Alternative Equation Formats

The equation on this page is available in multiple formats. Depending on your browser, some formats might not render correctly.

MathML

\begin{array}{rcl} u_{i} & = & (\begin{array}{rrrrrrrrrr} α_{i} \\ β_{i} \end{array}) \sim mvn ((\begin{array}{rrrrrrrrrr} 0 \\ 0 \end{array}), (\begin{array}{rrrrrrrrrr} 1 e 6 & 0 \\ 0 & 1 e 6 \end{array})) for i = 1, 2 \\ σ^{2} & \sim & igamma (shape = 0.01, scale = 0.01) \\ e_{i j} | σ^{2} & \sim & normal (0, σ^{2}) \end{array}

MathML rendered with MathJax

\begin{array}{rcl} u_{i} & = & (\begin{array}{rrrrrrrrrr} α_{i} \\ β_{i} \end{array}) \sim mvn ((\begin{array}{rrrrrrrrrr} 0 \\ 0 \end{array}), (\begin{array}{rrrrrrrrrr} 1 e 6 & 0 \\ 0 & 1 e 6 \end{array})) for i = 1, 2 \\ σ^{2} & \sim & igamma (shape = 0.01, scale = 0.01) \\ e_{i j} | σ^{2} & \sim & normal (0, σ^{2}) \end{array}

Math as LaTeX Source

\begin{eqnarray*} u_ i & =& \left( \begin{array}{rrrrrrrrrr} \alpha _ i\\ \beta _ i\\ \end{array} \right) \sim \mbox{mvn} \left( \left( \begin{array}{rrrrrrrrrr} 0\\ 0\\ \end{array} \right), \left( \begin{array}{rrrrrrrrrr} 1e6& 0\\ 0& 1e6\\ \end{array} \right) \right) ~ ~ ~ \mbox{for } i=1, 2 \\ \sigma ^2 & \sim & \mbox{igamma} \left( \mbox{shape}=0.01, \mbox{scale} = 0.01 \right) \\ e_{ij} | \sigma ^2 & \sim & \mbox{normal}(0,\sigma ^2) \end{eqnarray*}