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67 | <div class="navpath"><b>bdm</b>::<a class="el" href="classbdm_1_1mlognorm.html">mlognorm</a> |
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68 | </div> |
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69 | </div> |
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70 | <div class="contents"> |
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71 | <h1>bdm::mlognorm Class Reference</h1><!-- doxytag: class="bdm::mlognorm" --><!-- doxytag: inherits="bdm::mpdf" -->Log-Normal random walk. |
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72 | <a href="#_details">More...</a> |
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73 | <p> |
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74 | <code>#include <<a class="el" href="libEF_8h-source.html">libEF.h</a>></code> |
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75 | <p> |
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76 | |
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77 | <p> |
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78 | <a href="classbdm_1_1mlognorm-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0"> |
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79 | <tr><td></td></tr> |
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80 | <tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> |
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81 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a5d6eb2688d02e0348b96c4fbd7bde41"></a><!-- doxytag: member="bdm::mlognorm::mlognorm" ref="a5d6eb2688d02e0348b96c4fbd7bde41" args="()" --> |
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82 | </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mlognorm.html#a5d6eb2688d02e0348b96c4fbd7bde41">mlognorm</a> ()</td></tr> |
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83 | |
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84 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Constructor. <br></td></tr> |
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85 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="604cab0e8a76f9041dc3c606043bb39f"></a><!-- doxytag: member="bdm::mlognorm::set_parameters" ref="604cab0e8a76f9041dc3c606043bb39f" args="(int size, double k)" --> |
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86 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mlognorm.html#604cab0e8a76f9041dc3c606043bb39f">set_parameters</a> (int size, double k)</td></tr> |
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87 | |
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88 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Set value of <code>k</code>. <br></td></tr> |
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89 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="9106d8fd8bdf2b6be675ffd8f3ca584e"></a><!-- doxytag: member="bdm::mlognorm::condition" ref="9106d8fd8bdf2b6be675ffd8f3ca584e" args="(const vec &val)" --> |
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90 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mlognorm.html#9106d8fd8bdf2b6be675ffd8f3ca584e">condition</a> (const vec &val)</td></tr> |
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91 | |
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92 | <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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93 | <tr><td colspan="2"><div class="groupHeader">Matematical operations</div></td></tr> |
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94 | <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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95 | |
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96 | <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_46.png">. <a href="#f0c1db6fcbb3aae2dd6123884457a367"></a><br></td></tr> |
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97 | <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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98 | |
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99 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Returns. <a href="#afe4185b26baeb03688202e254d3b005"></a><br></td></tr> |
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100 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="6336a8a72462e2a56a3989a220f18b1b"></a><!-- doxytag: member="bdm::mlognorm::evallogcond" ref="6336a8a72462e2a56a3989a220f18b1b" args="(const vec &dt, const vec &cond)" --> |
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101 | 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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102 | |
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103 | <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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104 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0b0ed1ed663071bb7cf4a1349eb94fcb"></a><!-- doxytag: member="bdm::mlognorm::evallogcond_m" ref="0b0ed1ed663071bb7cf4a1349eb94fcb" args="(const mat &Dt, const vec &cond)" --> |
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105 | 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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106 | |
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107 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Matrix version of evallogcond. <br></td></tr> |
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108 | <tr><td colspan="2"><div class="groupHeader">Access to attributes</div></td></tr> |
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109 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5571482d150fbcb72cc36f6694ce1a10"></a><!-- doxytag: member="bdm::mlognorm::_rv" ref="5571482d150fbcb72cc36f6694ce1a10" args="()" --> |
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110 | <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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111 | |
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112 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="26001264236846897bd11e4baad47245"></a><!-- doxytag: member="bdm::mlognorm::_rvc" ref="26001264236846897bd11e4baad47245" args="()" --> |
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113 | <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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114 | |
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115 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1c2bae3e1e90874e72941863974ec0ed"></a><!-- doxytag: member="bdm::mlognorm::dimension" ref="1c2bae3e1e90874e72941863974ec0ed" args="()" --> |
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116 | int </td><td class="memItemRight" valign="bottom"><b>dimension</b> ()</td></tr> |
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117 | |
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118 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="35e135910aed187b7290742f50e61bc8"></a><!-- doxytag: member="bdm::mlognorm::dimensionc" ref="35e135910aed187b7290742f50e61bc8" args="()" --> |
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119 | int </td><td class="memItemRight" valign="bottom"><b>dimensionc</b> ()</td></tr> |
