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| [84] | 24 | </div> |
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| [91] | 25 | <div class="contents"> |
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| [84] | 26 | <h1>mgamma_fix Class Reference</h1><!-- doxytag: class="mgamma_fix" --><!-- doxytag: inherits="mgamma" -->Gamma random walk around a fixed point. |
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| 27 | <a href="#_details">More...</a> |
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| 28 | <p> |
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| 29 | <code>#include <<a class="el" href="libEF_8h-source.html">libEF.h</a>></code> |
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| 30 | <p> |
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| 31 | <div class="dynheader"> |
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| 32 | Inheritance diagram for mgamma_fix:</div> |
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| 33 | <div class="dynsection"> |
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| 34 | <p><center><img src="classmgamma__fix__inherit__graph.png" border="0" usemap="#mgamma__fix__inherit__map" alt="Inheritance graph"></center> |
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| 35 | <map name="mgamma__fix__inherit__map"> |
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| [91] | 36 | <area shape="rect" href="classmgamma.html" title="Gamma random walk." alt="" coords="16,156,91,180"><area shape="rect" href="classmEF.html" title="Exponential family model." alt="" coords="29,81,77,105"><area shape="rect" href="classmpdf.html" title="Conditional probability density, e.g. modeling some dependencies." alt="" coords="28,6,79,30"></map> |
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| [91] | 43 | <area shape="rect" href="classmgamma.html" title="Gamma random walk." alt="" coords="23,351,97,375"><area shape="rect" href="classmEF.html" title="Exponential family model." alt="" coords="5,263,53,287"><area shape="rect" href="classmpdf.html" title="Conditional probability density, e.g. modeling some dependencies." alt="" coords="8,186,59,210"><area shape="rect" href="classRV.html" title="Class representing variables, most often random variables." alt="" coords="41,7,79,31"><area shape="rect" href="classepdf.html" title="Probability density function with numerical statistics, e.g. posterior density." alt="" coords="75,96,120,120"><area shape="rect" href="classeEF.html" title="General conjugate exponential family posterior density." alt="" coords="88,186,133,210"><area shape="rect" href="classegamma.html" title="Gamma posterior density." alt="" coords="77,263,149,287"></map> |
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| [84] | 44 | <center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div> |
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| 45 | |
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| 46 | <p> |
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| 47 | <a href="classmgamma__fix-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0"> |
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| 48 | <tr><td></td></tr> |
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| 49 | <tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> |
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| 50 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b92c3d2e5fd0381033a072e5ef3bcf80"></a><!-- doxytag: member="mgamma_fix::mgamma_fix" ref="b92c3d2e5fd0381033a072e5ef3bcf80" args="(const RV &rv, const RV &rvc)" --> |
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| 51 | </td><td class="memItemRight" valign="bottom"><a class="el" href="classmgamma__fix.html#b92c3d2e5fd0381033a072e5ef3bcf80">mgamma_fix</a> (const <a class="el" href="classRV.html">RV</a> &<a class="el" href="classmpdf.html#f6687c07ff07d47812dd565368ca59eb">rv</a>, const <a class="el" href="classRV.html">RV</a> &<a class="el" href="classmpdf.html#acb7dda792b3cd5576f39fa3129abbab">rvc</a>)</td></tr> |
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| 52 | |
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| 53 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Constructor. <br></td></tr> |
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| 54 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ec6f846896749e27cb7be9fa48dd1cb1"></a><!-- doxytag: member="mgamma_fix::set_parameters" ref="ec6f846896749e27cb7be9fa48dd1cb1" args="(double k0, vec ref0, double l0)" --> |
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| 55 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classmgamma__fix.html#ec6f846896749e27cb7be9fa48dd1cb1">set_parameters</a> (double k0, vec ref0, double l0)</td></tr> |
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| 56 | |
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| 57 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Set value of <code>k</code>. <br></td></tr> |
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| 58 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="6ea3931eec7b7da7b693e45981052460"></a><!-- doxytag: member="mgamma_fix::condition" ref="6ea3931eec7b7da7b693e45981052460" args="(const vec &val)" --> |
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| 59 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classmgamma__fix.html#6ea3931eec7b7da7b693e45981052460">condition</a> (const vec &val)</td></tr> |
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| 60 | |
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| 61 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Update <code>ep</code> so that it represents this <a class="el" href="classmpdf.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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| 62 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a9d646cf758a70126dde7c48790b6e94"></a><!-- doxytag: member="mgamma_fix::set_parameters" ref="a9d646cf758a70126dde7c48790b6e94" args="(double k)" --> |
