Alternative Equation Formats

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MathML

\begin{array}{rcl} L & = & \sum_{{i : y_{i} = 0}} \ln {Φ (z_{i}^{'} γ) + [1 - Φ (z_{i}^{'} γ)] (1 + α \exp (x_{i}^{'} β))^{- α^{- 1}}} \\ + & \sum_{{i : y_{i} > 0}} \ln [1 - Φ (z_{i}^{'} γ)] \\ + & \sum_{{i : y_{i} > 0}} \sum_{j = 0}^{y_{i} - 1} {\ln (j + α^{- 1})} \\ - & \sum_{{i : y_{i} > 0}} \ln (y_{i}!) \\ - & \sum_{{i : y_{i} > 0}} (y_{i} + α^{- 1}) \ln (1 + α \exp (x_{i}^{'} β)) \\ + & \sum_{{i : y_{i} > 0}} y_{i} \ln (α) \\ + & \sum_{{i : y_{i} > 0}} y_{i} x_{i}^{'} β \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \mathcal{L} & = & \sum _{\{ i: y_{i}=0\} } \ln \left\{ \Phi (\mathbf{z}_{i}'\bgamma ) + \left[ 1 - \Phi (\mathbf{z}_{i}'\bgamma ) \right] (1+\alpha \exp (\mathbf{x}_{i}'\bbeta ))^{-\alpha ^{-1}} \right\} \\ & + & \sum _{\{ i: y_{i}>0\} } \ln \left[ 1 - \Phi (\mathbf{z}_{i}'\bgamma ) \right] \\ & + & \sum _{\{ i: y_{i}>0\} } \sum _{j=0}^{y_{i}-1} \left\{ \ln (j+\alpha ^{-1})\right\} \\ & - & \sum _{\{ i: y_{i}>0\} } \ln (y_{i}!) \\ & - & \sum _{\{ i: y_{i}>0\} } (y_{i}+\alpha ^{-1}) \ln (1+\alpha \exp (\mathbf{x}_{i}^{\prime }\bbeta )) \\ & + & \sum _{\{ i: y_{i}>0\} } y_{i}\ln (\alpha ) \\ & + & \sum _{\{ i: y_{i}>0\} }y_{i} \mathbf{x}_{i}^{\prime }\bbeta \end{eqnarray*}