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120 | |
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121 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1892fe3933488942253679f068e9e7f6"></a><!-- doxytag: member="bdm::mlognorm::_epdf" ref="1892fe3933488942253679f068e9e7f6" args="()" --> |
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122 | <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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123 | |
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124 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="05e843fd11c410a99dad2b88c55aca80"></a><!-- doxytag: member="bdm::mlognorm::_e" ref="05e843fd11c410a99dad2b88c55aca80" args="()" --> |
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125 | <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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126 | |
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127 | <tr><td colspan="2"><div class="groupHeader">Connection to other objects</div></td></tr> |
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128 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7631a5570e4ade1420065e8df78f4401"></a><!-- doxytag: member="bdm::mlognorm::set_rvc" ref="7631a5570e4ade1420065e8df78f4401" args="(const RV &rvc0)" --> |
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129 | 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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130 | |
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131 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="18ac26bc2f96ae01ef4eb06178abbd75"></a><!-- doxytag: member="bdm::mlognorm::set_rv" ref="18ac26bc2f96ae01ef4eb06178abbd75" args="(const RV &rv0)" --> |
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132 | 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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133 | |
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134 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f8e3798150b42fd1f3e16ddbbe0e7045"></a><!-- doxytag: member="bdm::mlognorm::isnamed" ref="f8e3798150b42fd1f3e16ddbbe0e7045" args="()" --> |
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135 | bool </td><td class="memItemRight" valign="bottom"><b>isnamed</b> ()</td></tr> |
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136 | |
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137 | <tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr> |
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138 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="56531859a814c60daec38c559455ffca"></a><!-- doxytag: member="bdm::mlognorm::eno" ref="56531859a814c60daec38c559455ffca" args="" --> |
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139 | <a class="el" href="classbdm_1_1elognorm.html">elognorm</a> </td><td class="memItemRight" valign="bottom"><b>eno</b></td></tr> |
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140 | |
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141 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a51128a2e503b8b2ce698244b9e0db1a"></a><!-- doxytag: member="bdm::mlognorm::sig2" ref="a51128a2e503b8b2ce698244b9e0db1a" args="" --> |
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142 | double </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mlognorm.html#a51128a2e503b8b2ce698244b9e0db1a">sig2</a></td></tr> |
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143 | |
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144 | <tr><td class="mdescLeft"> </td><td class="mdescRight">parameter 1/2*sigma^2 <br></td></tr> |
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145 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7d0063f77d899ef22e8c5edd642176d2"></a><!-- doxytag: member="bdm::mlognorm::mu" ref="7d0063f77d899ef22e8c5edd642176d2" args="" --> |
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146 | vec & </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mlognorm.html#7d0063f77d899ef22e8c5edd642176d2">mu</a></td></tr> |
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147 | |
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148 | <tr><td class="mdescLeft"> </td><td class="mdescRight">access <br></td></tr> |
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149 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7c1900976ff13dbc09c9729b3bbff9e6"></a><!-- doxytag: member="bdm::mlognorm::dimc" ref="7c1900976ff13dbc09c9729b3bbff9e6" args="" --> |
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150 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#7c1900976ff13dbc09c9729b3bbff9e6">dimc</a></td></tr> |
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151 | |
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152 | <tr><td class="mdescLeft"> </td><td class="mdescRight">dimension of the condition <br></td></tr> |
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153 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5a5f08950daa08b85b01ddf4e1c36288"></a><!-- doxytag: member="bdm::mlognorm::rvc" ref="5a5f08950daa08b85b01ddf4e1c36288" args="" --> |
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154 | <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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155 | |
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156 | <tr><td class="mdescLeft"> </td><td class="mdescRight">random variable in condition <br></td></tr> |
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157 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5eea43c56d38e4441bfb30270db949c0"></a><!-- doxytag: member="bdm::mlognorm::ep" ref="5eea43c56d38e4441bfb30270db949c0" args="" --> |
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158 | <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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159 | |
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160 | <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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161 | </table> |
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162 | <hr><a name="_details"></a><h2>Detailed Description</h2> |
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163 | Log-Normal random walk. |
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164 | <p> |
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165 | Mean value, <img class="formulaInl" alt="$\mu$" src="form_62.png">, is...<p> |
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166 | ==== Check == vv = Standard deviation of the random walk is proportional to one <img class="formulaInl" alt="$k$" src="form_63.png">-th the mean. This is achieved by setting <img class="formulaInl" alt="$\alpha=k$" src="form_64.png"> and <img class="formulaInl" alt="$\beta=k/\mu$" src="form_65.png">.<p> |
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167 | The standard deviation of the walk is then: <img class="formulaInl" alt="$\mu/\sqrt(k)$" src="form_66.png">. <hr><h2>Member Function Documentation</h2> |
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168 | <a class="anchor" name="f0c1db6fcbb3aae2dd6123884457a367"></a><!-- doxytag: member="bdm::mlognorm::samplecond" ref="f0c1db6fcbb3aae2dd6123884457a367" args="(const vec &cond)" --> |
