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67 | <div class="navpath"><b>bdm</b>::<a class="el" href="classbdm_1_1mratio.html">mratio</a> |
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71 | <h1>bdm::mratio Class Reference</h1><!-- doxytag: class="bdm::mratio" --><!-- doxytag: inherits="bdm::mpdf" -->Class representing ratio of two densities which arise e.g. by applying the Bayes rule. It represents density in the form: <p class="formulaDsp"> |
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72 | <img class="formulaDsp" alt="\[ f(rv|rvc) = \frac{f(rv,rvc)}{f(rvc)} \]" src="form_36.png"> |
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73 | <p> |
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74 | where <img class="formulaInl" alt="$ f(rvc) = \int f(rv,rvc) d\ rv $" src="form_37.png">. |
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75 | <a href="#_details">More...</a> |
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76 | <p> |
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77 | <code>#include <<a class="el" href="emix_8h-source.html">emix.h</a>></code> |
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78 | <p> |
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79 | |
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80 | <p> |
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81 | <a href="classbdm_1_1mratio-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0"> |
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82 | <tr><td></td></tr> |
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83 | <tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> |
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84 | <tr><td class="memItemLeft" nowrap align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mratio.html#0ff56d13f9515d7e5f23b7a4cc5529b4">mratio</a> (const <a class="el" href="classbdm_1_1epdf.html">epdf</a> *nom0, const <a class="el" href="classbdm_1_1RV.html">RV</a> &rv, bool copy=false)</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="3a2cbce8c61ca9f592d9c2220f7c1204"></a><!-- doxytag: member="bdm::mratio::evallogcond" ref="3a2cbce8c61ca9f592d9c2220f7c1204" args="(const vec &val, const vec &cond)" --> |
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87 | double </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mratio.html#3a2cbce8c61ca9f592d9c2220f7c1204">evallogcond</a> (const vec &val, const vec &cond)</td></tr> |
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88 | |
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89 | <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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90 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c8b39fea586d4258bb3c881406edaf15"></a><!-- doxytag: member="bdm::mratio::ownnom" ref="c8b39fea586d4258bb3c881406edaf15" args="()" --> |
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91 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mratio.html#c8b39fea586d4258bb3c881406edaf15">ownnom</a> ()</td></tr> |
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92 | |
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93 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Object takes ownership of nom and will destroy it. <br></td></tr> |
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94 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c0cc0b25dbdc54751466616655454c5c"></a><!-- doxytag: member="bdm::mratio::~mratio" ref="c0cc0b25dbdc54751466616655454c5c" args="()" --> |
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95 | </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mratio.html#c0cc0b25dbdc54751466616655454c5c">~mratio</a> ()</td></tr> |
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96 | |
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97 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Default destructor. <br></td></tr> |
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98 | <tr><td colspan="2"><div class="groupHeader">Matematical operations</div></td></tr> |
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99 | <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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100 | |
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101 | <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_50.png">. <a href="#f0c1db6fcbb3aae2dd6123884457a367"></a><br></td></tr> |
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102 | <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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103 | |
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104 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Returns. <a href="#afe4185b26baeb03688202e254d3b005"></a><br></td></tr> |
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105 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="db94784a9aacf74c65c5a014f6743530"></a><!-- doxytag: member="bdm::mratio::condition" ref="db94784a9aacf74c65c5a014f6743530" args="(const vec &cond)" --> |
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106 | virtual void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#db94784a9aacf74c65c5a014f6743530">condition</a> (const vec &cond)</td></tr> |
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107 | |
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108 | <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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109 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0b0ed1ed663071bb7cf4a1349eb94fcb"></a><!-- doxytag: member="bdm::mratio::evallogcond_m" ref="0b0ed1ed663071bb7cf4a1349eb94fcb" args="(const mat &Dt, const vec &cond)" --> |
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110 | 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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111 | |
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112 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Matrix version of evallogcond. <br></td></tr> |
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113 | <tr><td colspan="2"><div class="groupHeader">Access to attributes</div></td></tr> |
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114 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5571482d150fbcb72cc36f6694ce1a10"></a><!-- doxytag: member="bdm::mratio::_rv" ref="5571482d150fbcb72cc36f6694ce1a10" args="()" --> |
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115 | <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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116 | |
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117 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="26001264236846897bd11e4baad47245"></a><!-- doxytag: member="bdm::mratio::_rvc" ref="26001264236846897bd11e4baad47245" args="()" --> |
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118 | <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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119 | |
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120 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1c2bae3e1e90874e72941863974ec0ed"></a><!-- doxytag: member="bdm::mratio::dimension" ref="1c2bae3e1e90874e72941863974ec0ed" args="()" --> |
