form_60.png"> <br></td></tr> |
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| 71 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="8e610e95401a11baf34f65e16ecd87be"></a><!-- doxytag: member="bdm::egiw::pow" ref="8e610e95401a11baf34f65e16ecd87be" args="(double p)" --> |
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| 72 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egiw.html#8e610e95401a11baf34f65e16ecd87be">pow</a> (double p)</td></tr> |
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| 73 | |
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| 74 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Power of the density, used e.g. to flatten the density. <br></td></tr> |
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| 75 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="deef7d6273ba4d5a5cf0bbd91ec7277a"></a><!-- doxytag: member="bdm::egiw::dupdate" ref="deef7d6273ba4d5a5cf0bbd91ec7277a" args="(mat &v)" --> |
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| 76 | virtual void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eEF.html#deef7d6273ba4d5a5cf0bbd91ec7277a">dupdate</a> (mat &v)</td></tr> |
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| 77 | |
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| 78 | <tr><td class="mdescLeft"> </td><td class="mdescRight">TODO decide if it is really needed. <br></td></tr> |
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| 79 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a36d06ecdd6f4c79dc122510eaccc692"></a><!-- doxytag: member="bdm::egiw::evallog" ref="a36d06ecdd6f4c79dc122510eaccc692" args="(const vec &val) const " --> |
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| 80 | virtual double </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eEF.html#a36d06ecdd6f4c79dc122510eaccc692">evallog</a> (const vec &val) const </td></tr> |
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| 81 | |
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| 82 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Evaluate normalized log-probability. <br></td></tr> |
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| 83 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="79a7c8ea8c02e45d410bd1d7ffd72b41"></a><!-- doxytag: member="bdm::egiw::evallog" ref="79a7c8ea8c02e45d410bd1d7ffd72b41" args="(const mat &Val) const " --> |
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| 84 | virtual vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eEF.html#79a7c8ea8c02e45d410bd1d7ffd72b41">evallog</a> (const mat &Val) const </td></tr> |
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| 85 | |
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| 86 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Evaluate normalized log-probability for many samples. <br></td></tr> |
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[270] | 87 | <tr><td colspan="2"><div class="groupHeader">Constructors</div></td></tr> |
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| 88 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="50149cf136c9120b4fff71c117f0bb2e"></a><!-- doxytag: member="bdm::egiw::egiw" ref="50149cf136c9120b4fff71c117f0bb2e" args="()" --> |
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| 89 | </td><td class="memItemRight" valign="bottom"><b>egiw</b> ()</td></tr> |
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| 90 | |
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| 91 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="79037e048e717a076f342eb1d276870e"></a><!-- doxytag: member="bdm::egiw::egiw" ref="79037e048e717a076f342eb1d276870e" args="(int dimx0, ldmat V0, double nu0=-1.0)" --> |
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| 92 | </td><td class="memItemRight" valign="bottom"><b>egiw</b> (int dimx0, <a class="el" href="classldmat.html">ldmat</a> V0, double nu0=-1.0)</td></tr> |
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| 93 | |
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| 94 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="40b04f8ef133d089c4be2c7983e18b5c"></a><!-- doxytag: member="bdm::egiw::set_parameters" ref="40b04f8ef133d089c4be2c7983e18b5c" args="(int dimx0, ldmat V0, double nu0=-1.0)" --> |
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| 95 | void </td><td class="memItemRight" valign="bottom"><b>set_parameters</b> (int dimx0, <a class="el" href="classldmat.html">ldmat</a> V0, double nu0=-1.0)</td></tr> |
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| 96 | |
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| 97 | <tr><td colspan="2"><div class="groupHeader">Access attributes</div></td></tr> |
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| 98 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="15792f3112e5cf67d572f491b09324c8"></a><!-- doxytag: member="bdm::egiw::_V" ref="15792f3112e5cf67d572f491b09324c8" args="()" --> |
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| 99 | <a class="el" href="classldmat.html">ldmat</a> & </td><td class="memItemRight" valign="bottom"><b>_V</b> ()</td></tr> |
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| 100 | |
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| 101 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ad9c539a80a552e837245ddcebcbbba4"></a><!-- doxytag: member="bdm::egiw::_V" ref="ad9c539a80a552e837245ddcebcbbba4" args="() const " --> |
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| 102 | const <a class="el" href="classldmat.html">ldmat</a> & </td><td class="memItemRight" valign="bottom"><b>_V</b> () const </td></tr> |
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| 103 | |
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| 104 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a025ee710274ca142dd0ae978735ad4a"></a><!-- doxytag: member="bdm::egiw::_nu" ref="a025ee710274ca142dd0ae978735ad4a" args="()" --> |
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| 105 | double & </td><td class="memItemRight" valign="bottom"><b>_nu</b> ()</td></tr> |
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| 106 | |
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| 107 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="cf3b2bcb158c15c24788bba90e4154e4"></a><!-- doxytag: member="bdm::egiw::_nu" ref="cf3b2bcb158c15c24788bba90e4154e4" args="() const " --> |