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169 | <div class="memitem"> |
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170 | <div class="memproto"> |
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171 | <table class="memname"> |
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172 | <tr> |
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173 | <td class="memname">virtual vec bdm::mpdf::samplecond </td> |
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174 | <td>(</td> |
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175 | <td class="paramtype">const vec & </td> |
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176 | <td class="paramname"> <em>cond</em> </td> |
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177 | <td> ) </td> |
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178 | <td><code> [inline, virtual, inherited]</code></td> |
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179 | </tr> |
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180 | </table> |
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181 | </div> |
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182 | <div class="memdoc"> |
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183 | |
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184 | <p> |
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185 | Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">. |
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186 | <p> |
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187 | <dl compact><dt><b>Parameters:</b></dt><dd> |
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188 | <table border="0" cellspacing="2" cellpadding="0"> |
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189 | <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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190 | </table> |
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191 | </dl> |
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192 | |
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193 | <p>Reimplemented in <a class="el" href="classbdm_1_1mprod.html#ee715a8013acf9892f6cb489db595555">bdm::mprod</a>.</p> |
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194 | |
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195 | <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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196 | |
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197 | <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#l00043">bdm::ArxDS::step()</a>.</p> |
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198 | |
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199 | </div> |
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200 | </div><p> |
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201 | <a class="anchor" name="afe4185b26baeb03688202e254d3b005"></a><!-- doxytag: member="bdm::mlognorm::samplecond_m" ref="afe4185b26baeb03688202e254d3b005" args="(const vec &cond, int N)" --> |
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202 | <div class="memitem"> |
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203 | <div class="memproto"> |
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204 | <table class="memname"> |
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205 | <tr> |
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206 | <td class="memname">virtual mat bdm::mpdf::samplecond_m </td> |
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207 | <td>(</td> |
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208 | <td class="paramtype">const vec & </td> |
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209 | <td class="paramname"> <em>cond</em>, </td> |
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210 | </tr> |
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211 | <tr> |
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212 | <td class="paramkey"></td> |
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213 | <td></td> |
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214 | <td class="paramtype">int </td> |
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215 | <td class="paramname"> <em>N</em></td><td> </td> |
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216 | </tr> |
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217 | <tr> |
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218 | <td></td> |
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219 | <td>)</td> |
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220 | <td></td><td></td><td><code> [inline, virtual, inherited]</code></td> |
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221 | </tr> |
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222 | </table> |
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223 | </div> |
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224 | <div class="memdoc"> |
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225 | |
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226 | <p> |
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227 | Returns. |
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228 | <p> |
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229 | <dl compact><dt><b>Parameters:</b></dt><dd> |
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230 | <table border="0" cellspacing="2" cellpadding="0"> |
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231 | <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_46.png">. </td></tr> |
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232 | <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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233 | </table> |
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234 | </dl> |
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235 | |
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236 | <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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237 | |
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238 | </div> |
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239 | </div><p> |
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240 | <hr>The documentation for this class was generated from the following file:<ul> |
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241 | <li><a class="el" href="libEF_8h-source.html">libEF.h</a></ul> |
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242 | </div> |
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243 | <hr size="1"><address style="text-align: right;"><small>Generated on Tue Mar 17 13:52:06 2009 for mixpp by |
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244 | <a href="http://www.doxygen.org/index.html"> |
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245 | <img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.8 </small></address> |
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246 | </body> |
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247 | </html> |
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