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27 | <div class="navpath"><a class="el" href="namespacebdm.html">bdm</a>::<a class="el" href="classbdm_1_1migamma.html">migamma</a> |
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30 | <div class="contents"> |
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31 | <h1>bdm::migamma Class Reference</h1><!-- doxytag: class="bdm::migamma" --><!-- doxytag: inherits="bdm::mEF" --><code>#include <<a class="el" href="libEF_8h-source.html">libEF.h</a>></code> |
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32 | <p> |
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33 | <div class="dynheader"> |
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34 | Inheritance diagram for bdm::migamma:</div> |
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35 | <div class="dynsection"> |
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36 | <p><center><img src="classbdm_1_1migamma__inherit__graph.png" border="0" usemap="#bdm_1_1migamma__inherit__map" alt="Inheritance graph"></center> |
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37 | <map name="bdm_1_1migamma__inherit__map"> |
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38 | <area shape="rect" href="classbdm_1_1migamma__fix.html" title="Inverse-Gamma random walk around a fixed point." alt="" coords="5,316,149,343"><area shape="rect" href="classbdm_1_1mEF.html" title="Exponential family model." alt="" coords="35,161,120,188"><area shape="rect" href="classbdm_1_1mpdf.html" title="Conditional probability density, e.g. modeling some dependencies." alt="" coords="32,84,123,111"><area shape="rect" href="classbdm_1_1bdmroot.html" title="Root class of BDM objects." alt="" coords="21,7,133,33"></map> |
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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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42 | <a href="classbdm_1_1migamma-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2> |
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43 | Inverse-Gamma random walk. |
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44 | <p> |
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45 | Mean value, <img class="formulaInl" alt="$ \mu $" src="form_113.png">, of this density is given by <code>rvc</code> . Standard deviation of the random walk is proportional to one <img class="formulaInl" alt="$ k $" src="form_114.png">-th the mean. This is achieved by setting <img class="formulaInl" alt="$ \alpha=\mu/k^2+2 $" src="form_115.png"> and <img class="formulaInl" alt="$ \beta=\mu(\alpha-1)$" src="form_116.png">.<p> |
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46 | The standard deviation of the walk is then: <img class="formulaInl" alt="$ \mu/\sqrt(k)$" src="form_117.png">. <table border="0" cellpadding="0" cellspacing="0"> |
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47 | <tr><td></td></tr> |
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48 | <tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> |
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49 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="8b10ab922e2a7bae2fb6bb3efc7b6151"></a><!-- doxytag: member="bdm::migamma::set_parameters" ref="8b10ab922e2a7bae2fb6bb3efc7b6151" args="(int len, double k0)" --> |
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50 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1migamma.html#8b10ab922e2a7bae2fb6bb3efc7b6151">set_parameters</a> (int len, double k0)</td></tr> |
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51 | |
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52 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Set value of <code>k</code>. <br></td></tr> |
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53 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7a34b1e2e3aa2250d7c0ed7df1665b8c"></a><!-- doxytag: member="bdm::migamma::condition" ref="7a34b1e2e3aa2250d7c0ed7df1665b8c" args="(const vec &val)" --> |
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54 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1migamma.html#7a34b1e2e3aa2250d7c0ed7df1665b8c">condition</a> (const vec &val)</td></tr> |
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55 | |
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56 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Update <code>ep</code> so that it represents this <a class="el" href="classbdm_1_1mpdf.html" title="Conditional probability density, e.g. modeling some dependencies.">mpdf</a> conditioned on <code>rvc</code> = cond. <br></td></tr> |
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57 | <tr><td colspan="2"><div class="groupHeader">Constructors</div></td></tr> |
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58 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b109fa502a9ab521dfb48412fd45fca7"></a><!-- doxytag: member="bdm::migamma::migamma" ref="b109fa502a9ab521dfb48412fd45fca7" args="()" --> |
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59 | </td><td class="memItemRight" valign="bottom"><b>migamma</b> ()</td></tr> |
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60 | |
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61 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a0126f741c6d2b6016df95a2410071e3"></a><!-- doxytag: member="bdm::migamma::migamma" ref="a0126f741c6d2b6016df95a2410071e3" args="(const migamma &m)" --> |
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62 | </td><td class="memItemRight" valign="bottom"><b>migamma</b> (const <a class="el" href="classbdm_1_1migamma.html">migamma</a> &m)</td></tr> |
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63 | |
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64 | <tr><td colspan="2"><div class="groupHeader">Matematical operations</div></td></tr> |
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65 | <tr><td class="memItemLeft" nowrap align="right" valign="top">virtual vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#f0c1db6fcbb3aae2dd6123884457a367">samplecond</a> (const vec &cond)</td></tr> |
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66 | |
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67 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">. <a href="#f0c1db6fcbb3aae2dd6123884457a367"></a><br></td></tr> |
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68 | <tr><td class="memItemLeft" nowrap align="right" valign="top">virtual mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#afe4185b26baeb03688202e254d3b005">samplecond_m</a> (const vec &cond, int N)</td></tr> |