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| 108 | const double & </td><td class="memItemRight" valign="bottom"><b>_nu</b> () const </td></tr> |
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| 109 | |
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| 110 | <tr><td colspan="2"><div class="groupHeader">Matematical Operations</div></td></tr> |
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[259] | 111 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b4cf45fd83cc7573ede9fe1215256058"></a><!-- doxytag: member="bdm::egiw::sample_m" ref="b4cf45fd83cc7573ede9fe1215256058" args="(int N) const " --> |
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| 112 | virtual mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#b4cf45fd83cc7573ede9fe1215256058">sample_m</a> (int N) const </td></tr> |
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| 113 | |
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[270] | 114 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_108.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_109.png">. <br></td></tr> |
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[259] | 115 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="34956d4dd3176eeb5937cf48a1546b62"></a><!-- doxytag: member="bdm::egiw::evallog_m" ref="34956d4dd3176eeb5937cf48a1546b62" args="(const mat &Val) const " --> |
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| 116 | virtual vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#34956d4dd3176eeb5937cf48a1546b62">evallog_m</a> (const mat &Val) const </td></tr> |
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| 117 | |
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| 118 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Compute log-probability of multiple values argument <code>val</code>. <br></td></tr> |
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| 119 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e584eac5579c1b6384947ecf66166c77"></a><!-- doxytag: member="bdm::egiw::condition" ref="e584eac5579c1b6384947ecf66166c77" args="(const RV &rv) const " --> |
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| 120 | virtual <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> * </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#e584eac5579c1b6384947ecf66166c77">condition</a> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &<a class="el" href="classbdm_1_1epdf.html#62c5b8ff71d9ebe6cd58d3c342eb1dc8">rv</a>) const </td></tr> |
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| 121 | |
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| 122 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Return conditional density on the given <a class="el" href="classbdm_1_1RV.html" title="Class representing variables, most often random variables.">RV</a>, the remaining rvs will be in conditioning. <br></td></tr> |
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| 123 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="3fb2ece54f720b62ad325e61214fa0a1"></a><!-- doxytag: member="bdm::egiw::marginal" ref="3fb2ece54f720b62ad325e61214fa0a1" args="(const RV &rv) const " --> |
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| 124 | virtual <a class="el" href="classbdm_1_1epdf.html">epdf</a> * </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#3fb2ece54f720b62ad325e61214fa0a1">marginal</a> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &<a class="el" href="classbdm_1_1epdf.html#62c5b8ff71d9ebe6cd58d3c342eb1dc8">rv</a>) const </td></tr> |
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| 125 | |
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| 126 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Return marginal density on the given <a class="el" href="classbdm_1_1RV.html" title="Class representing variables, most often random variables.">RV</a>, the remainig rvs are intergrated out. <br></td></tr> |
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[270] | 127 | <tr><td colspan="2"><div class="groupHeader">Connection to other classes</div></td></tr> |
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| 128 | <tr><td colspan="2"><div class="groupText">Description of the random quantity via attribute <code>rv</code> is optional. For operations such as sampling <code>rv</code> does not need to be set. However, for <code>marginalization</code> and <code>conditioning</code> <code>rv</code> has to be set. NB: <br><br></div></td></tr> |
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| 129 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f423e28448dbb69ef4905295ec8de8ff"></a><!-- doxytag: member="bdm::egiw::set_rv" ref="f423e28448dbb69ef4905295ec8de8ff" args="(const RV &rv0)" --> |
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| 130 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#f423e28448dbb69ef4905295ec8de8ff">set_rv</a> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &rv0)</td></tr> |
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| 131 | |
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| 132 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Name its rv. <br></td></tr> |
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| 133 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c4b863ff84c7a4882fb3ad18556027f9"></a><!-- doxytag: member="bdm::egiw::isnamed" ref="c4b863ff84c7a4882fb3ad18556027f9" args="() const " --> |
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| 134 | bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#c4b863ff84c7a4882fb3ad18556027f9">isnamed</a> () const </td></tr> |
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| 135 | |
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| 136 | <tr><td class="mdescLeft"> </td><td class="mdescRight">True if rv is assigned. <br></td></tr> |
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[259] | 137 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a4ab378d5e004c3ff3e2d4e64f7bba21"></a><!-- doxytag: member="bdm::egiw::_rv" ref="a4ab378d5e004c3ff3e2d4e64f7bba21" args="() const " --> |
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| 138 | const <a class="el" href="classbdm_1_1RV.html">RV</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#a4ab378d5e004c3ff3e2d4e64f7bba21">_rv</a> () const </td></tr> |
