Alternative Equation Formats

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MathML

\begin{array}{rcl} ℓ & = & \sum_{i \in {z_{i} = 0}} \ln [1 - Φ (w_{i}^{'} γ)] \\ + & \sum_{i \in {z_{i} = 1}} {\ln ϕ (\frac{y_{i} - {x_{i}}^{'} β}{σ}) - \ln σ + \ln Φ (\frac{w_{i}^{'} γ + ρ \frac{y_{i} - {x_{i}}^{'} β}{σ}}{\sqrt{1 - ρ^{2}}})} \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \ell & =& \sum _{i\in \{ z_{i}=0\} }\ln [1-\Phi (\mb{w}_{i}'\bgamma )] \\ & +& \sum _{i\in \{ z_{i}=1\} } \left\{ \ln \phi (\frac{y_ i-\mb{x_ i}'\bbeta }{\sigma }) - \ln \sigma + \ln \Phi \left(\frac{\mb{w}_{i}'\bgamma + \rho \frac{y_ i-\mb{x_ i}'\bbeta }{\sigma }}{\sqrt{1-\rho ^2}}\right) \right\} \end{eqnarray*}