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69 | |
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70 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Returns. <a href="#afe4185b26baeb03688202e254d3b005"></a><br></td></tr> |
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71 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="6336a8a72462e2a56a3989a220f18b1b"></a><!-- doxytag: member="bdm::migamma::evallogcond" ref="6336a8a72462e2a56a3989a220f18b1b" args="(const vec &dt, const vec &cond)" --> |
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72 | virtual double </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#6336a8a72462e2a56a3989a220f18b1b">evallogcond</a> (const vec &dt, const vec &cond)</td></tr> |
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73 | |
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74 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Shortcut for conditioning and evaluation of the internal <a class="el" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a>. In some cases, this operation can be implemented efficiently. <br></td></tr> |
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75 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0b0ed1ed663071bb7cf4a1349eb94fcb"></a><!-- doxytag: member="bdm::migamma::evallogcond_m" ref="0b0ed1ed663071bb7cf4a1349eb94fcb" args="(const mat &Dt, const vec &cond)" --> |
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76 | virtual vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#0b0ed1ed663071bb7cf4a1349eb94fcb">evallogcond_m</a> (const mat &Dt, const vec &cond)</td></tr> |
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77 | |
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78 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Matrix version of evallogcond. <br></td></tr> |
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79 | <tr><td colspan="2"><div class="groupHeader">Access to attributes</div></td></tr> |
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80 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5571482d150fbcb72cc36f6694ce1a10"></a><!-- doxytag: member="bdm::migamma::_rv" ref="5571482d150fbcb72cc36f6694ce1a10" args="()" --> |
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81 | <a class="el" href="classbdm_1_1RV.html">RV</a> </td><td class="memItemRight" valign="bottom"><b>_rv</b> ()</td></tr> |
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82 | |
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83 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="26001264236846897bd11e4baad47245"></a><!-- doxytag: member="bdm::migamma::_rvc" ref="26001264236846897bd11e4baad47245" args="()" --> |
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84 | <a class="el" href="classbdm_1_1RV.html">RV</a> </td><td class="memItemRight" valign="bottom"><b>_rvc</b> ()</td></tr> |
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85 | |
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86 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1c2bae3e1e90874e72941863974ec0ed"></a><!-- doxytag: member="bdm::migamma::dimension" ref="1c2bae3e1e90874e72941863974ec0ed" args="()" --> |
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87 | int </td><td class="memItemRight" valign="bottom"><b>dimension</b> ()</td></tr> |
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88 | |
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89 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="35e135910aed187b7290742f50e61bc8"></a><!-- doxytag: member="bdm::migamma::dimensionc" ref="35e135910aed187b7290742f50e61bc8" args="()" --> |
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90 | int </td><td class="memItemRight" valign="bottom"><b>dimensionc</b> ()</td></tr> |
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91 | |
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92 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1892fe3933488942253679f068e9e7f6"></a><!-- doxytag: member="bdm::migamma::_epdf" ref="1892fe3933488942253679f068e9e7f6" args="()" --> |
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93 | <a class="el" href="classbdm_1_1epdf.html">epdf</a> & </td><td class="memItemRight" valign="bottom"><b>_epdf</b> ()</td></tr> |
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94 | |
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95 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="05e843fd11c410a99dad2b88c55aca80"></a><!-- doxytag: member="bdm::migamma::_e" ref="05e843fd11c410a99dad2b88c55aca80" args="()" --> |
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96 | <a class="el" href="classbdm_1_1epdf.html">epdf</a> * </td><td class="memItemRight" valign="bottom"><b>_e</b> ()</td></tr> |
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97 | |
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98 | <tr><td colspan="2"><div class="groupHeader">Connection to other objects</div></td></tr> |
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99 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7631a5570e4ade1420065e8df78f4401"></a><!-- doxytag: member="bdm::migamma::set_rvc" ref="7631a5570e4ade1420065e8df78f4401" args="(const RV &rvc0)" --> |
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100 | void </td><td class="memItemRight" valign="bottom"><b>set_rvc</b> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &rvc0)</td></tr> |
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101 | |
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102 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="18ac26bc2f96ae01ef4eb06178abbd75"></a><!-- doxytag: member="bdm::migamma::set_rv" ref="18ac26bc2f96ae01ef4eb06178abbd75" args="(const RV &rv0)" --> |
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103 | void </td><td class="memItemRight" valign="bottom"><b>set_rv</b> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &rv0)</td></tr> |
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104 | |
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105 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f8e3798150b42fd1f3e16ddbbe0e7045"></a><!-- doxytag: member="bdm::migamma::isnamed" ref="f8e3798150b42fd1f3e16ddbbe0e7045" args="()" --> |
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106 | bool </td><td class="memItemRight" valign="bottom"><b>isnamed</b> ()</td></tr> |
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107 | |
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108 | <tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr> |
