| 76 | <hr/><a name="_details"></a><h2>Detailed Description</h2> |
| 77 | <p>Inverse-Gamma random walk around a fixed point. </p> |
| 78 | <p>Mean value, <img class="formulaInl" alt="$\mu$" src="form_83.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_74.png"/>. <img class="formulaInl" alt="$l$" src="form_93.png"/> is the coefficient of the geometric combimation </p> |
| 79 | <p class="formulaDsp"> |
| 80 | <img class="formulaDsp" alt="\[ \mu = \mu_{t-1} ^{l} p^{1-l}\]" src="form_94.png"/> |
| 81 | </p> |
| 82 | <p>==== Check == vv = Standard deviation of the random walk is proportional to one <img class="formulaInl" alt="$k$" src="form_84.png"/>-th the mean. This is achieved by setting <img class="formulaInl" alt="$\alpha=k$" src="form_85.png"/> and <img class="formulaInl" alt="$\beta=k/\mu$" src="form_86.png"/>.</p> |
| 83 | <p>The standard deviation of the walk is then: <img class="formulaInl" alt="$\mu/\sqrt(k)$" src="form_87.png"/>. </p> |
175 | | <hr/><a name="_details"></a><h2>Detailed Description</h2> |
176 | | <p>Inverse-Gamma random walk around a fixed point. </p> |
177 | | <p>Mean value, <img class="formulaInl" alt="$\mu$" src="form_83.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_74.png"/>. <img class="formulaInl" alt="$l$" src="form_93.png"/> is the coefficient of the geometric combimation </p> |
178 | | <p class="formulaDsp"> |
179 | | <img class="formulaDsp" alt="\[ \mu = \mu_{t-1} ^{l} p^{1-l}\]" src="form_94.png"/> |
180 | | </p> |
181 | | <p>==== Check == vv = Standard deviation of the random walk is proportional to one <img class="formulaInl" alt="$k$" src="form_84.png"/>-th the mean. This is achieved by setting <img class="formulaInl" alt="$\alpha=k$" src="form_85.png"/> and <img class="formulaInl" alt="$\beta=k/\mu$" src="form_86.png"/>.</p> |
182 | | <p>The standard deviation of the walk is then: <img class="formulaInl" alt="$\mu/\sqrt(k)$" src="form_87.png"/>. </p> |