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| 63 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classmgamma.html#a9d646cf758a70126dde7c48790b6e94">set_parameters</a> (double <a class="el" href="classmgamma.html#43f733cce0245a52363d566099add687">k</a>)</td></tr> |
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| 64 | |
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| 65 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Set value of <code>k</code>. <br></td></tr> |
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| 66 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="9f40dc43885085fad8e3d6652b79e139"></a><!-- doxytag: member="mgamma_fix::samplecond" ref="9f40dc43885085fad8e3d6652b79e139" args="(vec &cond, double &lik)" --> |
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| 67 | vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classmgamma.html#9f40dc43885085fad8e3d6652b79e139">samplecond</a> (vec &cond, double &lik)</td></tr> |
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| 68 | |
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| 69 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Generate one sample of the posterior. <br></td></tr> |
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| 70 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e9d52749793f40aad85b70c6db4435ae"></a><!-- doxytag: member="mgamma_fix::samplecond" ref="e9d52749793f40aad85b70c6db4435ae" args="(vec &cond, vec &lik, int n)" --> |
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| 71 | mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classmgamma.html#e9d52749793f40aad85b70c6db4435ae">samplecond</a> (vec &cond, vec &lik, int n)</td></tr> |
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| 72 | |
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| 73 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Generate matrix of samples of the posterior. <br></td></tr> |
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| 74 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="80b738ece5bd4f8c4edaee4b38906f91"></a><!-- doxytag: member="mgamma_fix::evalcond" ref="80b738ece5bd4f8c4edaee4b38906f91" args="(const vec &dt, const vec &cond)" --> |
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| 75 | virtual double </td><td class="memItemRight" valign="bottom"><a class="el" href="classmpdf.html#80b738ece5bd4f8c4edaee4b38906f91">evalcond</a> (const vec &dt, const vec &cond)</td></tr> |
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| 76 | |
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| 77 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Shortcut for conditioning and evaluation of the internal <a class="el" href="classepdf.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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| 78 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ec9c850305984582548e8deb64f0ffe8"></a><!-- doxytag: member="mgamma_fix::_rvc" ref="ec9c850305984582548e8deb64f0ffe8" args="()" --> |
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| 79 | <a class="el" href="classRV.html">RV</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classmpdf.html#ec9c850305984582548e8deb64f0ffe8">_rvc</a> ()</td></tr> |
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| 80 | |
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| 81 | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br></td></tr> |
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| 82 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e17780ee5b2cfe05922a6c56af1462f8"></a><!-- doxytag: member="mgamma_fix::_epdf" ref="e17780ee5b2cfe05922a6c56af1462f8" args="()" --> |
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| 83 | <a class="el" href="classepdf.html">epdf</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classmpdf.html#e17780ee5b2cfe05922a6c56af1462f8">_epdf</a> ()</td></tr> |
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| 84 | |
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| 85 | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br></td></tr> |
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| 86 | <tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr> |
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| 87 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="3f48c09caddc298901ad75fe7c0529f6"></a><!-- doxytag: member="mgamma_fix::l" ref="3f48c09caddc298901ad75fe7c0529f6" args="" --> |
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| [99] | 88 | double </td><td class="memItemRight" valign="bottom"><a class="el" href="classmgamma__fix.html#3f48c09caddc298901ad75fe7c0529f6">l</a></td></tr> |
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| [84] | 89 | |
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| [99] | 90 | <tr><td class="mdescLeft"> </td><td class="mdescRight">parameter l <br></td></tr> |
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| [84] | 91 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="81ce49029ecc385418619b200dcafeb0"></a><!-- doxytag: member="mgamma_fix::refl" ref="81ce49029ecc385418619b200dcafeb0" args="" --> |
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| [99] | 92 | vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classmgamma__fix.html#81ce49029ecc385418619b200dcafeb0">refl</a></td></tr> |
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| [84] | 93 | |
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| [99] | 94 | <tr><td class="mdescLeft"> </td><td class="mdescRight">reference vector <br></td></tr> |
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| [84] | 95 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="612dbf35c770a780027619aaac2c443e"></a><!-- doxytag: member="mgamma_fix::epdf" ref="612dbf35c770a780027619aaac2c443e" args="" --> |
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| 96 | <a class="el" href="classegamma.html">egamma</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classmgamma.html#612dbf35c770a780027619aaac2c443e">epdf</a></td></tr> |
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| 97 | |
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| 98 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Internal <a class="el" href="classepdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a> that arise by conditioning on <code>rvc</code>. <br></td></tr> |
