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67  <div class="navpath"><b>bdm</b>::<a class="el" href="classbdm_1_1migamma.html">migamma</a>
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70<div class="contents">
71<h1>bdm::migamma Class Reference</h1><!-- doxytag: class="bdm::migamma" --><!-- doxytag: inherits="bdm::mEF" -->Inverse-Gamma random walk. 
72<a href="#_details">More...</a>
73<p>
74<code>#include &lt;<a class="el" href="libEF_8h-source.html">libEF.h</a>&gt;</code>
75<p>
76
77<p>
78<a href="classbdm_1_1migamma-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0">
79<tr><td></td></tr>
80<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr>
81<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)" -->
82void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1migamma.html#8b10ab922e2a7bae2fb6bb3efc7b6151">set_parameters</a> (int len, double k0)</td></tr>
83
84<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Set value of <code>k</code>. <br></td></tr>
85<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 &amp;val)" -->
86void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1migamma.html#7a34b1e2e3aa2250d7c0ed7df1665b8c">condition</a> (const vec &amp;val)</td></tr>
87
88<tr><td class="mdescLeft">&nbsp;</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>
89<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e47a8bd9337478fa4e46d5a2a4336f9a"></a><!-- doxytag: member="bdm::migamma::to_string" ref="e47a8bd9337478fa4e46d5a2a4336f9a" args="()" -->
90virtual string&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1bdmroot.html#e47a8bd9337478fa4e46d5a2a4336f9a">to_string</a> ()</td></tr>
91
92<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">This method returns a basic info about the current instance. <br></td></tr>
93<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d4602efd3ad9fb9e4532426e4f488df8"></a><!-- doxytag: member="bdm::migamma::from_setting" ref="d4602efd3ad9fb9e4532426e4f488df8" args="(const Setting &amp;root)" -->
94virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1bdmroot.html#d4602efd3ad9fb9e4532426e4f488df8">from_setting</a> (const Setting &amp;root)</td></tr>
95
96<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">This method arrange instance properties according the data stored in the Setting structure. <br></td></tr>
97<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="dd74cb898b22b95b7ee528e040a07618"></a><!-- doxytag: member="bdm::migamma::to_setting" ref="dd74cb898b22b95b7ee528e040a07618" args="(Setting &amp;root) const " -->
98virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1bdmroot.html#dd74cb898b22b95b7ee528e040a07618">to_setting</a> (Setting &amp;root) const </td></tr>
99
100<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">This method save all the instance properties into the Setting structure. <br></td></tr>
101<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d8cc21ea15fc723065eed5f3100757a5"></a><!-- doxytag: member="bdm::migamma::validate" ref="d8cc21ea15fc723065eed5f3100757a5" args="()" -->
102virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1bdmroot.html#d8cc21ea15fc723065eed5f3100757a5">validate</a> ()</td></tr>
103
104<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">This method TODO. <br></td></tr>
105<tr><td colspan="2"><div class="groupHeader">Constructors</div></td></tr>
106<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b109fa502a9ab521dfb48412fd45fca7"></a><!-- doxytag: member="bdm::migamma::migamma" ref="b109fa502a9ab521dfb48412fd45fca7" args="()" -->
107&nbsp;</td><td class="memItemRight" valign="bottom"><b>migamma</b> ()</td></tr>
108
109<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 &amp;m)" -->
110&nbsp;</td><td class="memItemRight" valign="bottom"><b>migamma</b> (const <a class="el" href="classbdm_1_1migamma.html">migamma</a> &amp;m)</td></tr>
111
112<tr><td colspan="2"><div class="groupHeader">Matematical operations</div></td></tr>
113<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#f0c1db6fcbb3aae2dd6123884457a367">samplecond</a> (const vec &amp;cond)</td></tr>
114
115<tr><td class="mdescLeft">&nbsp;</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_49.png">.  <a href="#f0c1db6fcbb3aae2dd6123884457a367"></a><br></td></tr>
116<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#afe4185b26baeb03688202e254d3b005">samplecond_m</a> (const vec &amp;cond, int N)</td></tr>
117
118<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns.  <a href="#afe4185b26baeb03688202e254d3b005"></a><br></td></tr>
119<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 &amp;dt, const vec &amp;cond)" -->
120virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#6336a8a72462e2a56a3989a220f18b1b">evallogcond</a> (const vec &amp;dt, const vec &amp;cond)</td></tr>
121
122<tr><td class="mdescLeft">&nbsp;</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>
123<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 &amp;Dt, const vec &amp;cond)" -->
124virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#0b0ed1ed663071bb7cf4a1349eb94fcb">evallogcond_m</a> (const mat &amp;Dt, const vec &amp;cond)</td></tr>
125
126<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Matrix version of evallogcond. <br></td></tr>
127<tr><td colspan="2"><div class="groupHeader">Access to attributes</div></td></tr>
128<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5571482d150fbcb72cc36f6694ce1a10"></a><!-- doxytag: member="bdm::migamma::_rv" ref="5571482d150fbcb72cc36f6694ce1a10" args="()" -->