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121 | int </td><td class="memItemRight" valign="bottom"><b>dimension</b> ()</td></tr> |
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122 | |
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123 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="35e135910aed187b7290742f50e61bc8"></a><!-- doxytag: member="bdm::mratio::dimensionc" ref="35e135910aed187b7290742f50e61bc8" args="()" --> |
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124 | int </td><td class="memItemRight" valign="bottom"><b>dimensionc</b> ()</td></tr> |
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125 | |
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126 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1892fe3933488942253679f068e9e7f6"></a><!-- doxytag: member="bdm::mratio::_epdf" ref="1892fe3933488942253679f068e9e7f6" args="()" --> |
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127 | <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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128 | |
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129 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="05e843fd11c410a99dad2b88c55aca80"></a><!-- doxytag: member="bdm::mratio::_e" ref="05e843fd11c410a99dad2b88c55aca80" args="()" --> |
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130 | <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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131 | |
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132 | <tr><td colspan="2"><div class="groupHeader">Connection to other objects</div></td></tr> |
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133 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7631a5570e4ade1420065e8df78f4401"></a><!-- doxytag: member="bdm::mratio::set_rvc" ref="7631a5570e4ade1420065e8df78f4401" args="(const RV &rvc0)" --> |
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134 | 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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135 | |
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136 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="18ac26bc2f96ae01ef4eb06178abbd75"></a><!-- doxytag: member="bdm::mratio::set_rv" ref="18ac26bc2f96ae01ef4eb06178abbd75" args="(const RV &rv0)" --> |
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137 | 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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138 | |
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139 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f8e3798150b42fd1f3e16ddbbe0e7045"></a><!-- doxytag: member="bdm::mratio::isnamed" ref="f8e3798150b42fd1f3e16ddbbe0e7045" args="()" --> |
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140 | bool </td><td class="memItemRight" valign="bottom"><b>isnamed</b> ()</td></tr> |
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141 | |
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142 | <tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr> |
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143 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f31caba90a2aa10fbf7631832404fe54"></a><!-- doxytag: member="bdm::mratio::nom" ref="f31caba90a2aa10fbf7631832404fe54" args="" --> |
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144 | const <a class="el" href="classbdm_1_1epdf.html">epdf</a> * </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mratio.html#f31caba90a2aa10fbf7631832404fe54">nom</a></td></tr> |
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145 | |
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146 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Nominator in the form of <a class="el" href="classbdm_1_1mpdf.html" title="Conditional probability density, e.g. modeling some dependencies.">mpdf</a>. <br></td></tr> |
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147 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7daa5d02d3a3be9d15fd4156d886ed88"></a><!-- doxytag: member="bdm::mratio::den" ref="7daa5d02d3a3be9d15fd4156d886ed88" args="" --> |
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148 | <a class="el" href="classbdm_1_1epdf.html">epdf</a> * </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mratio.html#7daa5d02d3a3be9d15fd4156d886ed88">den</a></td></tr> |
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149 | |
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150 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Denominator in the form of <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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151 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="51bfe6675e724f7fbeaaeacce5a9f9b8"></a><!-- doxytag: member="bdm::mratio::destroynom" ref="51bfe6675e724f7fbeaaeacce5a9f9b8" args="" --> |
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152 | bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mratio.html#51bfe6675e724f7fbeaaeacce5a9f9b8">destroynom</a></td></tr> |
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153 | |
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154 | <tr><td class="mdescLeft"> </td><td class="mdescRight">flag for destructor <br></td></tr> |
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155 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="cda5bd23ba60146d69e1f804ff7710c7"></a><!-- doxytag: member="bdm::mratio::dl" ref="cda5bd23ba60146d69e1f804ff7710c7" args="" --> |
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156 | <a class="el" href="classbdm_1_1datalink__m2e.html">datalink_m2e</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mratio.html#cda5bd23ba60146d69e1f804ff7710c7">dl</a></td></tr> |
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157 | |
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158 | <tr><td class="mdescLeft"> </td><td class="mdescRight"><a class="el" href="classbdm_1_1datalink.html" title="DataLink is a connection between two data vectors Up and Down.">datalink</a> between conditional and nom <br></td></tr> |
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159 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7c1900976ff13dbc09c9729b3bbff9e6"></a><!-- doxytag: member="bdm::mratio::dimc" ref="7c1900976ff13dbc09c9729b3bbff9e6" args="" --> |
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160 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#7c1900976ff13dbc09c9729b3bbff9e6">dimc</a></td></tr> |
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161 | |
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162 | <tr><td class="mdescLeft"> </td><td class="mdescRight">dimension of the condition <br></td></tr> |
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163 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5a5f08950daa08b85b01ddf4e1c36288"></a><!-- doxytag: member="bdm::mratio::rvc" ref="5a5f08950daa08b85b01ddf4e1c36288" args="" --> |
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164 | <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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165 | |
