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67  <div class="navpath"><b>bdm</b>::<a class="el" href="classbdm_1_1eDirich.html">eDirich</a>
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71<h1>bdm::eDirich Class Reference</h1><!-- doxytag: class="bdm::eDirich" --><!-- doxytag: inherits="bdm::eEF" -->Dirichlet posterior density. 
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_1eDirich-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="3290613d31d58daa8a45a54b003871fc"></a><!-- doxytag: member="bdm::eDirich::sample" ref="3290613d31d58daa8a45a54b003871fc" args="() const " -->
82vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eDirich.html#3290613d31d58daa8a45a54b003871fc">sample</a> () const </td></tr>
83
84<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_45.png"> from density <img class="formulaInl" alt="$ f_x()$" src="form_46.png">. <br></td></tr>
85<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="cb343355ec791298bb5a3404cd482fb6"></a><!-- doxytag: member="bdm::eDirich::mean" ref="cb343355ec791298bb5a3404cd482fb6" args="() const " -->
86vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eDirich.html#cb343355ec791298bb5a3404cd482fb6">mean</a> () const </td></tr>
87
88<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">return expected value <br></td></tr>
89<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="43c547a2507e233706f92712d8c2aacc"></a><!-- doxytag: member="bdm::eDirich::variance" ref="43c547a2507e233706f92712d8c2aacc" args="() const " -->
90vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eDirich.html#43c547a2507e233706f92712d8c2aacc">variance</a> () const </td></tr>
91
92<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">return expected variance (not covariance!) <br></td></tr>
93<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e09a24938e80c3d94b0ee842d1552318"></a><!-- doxytag: member="bdm::eDirich::evallog_nn" ref="e09a24938e80c3d94b0ee842d1552318" args="(const vec &amp;val) const " -->
94double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eDirich.html#e09a24938e80c3d94b0ee842d1552318">evallog_nn</a> (const vec &amp;val) const </td></tr>
95
96<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">In this instance, val is ... <br></td></tr>
97<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="279a99f6266c82fe2273e83841f19eb2"></a><!-- doxytag: member="bdm::eDirich::lognc" ref="279a99f6266c82fe2273e83841f19eb2" args="() const " -->
98double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eDirich.html#279a99f6266c82fe2273e83841f19eb2">lognc</a> () const </td></tr>
99
100<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">logarithm of the normalizing constant, <img class="formulaInl" alt="$\mathcal{I}$" src="form_79.png"> <br></td></tr>
101<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="175e0add26d2105c28d8121eefb9e324"></a><!-- doxytag: member="bdm::eDirich::_beta" ref="175e0add26d2105c28d8121eefb9e324" args="()" -->
102vec &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eDirich.html#175e0add26d2105c28d8121eefb9e324">_beta</a> ()</td></tr>
103
104<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr>
105<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="deef7d6273ba4d5a5cf0bbd91ec7277a"></a><!-- doxytag: member="bdm::eDirich::dupdate" ref="deef7d6273ba4d5a5cf0bbd91ec7277a" args="(mat &amp;v)" -->
106virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eEF.html#deef7d6273ba4d5a5cf0bbd91ec7277a">dupdate</a> (mat &amp;v)</td></tr>
107
108<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">TODO decide if it is really needed. <br></td></tr>
109<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a36d06ecdd6f4c79dc122510eaccc692"></a><!-- doxytag: member="bdm::eDirich::evallog" ref="a36d06ecdd6f4c79dc122510eaccc692" args="(const vec &amp;val) const " -->
110virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eEF.html#a36d06ecdd6f4c79dc122510eaccc692">evallog</a> (const vec &amp;val) const </td></tr>
111
112<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluate normalized log-probability. <br></td></tr>
113<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="79a7c8ea8c02e45d410bd1d7ffd72b41"></a><!-- doxytag: member="bdm::eDirich::evallog" ref="79a7c8ea8c02e45d410bd1d7ffd72b41" args="(const mat &amp;Val) const " -->
114virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eEF.html#79a7c8ea8c02e45d410bd1d7ffd72b41">evallog</a> (const mat &amp;Val) const </td></tr>
115
116<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluate normalized log-probability for many samples. <br></td></tr>
117<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="cf38af29e8e3d650c640509a52396053"></a><!-- doxytag: member="bdm::eDirich::pow" ref="cf38af29e8e3d650c640509a52396053" args="(double p)" -->
118virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eEF.html#cf38af29e8e3d650c640509a52396053">pow</a> (double p)</td></tr>
119
120<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Power of the density, used e.g. to flatten the density. <br></td></tr>
121<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e47a8bd9337478fa4e46d5a2a4336f9a"></a><!-- doxytag: member="bdm::eDirich::to_string" ref="e47a8bd9337478fa4e46d5a2a4336f9a" args="()" -->
122virtual string&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1bdmroot.html#e47a8bd9337478fa4e46d5a2a4336f9a">to_string</a> ()</td></tr>
123
124<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">This method returns a basic info about the current instance. <br></td></tr>
125<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d4602efd3ad9fb9e4532426e4f488df8"></a><!-- doxytag: member="bdm::eDirich::from_setting" ref="d4602efd3ad9fb9e4532426e4f488df8" args="(const Setting &amp;root)" -->
126virtual 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>
127
128<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>
129<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="dd74cb898b22b95b7ee528e040a07618"></a><!-- doxytag: member="bdm::eDirich::to_setting" ref="dd74cb898b22b95b7ee528e040a07618" args="(Setting &amp;root) const " -->
130virtual 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>
131
132<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">This method save all the instance properties into the Setting structure. <br></td></tr>
133<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d8cc21ea15fc723065eed5f3100757a5"></a><!-- doxytag: member="bdm::eDirich::validate" ref="d8cc21ea15fc723065eed5f3100757a5" args="()" -->
134virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1bdmroot.html#d8cc21ea15fc723065eed5f3100757a5">validate</a> ()</td></tr>
135
136<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">This method TODO. <br></td></tr>
137<tr><td colspan="2"><div class="groupHeader">Constructors</div></td></tr>
138<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d5137485050ca8d67549b514896f602d"></a><!-- doxytag: member="bdm::eDirich::eDirich" ref="d5137485050ca8d67549b514896f602d" args="()" -->
139&nbsp;</td><td class="memItemRight" valign="bottom"><b>eDirich</b> ()</td></tr>
140
141<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="31cc8bf709552c9e7286ac16b27c8e2c"></a><!-- doxytag: member="bdm::eDirich::eDirich" ref="31cc8bf709552c9e7286ac16b27c8e2c" args="(const eDirich &amp;D0)" -->
142&nbsp;</td><td class="memItemRight" valign="bottom"><b>eDirich</b> (const <a class="el" href="classbdm_1_1eDirich.html">eDirich</a> &amp;D0)</td></tr>
143
144<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a961f5846c8db5b2d20e7db483453e0c"></a><!-- doxytag: member="bdm::eDirich::eDirich" ref="a961f5846c8db5b2d20e7db483453e0c" args="(const vec &amp;beta0)" -->
145&nbsp;</td><td class="memItemRight" valign="bottom"><b>eDirich</b> (const vec &amp;beta0)</td></tr>
146
147<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a06af2376976a33e1eceaed7e8da75a5"></a><!-- doxytag: member="bdm::eDirich::set_parameters" ref="a06af2376976a33e1eceaed7e8da75a5" args="(const vec &amp;beta0)" -->
148void&nbsp;</td><td class="memItemRight" valign="bottom"><b>set_parameters</b> (const vec &amp;beta0)</td></tr>
149
150<tr><td colspan="2"><div class="groupHeader">Constructors</div></td></tr>
151<tr><td colspan="2"><div class="groupText">Construction of each <a class="el" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a> should support two types of constructors: <ul>
152<li>empty constructor, </li>
153<li>copy constructor,</li>
154</ul>
155The following constructors should be supported for convenience: <ul>
