Alternative Equation Formats

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MathML

\begin{array}{rcl} ℓ & = & \sum_{{i | z_{i} = 0}} \ln [1 - Φ (w_{i}^{'} γ)] \\ + & \sum_{{i | 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}}})] - \ln [Φ (x_{i}^{'} β / σ)]} \end{array}

Math Rendered as SVG

Math as LaTeX Source

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