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| 139 | |
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[270] | 140 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Return name (fails when isnamed is false). <br></td></tr> |
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| 141 | <tr><td colspan="2"><div class="groupHeader">Access to attributes</div></td></tr> |
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| 142 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="46dfe100cd621716ee5c7ee25a20f24b"></a><!-- doxytag: member="bdm::egiw::dimension" ref="46dfe100cd621716ee5c7ee25a20f24b" args="() const " --> |
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| 143 | bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#46dfe100cd621716ee5c7ee25a20f24b">dimension</a> () const </td></tr> |
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[259] | 144 | |
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[270] | 145 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Size of the random variable. <br></td></tr> |
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[259] | 146 | <tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr> |
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| 147 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ae56852845c6af176fd9017dbebbbd52"></a><!-- doxytag: member="bdm::egiw::V" ref="ae56852845c6af176fd9017dbebbbd52" args="" --> |
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| 148 | <a class="el" href="classldmat.html">ldmat</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egiw.html#ae56852845c6af176fd9017dbebbbd52">V</a></td></tr> |
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| 149 | |
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| 150 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Extended information matrix of sufficient statistics. <br></td></tr> |
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| 151 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="447eacf19d4f4083872686f044814dc4"></a><!-- doxytag: member="bdm::egiw::nu" ref="447eacf19d4f4083872686f044814dc4" args="" --> |
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| 152 | double </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egiw.html#447eacf19d4f4083872686f044814dc4">nu</a></td></tr> |
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| 153 | |
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| 154 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Number of data records (degrees of freedom) of sufficient statistics. <br></td></tr> |
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[270] | 155 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="23e4d78bea7e98840f3da30e76a2b57a"></a><!-- doxytag: member="bdm::egiw::dimx" ref="23e4d78bea7e98840f3da30e76a2b57a" args="" --> |
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| 156 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egiw.html#23e4d78bea7e98840f3da30e76a2b57a">dimx</a></td></tr> |
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[259] | 157 | |
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| 158 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Dimension of the output. <br></td></tr> |
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| 159 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="322414c32d9a21a006a5aab0311f64fd"></a><!-- doxytag: member="bdm::egiw::nPsi" ref="322414c32d9a21a006a5aab0311f64fd" args="" --> |
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| 160 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egiw.html#322414c32d9a21a006a5aab0311f64fd">nPsi</a></td></tr> |
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| 161 | |
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| 162 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Dimension of the regressor. <br></td></tr> |
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[270] | 163 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="16adac20ec7fe07e1ea0b27d917788ce"></a><!-- doxytag: member="bdm::egiw::dim" ref="16adac20ec7fe07e1ea0b27d917788ce" args="" --> |
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| 164 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#16adac20ec7fe07e1ea0b27d917788ce">dim</a></td></tr> |
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| 165 | |
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| 166 | <tr><td class="mdescLeft"> </td><td class="mdescRight">dimension of the random variable <br></td></tr> |
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[259] | 167 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="62c5b8ff71d9ebe6cd58d3c342eb1dc8"></a><!-- doxytag: member="bdm::egiw::rv" ref="62c5b8ff71d9ebe6cd58d3c342eb1dc8" args="" --> |
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| 168 | <a class="el" href="classbdm_1_1RV.html">RV</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#62c5b8ff71d9ebe6cd58d3c342eb1dc8">rv</a></td></tr> |
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| 169 | |
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[270] | 170 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Description of the random variable. <br></td></tr> |
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[259] | 171 | </table> |
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[270] | 172 | <hr>The documentation for this class was generated from the following files:<ul> |
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[261] | 173 | <li><a class="el" href="libEF_8h-source.html">libEF.h</a><li>libEF.cpp</ul> |
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[259] | 174 | </div> |
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[270] | 175 | <hr size="1"><address style="text-align: right;"><small>Generated on Wed Feb 11 23:34:06 2009 for mixpp by |
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[259] | 176 | <a href="http://www.doxygen.org/index.html"> |
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| 177 | <img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> |
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| 178 | </body> |
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| 179 | </html> |
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