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166 | <tr><td class="mdescLeft"> </td><td class="mdescRight">random variable in condition <br></td></tr> |
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167 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5eea43c56d38e4441bfb30270db949c0"></a><!-- doxytag: member="bdm::mratio::ep" ref="5eea43c56d38e4441bfb30270db949c0" args="" --> |
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168 | <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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169 | |
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170 | <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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171 | </table> |
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172 | <hr><a name="_details"></a><h2>Detailed Description</h2> |
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173 | Class representing ratio of two densities which arise e.g. by applying the Bayes rule. It represents density in the form: <p class="formulaDsp"> |
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174 | <img class="formulaDsp" alt="\[ f(rv|rvc) = \frac{f(rv,rvc)}{f(rvc)} \]" src="form_36.png"> |
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175 | <p> |
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176 | where <img class="formulaInl" alt="$ f(rvc) = \int f(rv,rvc) d\ rv $" src="form_37.png">. |
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177 | <p> |
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178 | In particular this type of arise by conditioning of a mixture model.<p> |
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179 | At present the only supported operation is <a class="el" href="classbdm_1_1mratio.html#3a2cbce8c61ca9f592d9c2220f7c1204" title="Shortcut for conditioning and evaluation of the internal epdf. In some cases, this...">evallogcond()</a>. <hr><h2>Constructor & Destructor Documentation</h2> |
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180 | <a class="anchor" name="0ff56d13f9515d7e5f23b7a4cc5529b4"></a><!-- doxytag: member="bdm::mratio::mratio" ref="0ff56d13f9515d7e5f23b7a4cc5529b4" args="(const epdf *nom0, const RV &rv, bool copy=false)" --> |
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181 | <div class="memitem"> |
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182 | <div class="memproto"> |
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183 | <table class="memname"> |
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184 | <tr> |
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185 | <td class="memname">bdm::mratio::mratio </td> |
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186 | <td>(</td> |
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187 | <td class="paramtype">const <a class="el" href="classbdm_1_1epdf.html">epdf</a> * </td> |
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188 | <td class="paramname"> <em>nom0</em>, </td> |
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189 | </tr> |
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190 | <tr> |
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191 | <td class="paramkey"></td> |
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192 | <td></td> |
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193 | <td class="paramtype">const <a class="el" href="classbdm_1_1RV.html">RV</a> & </td> |
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194 | <td class="paramname"> <em>rv</em>, </td> |
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195 | </tr> |
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196 | <tr> |
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197 | <td class="paramkey"></td> |
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198 | <td></td> |
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199 | <td class="paramtype">bool </td> |
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200 | <td class="paramname"> <em>copy</em> = <code>false</code></td><td> </td> |
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201 | </tr> |
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202 | <tr> |
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203 | <td></td> |
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204 | <td>)</td> |
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205 | <td></td><td></td><td><code> [inline]</code></td> |
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206 | </tr> |
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207 | </table> |
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208 | </div> |
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209 | <div class="memdoc"> |
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210 | |
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211 | <p> |
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212 | Default constructor. By default, the given <a class="el" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a> is not copied! It is assumed that this function will be used only temporarily. |
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213 | <p>References <a class="el" href="libBM_8h-source.html#l00122">bdm::RV::_dsize()</a>, <a class="el" href="libBM_8h-source.html#l00279">bdm::epdf::_rv()</a>, <a class="el" href="emix_8h-source.html#l00041">den</a>, <a class="el" href="emix_8h-source.html#l00043">destroynom</a>, <a class="el" href="libBM_8h-source.html#l00298">bdm::mpdf::dimc</a>, <a class="el" href="emix_8h-source.html#l00045">dl</a>, <a class="el" href="libBM_8h-source.html#l00302">bdm::mpdf::ep</a>, <a class="el" href="libBM_8h-source.html#l00126">bdm::RV::length()</a>, <a class="el" href="libBM_8h-source.html#l00256">bdm::epdf::marginal()</a>, <a class="el" href="emix_8h-source.html#l00039">nom</a>, <a class="el" href="libBM_8h-source.html#l00300">bdm::mpdf::rvc</a>, <a class="el" href="libBM_8h-source.html#l00437">bdm::datalink_m2e::set_connection()</a>, <a class="el" href="libBM_8h-source.html#l00235">bdm::epdf::set_parameters()</a>, <a class="el" href="libBM_8h-source.html#l00275">bdm::epdf::set_rv()</a>, and <a class="el" href="libBM_8cpp-source.html#l00194">bdm::RV::subt()</a>.</p> |
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214 | |
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215 | </div> |
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216 | </div><p> |
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217 | <hr><h2>Member Function Documentation</h2> |
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218 | <a class="anchor" name="f0c1db6fcbb3aae2dd6123884457a367"></a><!-- doxytag: member="bdm::mratio::samplecond" ref="f0c1db6fcbb3aae2dd6123884457a367" args="(const vec &cond)" --> |
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219 | <div class="memitem"> |
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220 | <div class="memproto"> |
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221 | <table class="memname"> |
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222 | <tr> |
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223 | <td class="memname">virtual vec bdm::mpdf::samplecond </td> |