129<a class="el" href="classbdm_1_1RV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><b>_rv</b> ()</td></tr>
130
131<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="26001264236846897bd11e4baad47245"></a><!-- doxytag: member="bdm::migamma::_rvc" ref="26001264236846897bd11e4baad47245" args="()" -->
132<a class="el" href="classbdm_1_1RV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><b>_rvc</b> ()</td></tr>
133
134<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1c2bae3e1e90874e72941863974ec0ed"></a><!-- doxytag: member="bdm::migamma::dimension" ref="1c2bae3e1e90874e72941863974ec0ed" args="()" -->
135int&nbsp;</td><td class="memItemRight" valign="bottom"><b>dimension</b> ()</td></tr>
136
137<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="35e135910aed187b7290742f50e61bc8"></a><!-- doxytag: member="bdm::migamma::dimensionc" ref="35e135910aed187b7290742f50e61bc8" args="()" -->
138int&nbsp;</td><td class="memItemRight" valign="bottom"><b>dimensionc</b> ()</td></tr>
139
140<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1892fe3933488942253679f068e9e7f6"></a><!-- doxytag: member="bdm::migamma::_epdf" ref="1892fe3933488942253679f068e9e7f6" args="()" -->
141<a class="el" href="classbdm_1_1epdf.html">epdf</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>_epdf</b> ()</td></tr>
142
143<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="05e843fd11c410a99dad2b88c55aca80"></a><!-- doxytag: member="bdm::migamma::_e" ref="05e843fd11c410a99dad2b88c55aca80" args="()" -->
144<a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><b>_e</b> ()</td></tr>
145
146<tr><td colspan="2"><div class="groupHeader">Connection to other objects</div></td></tr>
147<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 &amp;rvc0)" -->
148void&nbsp;</td><td class="memItemRight" valign="bottom"><b>set_rvc</b> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;rvc0)</td></tr>
149
150<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 &amp;rv0)" -->
151void&nbsp;</td><td class="memItemRight" valign="bottom"><b>set_rv</b> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;rv0)</td></tr>
152
153<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f8e3798150b42fd1f3e16ddbbe0e7045"></a><!-- doxytag: member="bdm::migamma::isnamed" ref="f8e3798150b42fd1f3e16ddbbe0e7045" args="()" -->
154bool&nbsp;</td><td class="memItemRight" valign="bottom"><b>isnamed</b> ()</td></tr>
155
156<tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr>
157<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a31b39d4179551b593c9e0d7d756783a"></a><!-- doxytag: member="bdm::migamma::epdf" ref="a31b39d4179551b593c9e0d7d756783a" args="" -->
158<a class="el" href="classbdm_1_1eigamma.html">eigamma</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1migamma.html#a31b39d4179551b593c9e0d7d756783a">epdf</a></td></tr>
159
160<tr><td class="mdescLeft">&nbsp;</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>
161<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="dc56bc9da542e0103ec16b9be8e5e38c"></a><!-- doxytag: member="bdm::migamma::k" ref="dc56bc9da542e0103ec16b9be8e5e38c" args="" -->
162double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1migamma.html#dc56bc9da542e0103ec16b9be8e5e38c">k</a></td></tr>
163
164<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constant <img class="formulaInl" alt="$k$" src="form_68.png">. <br></td></tr>
165<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c9847093da59a9ba0ebb68d2c592f5dc"></a><!-- doxytag: member="bdm::migamma::_alpha" ref="c9847093da59a9ba0ebb68d2c592f5dc" args="" -->
166vec &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1migamma.html#c9847093da59a9ba0ebb68d2c592f5dc">_alpha</a></td></tr>
167
168<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">cache of epdf.alpha <br></td></tr>
169<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0d854c047001b5465cf1ba21f52904b5"></a><!-- doxytag: member="bdm::migamma::_beta" ref="0d854c047001b5465cf1ba21f52904b5" args="" -->
170vec &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1migamma.html#0d854c047001b5465cf1ba21f52904b5">_beta</a></td></tr>
171
172<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">cache of epdf.beta <br></td></tr>
173<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7c1900976ff13dbc09c9729b3bbff9e6"></a><!-- doxytag: member="bdm::migamma::dimc" ref="7c1900976ff13dbc09c9729b3bbff9e6" args="" -->
174int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#7c1900976ff13dbc09c9729b3bbff9e6">dimc</a></td></tr>
175
176<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">dimension of the condition <br></td></tr>
177<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5a5f08950daa08b85b01ddf4e1c36288"></a><!-- doxytag: member="bdm::migamma::rvc" ref="5a5f08950daa08b85b01ddf4e1c36288" args="" -->
178<a class="el" href="classbdm_1_1RV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#5a5f08950daa08b85b01ddf4e1c36288">rvc</a></td></tr>
179
180<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">random variable in condition <br></td></tr>
181<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5eea43c56d38e4441bfb30270db949c0"></a><!-- doxytag: member="bdm::migamma::ep" ref="5eea43c56d38e4441bfb30270db949c0" args="" -->
182<a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#5eea43c56d38e4441bfb30270db949c0">ep</a></td></tr>
183
184<tr><td class="mdescLeft">&nbsp;</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>
185</table>
186<hr><a name="_details"></a><h2>Detailed Description</h2>
187Inverse-Gamma random walk.