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| 99 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="43f733cce0245a52363d566099add687"></a><!-- doxytag: member="mgamma_fix::k" ref="43f733cce0245a52363d566099add687" args="" --> |
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| 100 | double </td><td class="memItemRight" valign="bottom"><a class="el" href="classmgamma.html#43f733cce0245a52363d566099add687">k</a></td></tr> |
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| 101 | |
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| [91] | 102 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Constant <img class="formulaInl" alt="$k$" src="form_41.png">. <br></td></tr> |
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| [84] | 103 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5e90652837448bcc29707e7412f99691"></a><!-- doxytag: member="mgamma_fix::_beta" ref="5e90652837448bcc29707e7412f99691" args="" --> |
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| 104 | vec * </td><td class="memItemRight" valign="bottom"><a class="el" href="classmgamma.html#5e90652837448bcc29707e7412f99691">_beta</a></td></tr> |
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| 105 | |
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| 106 | <tr><td class="mdescLeft"> </td><td class="mdescRight">cache of epdf.beta <br></td></tr> |
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| 107 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f6687c07ff07d47812dd565368ca59eb"></a><!-- doxytag: member="mgamma_fix::rv" ref="f6687c07ff07d47812dd565368ca59eb" args="" --> |
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| 108 | <a class="el" href="classRV.html">RV</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classmpdf.html#f6687c07ff07d47812dd565368ca59eb">rv</a></td></tr> |
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| 109 | |
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| 110 | <tr><td class="mdescLeft"> </td><td class="mdescRight">modeled random variable <br></td></tr> |
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| 111 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="acb7dda792b3cd5576f39fa3129abbab"></a><!-- doxytag: member="mgamma_fix::rvc" ref="acb7dda792b3cd5576f39fa3129abbab" args="" --> |
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| 112 | <a class="el" href="classRV.html">RV</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classmpdf.html#acb7dda792b3cd5576f39fa3129abbab">rvc</a></td></tr> |
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| 113 | |
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| 114 | <tr><td class="mdescLeft"> </td><td class="mdescRight">random variable in condition <br></td></tr> |
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| 115 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7aa894208a32f3487827df6d5054424c"></a><!-- doxytag: member="mgamma_fix::ep" ref="7aa894208a32f3487827df6d5054424c" args="" --> |
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| 116 | <a class="el" href="classepdf.html">epdf</a> * </td><td class="memItemRight" valign="bottom"><a class="el" href="classmpdf.html#7aa894208a32f3487827df6d5054424c">ep</a></td></tr> |
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| 117 | |
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| 118 | <tr><td class="mdescLeft"> </td><td class="mdescRight">pointer to internal <a class="el" href="classepdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a> <br></td></tr> |
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| 119 | </table> |
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| 120 | <hr><a name="_details"></a><h2>Detailed Description</h2> |
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| 121 | Gamma random walk around a fixed point. |
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| 122 | <p> |
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| [91] | 123 | Mean value, <img class="formulaInl" alt="$\mu$" src="form_14.png">, of this density is given by a geometric combination of <code>rvc</code> and given fixed point, <img class="formulaInl" alt="$p$" src="form_42.png">. <img class="formulaInl" alt="$l$" src="form_43.png"> is the coefficient of the geometric combimation <p class="formulaDsp"> |
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| [84] | 124 | <img class="formulaDsp" alt="\[ \mu = \mu_{t-1} ^{l} p^{1-l}\]" src="form_18.png"> |
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| 125 | <p> |
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| 126 | <p> |
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| [91] | 127 | Standard deviation of the random walk is proportional to one <img class="formulaInl" alt="$k$" src="form_41.png">-th the mean. This is achieved by setting <img class="formulaInl" alt="$\alpha=k$" src="form_11.png"> and <img class="formulaInl" alt="$\beta=k/\mu$" src="form_12.png">.<p> |
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| [84] | 128 | The standard deviation of the walk is then: <img class="formulaInl" alt="$\mu/\sqrt(k)$" src="form_13.png">. <hr>The documentation for this class was generated from the following file:<ul> |
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| 129 | <li>work/mixpp/bdm/stat/<a class="el" href="libEF_8h-source.html">libEF.h</a></ul> |
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| [91] | 130 | </div> |
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| [106] | 131 | <hr size="1"><address style="text-align: right;"><small>Generated on Fri May 9 23:06:43 2008 for mixpp by |
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| [84] | 132 | <a href="http://www.doxygen.org/index.html"> |
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| [91] | 133 | <img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.5 </small></address> |
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| [84] | 134 | </body> |
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| 135 | </html> |
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