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224 | <td>(</td> |
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225 | <td class="paramtype">const vec & </td> |
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226 | <td class="paramname"> <em>cond</em> </td> |
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227 | <td> ) </td> |
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228 | <td><code> [inline, virtual, inherited]</code></td> |
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229 | </tr> |
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230 | </table> |
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231 | </div> |
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232 | <div class="memdoc"> |
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233 | |
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234 | <p> |
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235 | Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_50.png">. |
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236 | <p> |
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237 | <dl compact><dt><b>Parameters:</b></dt><dd> |
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238 | <table border="0" cellspacing="2" cellpadding="0"> |
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239 | <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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240 | </table> |
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241 | </dl> |
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242 | |
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243 | <p>Reimplemented in <a class="el" href="classbdm_1_1mprod.html#ee715a8013acf9892f6cb489db595555">bdm::mprod</a>.</p> |
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244 | |
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245 | <p>References <a class="el" href="libBM_8h-source.html#l00329">bdm::mpdf::condition()</a>, <a class="el" href="libBM_8h-source.html#l00302">bdm::mpdf::ep</a>, and <a class="el" href="libBM_8h-source.html#l00242">bdm::epdf::sample()</a>.</p> |
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246 | |
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247 | <p>Referenced by <a class="el" href="libPF_8h-source.html#l00207">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#l00042">bdm::ArxDS::step()</a>.</p> |
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248 | |
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249 | </div> |
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250 | </div><p> |
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251 | <a class="anchor" name="afe4185b26baeb03688202e254d3b005"></a><!-- doxytag: member="bdm::mratio::samplecond_m" ref="afe4185b26baeb03688202e254d3b005" args="(const vec &cond, int N)" --> |
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252 | <div class="memitem"> |
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253 | <div class="memproto"> |
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254 | <table class="memname"> |
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255 | <tr> |
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256 | <td class="memname">virtual mat bdm::mpdf::samplecond_m </td> |
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257 | <td>(</td> |
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258 | <td class="paramtype">const vec & </td> |
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259 | <td class="paramname"> <em>cond</em>, </td> |
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260 | </tr> |
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261 | <tr> |
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262 | <td class="paramkey"></td> |
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263 | <td></td> |
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264 | <td class="paramtype">int </td> |
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265 | <td class="paramname"> <em>N</em></td><td> </td> |
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266 | </tr> |
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267 | <tr> |
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268 | <td></td> |
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269 | <td>)</td> |
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270 | <td></td><td></td><td><code> [inline, virtual, inherited]</code></td> |
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271 | </tr> |
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272 | </table> |
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273 | </div> |
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274 | <div class="memdoc"> |
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275 | |
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276 | <p> |
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277 | Returns. |
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278 | <p> |
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279 | <dl compact><dt><b>Parameters:</b></dt><dd> |
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280 | <table border="0" cellspacing="2" cellpadding="0"> |
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281 | <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_50.png">. </td></tr> |
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282 | <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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283 | </table> |
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284 | </dl> |
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285 | |
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286 | <p>References <a class="el" href="libBM_8h-source.html#l00329">bdm::mpdf::condition()</a>, <a class="el" href="libBM_8h-source.html#l00286">bdm::epdf::dimension()</a>, <a class="el" href="libBM_8h-source.html#l00302">bdm::mpdf::ep</a>, and <a class="el" href="libBM_8h-source.html#l00242">bdm::epdf::sample()</a>.</p> |
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287 | |
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288 | </div> |
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289 | </div><p> |
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290 | <hr>The documentation for this class was generated from the following file:<ul> |
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291 | <li><a class="el" href="emix_8h-source.html">emix.h</a></ul> |
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292 | </div> |
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293 | <hr size="1"><address style="text-align: right;"><small>Generated on Thu Apr 23 21:06:45 2009 for mixpp by |
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294 | <a href="http://www.doxygen.org/index.html"> |
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295 | <img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.8 </small></address> |
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296 | </body> |
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297 | </html> |
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