188<p>
189Mean value, <img class="formulaInl" alt="$ \mu $" src="form_72.png">, of this density is given by <code>rvc</code> . Standard deviation of the random walk is proportional to one <img class="formulaInl" alt="$ k $" src="form_73.png">-th the mean. This is achieved by setting <img class="formulaInl" alt="$ \alpha=\mu/k^2+2 $" src="form_74.png"> and <img class="formulaInl" alt="$ \beta=\mu(\alpha-1)$" src="form_75.png">.<p>
190The standard deviation of the walk is then: <img class="formulaInl" alt="$ \mu/\sqrt(k)$" src="form_76.png">. <hr><h2>Member Function Documentation</h2>
191<a class="anchor" name="f0c1db6fcbb3aae2dd6123884457a367"></a><!-- doxytag: member="bdm::migamma::samplecond" ref="f0c1db6fcbb3aae2dd6123884457a367" args="(const vec &amp;cond)" -->
192<div class="memitem">
193<div class="memproto">
194      <table class="memname">
195        <tr>
196          <td class="memname">virtual vec bdm::mpdf::samplecond           </td>
197          <td>(</td>
198          <td class="paramtype">const vec &amp;&nbsp;</td>
199          <td class="paramname"> <em>cond</em>          </td>
200          <td>&nbsp;)&nbsp;</td>
201          <td><code> [inline, virtual, inherited]</code></td>
202        </tr>
203      </table>
204</div>
205<div class="memdoc">
206
207<p>
208Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_49.png">.
209<p>
210<dl compact><dt><b>Parameters:</b></dt><dd>
211  <table border="0" cellspacing="2" cellpadding="0">
212    <tr><td valign="top"></td><td valign="top"><em>cond</em>&nbsp;</td><td>is numeric value of <code>rv</code> </td></tr>
213  </table>
214</dl>
215
216<p>Reimplemented in <a class="el" href="classbdm_1_1mprod.html#ee715a8013acf9892f6cb489db595555">bdm::mprod</a>.</p>
217
218<p>References <a class="el" href="libBM_8h-source.html#l00345">bdm::mpdf::condition()</a>, <a class="el" href="libBM_8h-source.html#l00318">bdm::mpdf::ep</a>, and <a class="el" href="libBM_8h-source.html#l00258">bdm::epdf::sample()</a>.</p>
219
220<p>Referenced by <a class="el" href="libPF_8h-source.html#l00207">bdm::MPF&lt; BM_T &gt;::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>
221
222</div>
223</div><p>
224<a class="anchor" name="afe4185b26baeb03688202e254d3b005"></a><!-- doxytag: member="bdm::migamma::samplecond_m" ref="afe4185b26baeb03688202e254d3b005" args="(const vec &amp;cond, int N)" -->
225<div class="memitem">
226<div class="memproto">
227      <table class="memname">
228        <tr>
229          <td class="memname">virtual mat bdm::mpdf::samplecond_m           </td>
230          <td>(</td>
231          <td class="paramtype">const vec &amp;&nbsp;</td>
232          <td class="paramname"> <em>cond</em>, </td>
233        </tr>
234        <tr>
235          <td class="paramkey"></td>
236          <td></td>
237          <td class="paramtype">int&nbsp;</td>
238          <td class="paramname"> <em>N</em></td><td>&nbsp;</td>
239        </tr>
240        <tr>
241          <td></td>
242          <td>)</td>
243          <td></td><td></td><td><code> [inline, virtual, inherited]</code></td>
244        </tr>
245      </table>
246</div>
247<div class="memdoc">
248
249<p>
250Returns.
251<p>
252<dl compact><dt><b>Parameters:</b></dt><dd>
253  <table border="0" cellspacing="2" cellpadding="0">
254    <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_49.png">. </td></tr>
255    <tr><td valign="top"></td><td valign="top"><em>cond</em>&nbsp;</td><td>is numeric value of <code>rv</code> </td></tr>
256  </table>
257</dl>
258
259<p>References <a class="el" href="libBM_8h-source.html#l00345">bdm::mpdf::condition()</a>, <a class="el" href="libBM_8h-source.html#l00302">bdm::epdf::dimension()</a>, <a class="el" href="libBM_8h-source.html#l00318">bdm::mpdf::ep</a>, and <a class="el" href="libBM_8h-source.html#l00258">bdm::epdf::sample()</a>.</p>
260
261</div>
262</div><p>
263<hr>The documentation for this class was generated from the following file:<ul>
264<li><a class="el" href="libEF_8h-source.html">libEF.h</a></ul>
265</div>
266<hr size="1"><address style="text-align: right;"><small>Generated on Mon Jun 15 13:47:08 2009 for mixpp by&nbsp;
267<a href="http://www.doxygen.org/index.html">
268<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.8 </small></address>
269</body>
270</html>
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