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109 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a31b39d4179551b593c9e0d7d756783a"></a><!-- doxytag: member="bdm::migamma::epdf" ref="a31b39d4179551b593c9e0d7d756783a" args="" --> |
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110 | <a class="el" href="classbdm_1_1eigamma.html">eigamma</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1migamma.html#a31b39d4179551b593c9e0d7d756783a">epdf</a></td></tr> |
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111 | |
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112 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Internal <a class="el" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a> that arise by conditioning on <code>rvc</code>. <br></td></tr> |
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113 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="dc56bc9da542e0103ec16b9be8e5e38c"></a><!-- doxytag: member="bdm::migamma::k" ref="dc56bc9da542e0103ec16b9be8e5e38c" args="" --> |
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114 | double </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1migamma.html#dc56bc9da542e0103ec16b9be8e5e38c">k</a></td></tr> |
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115 | |
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116 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Constant <img class="formulaInl" alt="$k$" src="form_41.png">. <br></td></tr> |
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117 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c9847093da59a9ba0ebb68d2c592f5dc"></a><!-- doxytag: member="bdm::migamma::_alpha" ref="c9847093da59a9ba0ebb68d2c592f5dc" args="" --> |
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118 | vec & </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1migamma.html#c9847093da59a9ba0ebb68d2c592f5dc">_alpha</a></td></tr> |
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119 | |
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120 | <tr><td class="mdescLeft"> </td><td class="mdescRight">cache of epdf.alpha <br></td></tr> |
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121 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0d854c047001b5465cf1ba21f52904b5"></a><!-- doxytag: member="bdm::migamma::_beta" ref="0d854c047001b5465cf1ba21f52904b5" args="" --> |
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122 | vec & </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1migamma.html#0d854c047001b5465cf1ba21f52904b5">_beta</a></td></tr> |
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123 | |
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124 | <tr><td class="mdescLeft"> </td><td class="mdescRight">cache of epdf.beta <br></td></tr> |
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125 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7c1900976ff13dbc09c9729b3bbff9e6"></a><!-- doxytag: member="bdm::migamma::dimc" ref="7c1900976ff13dbc09c9729b3bbff9e6" args="" --> |
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126 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#7c1900976ff13dbc09c9729b3bbff9e6">dimc</a></td></tr> |
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127 | |
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128 | <tr><td class="mdescLeft"> </td><td class="mdescRight">dimension of the condition <br></td></tr> |
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129 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5a5f08950daa08b85b01ddf4e1c36288"></a><!-- doxytag: member="bdm::migamma::rvc" ref="5a5f08950daa08b85b01ddf4e1c36288" args="" --> |
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130 | <a class="el" href="classbdm_1_1RV.html">RV</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#5a5f08950daa08b85b01ddf4e1c36288">rvc</a></td></tr> |
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131 | |
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132 | <tr><td class="mdescLeft"> </td><td class="mdescRight">random variable in condition <br></td></tr> |
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133 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5eea43c56d38e4441bfb30270db949c0"></a><!-- doxytag: member="bdm::migamma::ep" ref="5eea43c56d38e4441bfb30270db949c0" args="" --> |
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134 | <a class="el" href="classbdm_1_1epdf.html">epdf</a> * </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#5eea43c56d38e4441bfb30270db949c0">ep</a></td></tr> |
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135 | |
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136 | <tr><td class="mdescLeft"> </td><td class="mdescRight">pointer to internal <a class="el" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a> <br></td></tr> |
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137 | </table> |
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138 | <hr><h2>Member Function Documentation</h2> |
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139 | <a class="anchor" name="f0c1db6fcbb3aae2dd6123884457a367"></a><!-- doxytag: member="bdm::migamma::samplecond" ref="f0c1db6fcbb3aae2dd6123884457a367" args="(const vec &cond)" --> |
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140 | <div class="memitem"> |
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141 | <div class="memproto"> |
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142 | <table class="memname"> |
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143 | <tr> |
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144 | <td class="memname">virtual vec bdm::mpdf::samplecond </td> |
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145 | <td>(</td> |
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146 | <td class="paramtype">const vec & </td> |
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147 | <td class="paramname"> <em>cond</em> </td> |
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148 | <td> ) </td> |
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149 | <td><code> [inline, virtual, inherited]</code></td> |
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150 | </tr> |
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151 | </table> |
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152 | </div> |
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153 | <div class="memdoc"> |
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154 | |
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155 | <p> |