156<li>constructor followed by calling <code>set_parameters()</code> </li>
157<li>constructor accepting random variables calling <code><a class="el" href="classbdm_1_1epdf.html#f423e28448dbb69ef4905295ec8de8ff" title="Name its rv.">set_rv()</a></code> </li>
158</ul>
159All internal data structures are constructed as empty. Their values (including sizes) will be set by method <code>set_parameters()</code>. This way references can be initialized in constructors. <br><br></div></td></tr>
160<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="840de94aa33cf4f2ebd2427f45a165d8"></a><!-- doxytag: member="bdm::eDirich::set_parameters" ref="840de94aa33cf4f2ebd2427f45a165d8" args="(int dim0)" -->
161void&nbsp;</td><td class="memItemRight" valign="bottom"><b>set_parameters</b> (int dim0)</td></tr>
162
163<tr><td colspan="2"><div class="groupHeader">Matematical Operations</div></td></tr>
164<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b4cf45fd83cc7573ede9fe1215256058"></a><!-- doxytag: member="bdm::eDirich::sample_m" ref="b4cf45fd83cc7573ede9fe1215256058" args="(int N) const " -->
165virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#b4cf45fd83cc7573ede9fe1215256058">sample_m</a> (int N) const </td></tr>
166
167<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_47.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_48.png">. <br></td></tr>
168<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="34956d4dd3176eeb5937cf48a1546b62"></a><!-- doxytag: member="bdm::eDirich::evallog_m" ref="34956d4dd3176eeb5937cf48a1546b62" args="(const mat &amp;Val) const " -->
169virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#34956d4dd3176eeb5937cf48a1546b62">evallog_m</a> (const mat &amp;Val) const </td></tr>
170
171<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Compute log-probability of multiple values argument <code>val</code>. <br></td></tr>
172<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e584eac5579c1b6384947ecf66166c77"></a><!-- doxytag: member="bdm::eDirich::condition" ref="e584eac5579c1b6384947ecf66166c77" args="(const RV &amp;rv) const " -->
173virtual <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#e584eac5579c1b6384947ecf66166c77">condition</a> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;<a class="el" href="classbdm_1_1epdf.html#62c5b8ff71d9ebe6cd58d3c342eb1dc8">rv</a>) const </td></tr>
174
175<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Return conditional density on the given <a class="el" href="classbdm_1_1RV.html" title="Class representing variables, most often random variables.">RV</a>, the remaining rvs will be in conditioning. <br></td></tr>
176<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="3fb2ece54f720b62ad325e61214fa0a1"></a><!-- doxytag: member="bdm::eDirich::marginal" ref="3fb2ece54f720b62ad325e61214fa0a1" args="(const RV &amp;rv) const " -->
177virtual <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#3fb2ece54f720b62ad325e61214fa0a1">marginal</a> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;<a class="el" href="classbdm_1_1epdf.html#62c5b8ff71d9ebe6cd58d3c342eb1dc8">rv</a>) const </td></tr>
178
179<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Return marginal density on the given <a class="el" href="classbdm_1_1RV.html" title="Class representing variables, most often random variables.">RV</a>, the remainig rvs are intergrated out. <br></td></tr>
180<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0a7705e80601957f7226d333a0a6d539"></a><!-- doxytag: member="bdm::eDirich::qbounds" ref="0a7705e80601957f7226d333a0a6d539" args="(vec &amp;lb, vec &amp;ub, double percentage=0.95) const " -->
181virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#0a7705e80601957f7226d333a0a6d539">qbounds</a> (vec &amp;lb, vec &amp;ub, double percentage=0.95) const </td></tr>
182
183<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Lower and upper bounds of <code>percentage</code> % quantile, returns mean-2*sigma as default. <br></td></tr>
184<tr><td colspan="2"><div class="groupHeader">Connection to other classes</div></td></tr>
185<tr><td colspan="2"><div class="groupText">Description of the random quantity via attribute <code>rv</code> is optional. For operations such as sampling <code>rv</code> does not need to be set. However, for <code>marginalization</code> and <code>conditioning</code> <code>rv</code> has to be set. NB: <br><br></div></td></tr>