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156 | Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">. |
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157 | <p> |
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158 | <dl compact><dt><b>Parameters:</b></dt><dd> |
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159 | <table border="0" cellspacing="2" cellpadding="0"> |
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160 | <tr><td valign="top"></td><td valign="top"><em>cond</em> </td><td>is numeric value of <code>rv</code> </td></tr> |
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161 | </table> |
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162 | </dl> |
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163 | |
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164 | <p>References <a class="el" href="libBM_8h-source.html#l00315">bdm::mpdf::condition()</a>, <a class="el" href="libBM_8h-source.html#l00288">bdm::mpdf::ep</a>, and <a class="el" href="classbdm_1_1epdf.html#09721eb148bc49d6ec2f1956039f3a10">bdm::epdf::sample()</a>.</p> |
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165 | |
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166 | <p>Referenced by <a class="el" href="libPF_8h-source.html#l00143">bdm::MPF< BM_T >::bayes()</a>, <a class="el" href="libPF_8cpp-source.html#l00007">bdm::PF::bayes()</a>, and <a class="el" href="libDS_8cpp-source.html#l00044">bdm::ArxDS::step()</a>.</p> |
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167 | |
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168 | </div> |
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169 | </div><p> |
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170 | <a class="anchor" name="afe4185b26baeb03688202e254d3b005"></a><!-- doxytag: member="bdm::migamma::samplecond_m" ref="afe4185b26baeb03688202e254d3b005" args="(const vec &cond, int N)" --> |
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171 | <div class="memitem"> |
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172 | <div class="memproto"> |
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173 | <table class="memname"> |
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174 | <tr> |
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175 | <td class="memname">virtual mat bdm::mpdf::samplecond_m </td> |
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176 | <td>(</td> |
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177 | <td class="paramtype">const vec & </td> |
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178 | <td class="paramname"> <em>cond</em>, </td> |
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179 | </tr> |
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180 | <tr> |
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181 | <td class="paramkey"></td> |
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182 | <td></td> |
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183 | <td class="paramtype">int </td> |
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184 | <td class="paramname"> <em>N</em></td><td> </td> |
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185 | </tr> |
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186 | <tr> |
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187 | <td></td> |
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188 | <td>)</td> |
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189 | <td></td><td></td><td><code> [inline, virtual, inherited]</code></td> |
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190 | </tr> |
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191 | </table> |
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192 | </div> |
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193 | <div class="memdoc"> |
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194 | |
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195 | <p> |
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196 | Returns. |
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197 | <p> |
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198 | <dl compact><dt><b>Parameters:</b></dt><dd> |
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199 | <table border="0" cellspacing="2" cellpadding="0"> |
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200 | <tr><td valign="top"></td><td valign="top"><em>N</em> </td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">. </td></tr> |
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201 | <tr><td valign="top"></td><td valign="top"><em>cond</em> </td><td>is numeric value of <code>rv</code> </td></tr> |
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202 | <tr><td valign="top"></td><td valign="top"><em>ll</em> </td><td>is a return value of log-likelihood of the sample. </td></tr> |
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203 | </table> |
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204 | </dl> |
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205 | |
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206 | <p>References <a class="el" href="libBM_8h-source.html#l00315">bdm::mpdf::condition()</a>, <a class="el" href="libBM_8h-source.html#l00272">bdm::epdf::dimension()</a>, <a class="el" href="libBM_8h-source.html#l00288">bdm::mpdf::ep</a>, and <a class="el" href="classbdm_1_1epdf.html#09721eb148bc49d6ec2f1956039f3a10">bdm::epdf::sample()</a>.</p> |
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207 | |
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208 | </div> |
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209 | </div><p> |
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210 | <hr>The documentation for this class was generated from the following file:<ul> |
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211 | <li><a class="el" href="libEF_8h-source.html">libEF.h</a></ul> |
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212 | </div> |
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213 | <hr size="1"><address style="text-align: right;"><small>Generated on Wed Feb 11 23:34:07 2009 for mixpp by |
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214 | <a href="http://www.doxygen.org/index.html"> |
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215 | <img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> |
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216 | </body> |
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217 | </html> |
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