186<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f423e28448dbb69ef4905295ec8de8ff"></a><!-- doxytag: member="bdm::eDirich::set_rv" ref="f423e28448dbb69ef4905295ec8de8ff" args="(const RV &amp;rv0)" -->
187void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#f423e28448dbb69ef4905295ec8de8ff">set_rv</a> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;rv0)</td></tr>
188
189<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Name its rv. <br></td></tr>
190<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c4b863ff84c7a4882fb3ad18556027f9"></a><!-- doxytag: member="bdm::eDirich::isnamed" ref="c4b863ff84c7a4882fb3ad18556027f9" args="() const " -->
191bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#c4b863ff84c7a4882fb3ad18556027f9">isnamed</a> () const </td></tr>
192
193<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">True if rv is assigned. <br></td></tr>
194<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a4ab378d5e004c3ff3e2d4e64f7bba21"></a><!-- doxytag: member="bdm::eDirich::_rv" ref="a4ab378d5e004c3ff3e2d4e64f7bba21" args="() const " -->
195const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#a4ab378d5e004c3ff3e2d4e64f7bba21">_rv</a> () const </td></tr>
196
197<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Return name (fails when isnamed is false). <br></td></tr>
198<tr><td colspan="2"><div class="groupHeader">Access to attributes</div></td></tr>
199<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7083a65f7b7a0d0d13b2c516bd2ec29c"></a><!-- doxytag: member="bdm::eDirich::dimension" ref="7083a65f7b7a0d0d13b2c516bd2ec29c" args="() const " -->
200int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#7083a65f7b7a0d0d13b2c516bd2ec29c">dimension</a> () const </td></tr>
201
202<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Size of the random variable. <br></td></tr>
203<tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr>
204<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f25886a49b4667af61245de81c83b5d2"></a><!-- doxytag: member="bdm::eDirich::beta" ref="f25886a49b4667af61245de81c83b5d2" args="" -->
205vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eDirich.html#f25886a49b4667af61245de81c83b5d2">beta</a></td></tr>
206
207<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">sufficient statistics <br></td></tr>
208<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="16adac20ec7fe07e1ea0b27d917788ce"></a><!-- doxytag: member="bdm::eDirich::dim" ref="16adac20ec7fe07e1ea0b27d917788ce" args="" -->
209int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#16adac20ec7fe07e1ea0b27d917788ce">dim</a></td></tr>
210
211<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">dimension of the random variable <br></td></tr>
212<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="62c5b8ff71d9ebe6cd58d3c342eb1dc8"></a><!-- doxytag: member="bdm::eDirich::rv" ref="62c5b8ff71d9ebe6cd58d3c342eb1dc8" args="" -->
213<a class="el" href="classbdm_1_1RV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#62c5b8ff71d9ebe6cd58d3c342eb1dc8">rv</a></td></tr>
214
215<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Description of the random variable. <br></td></tr>
216</table>
217<hr><a name="_details"></a><h2>Detailed Description</h2>
218Dirichlet posterior density.
219<p>
220Continuous Dirichlet density of <img class="formulaInl" alt="$n$" src="form_60.png">-dimensional variable <img class="formulaInl" alt="$x$" src="form_28.png"> <p class="formulaDsp">
221<img class="formulaDsp" alt="\[ f(x|\beta) = \frac{\Gamma[\gamma]}{\prod_{i=1}^{n}\Gamma(\beta_i)} \prod_{i=1}^{n}x_i^{\beta_i-1} \]" src="form_61.png">
222<p>
223 where <img class="formulaInl" alt="$\gamma=\sum_i \beta_i$" src="form_62.png">. <hr>The documentation for this class was generated from the following file:<ul>
224<li><a class="el" href="libEF_8h-source.html">libEF.h</a></ul>
225</div>
226<hr size="1"><address style="text-align: right;"><small>Generated on Wed Jun 17 14:13:29 2009 for mixpp by&nbsp;
227<a href="http://www.doxygen.org/index.html">
228<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.8 </small></address>
229</body>
230</html>
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