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MathML

\begin{aligned} \frac{d^{2} l}{d θ^{2}} & = n {\frac{- m}{θ^{2}} + g^{'} (\frac{1}{θ} + m) \frac{1}{θ^{4}} + g (\frac{1}{θ} + m) \frac{2}{θ^{3}} - g^{'} (\frac{1}{θ}) \frac{1}{θ^{4}} - g (\frac{1}{θ}) \frac{2}{θ^{3}}} \\ - \frac{2}{θ^{3}} \sum_{i} \log (\sum_{j} u_{i j}^{- θ} - m + 1) \\ + \frac{2}{θ^{2}} \sum_{i} \frac{- \sum_{j} u_{i j}^{- θ} \log u_{i j}}{\sum_{j} u_{i j}^{- θ} - m + 1} \\ - (\frac{1}{θ} + m) \sum_{i} {\frac{\sum_{j} u_{i j}^{- θ} (\log u_{i j})^{2}}{\sum_{j} u_{i j}^{- θ} - m + 1} - {(\frac{\sum_{j} u_{i j}^{- θ} \log u_{i j}}{\sum_{j} u_{i j}^{- θ} - m + 1})}^{2}} \end{aligned}

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Math as LaTeX Source

\begin{align*} \frac{d^2 l}{d \theta ^2} & = n\left\{ \frac{-m}{\theta ^2}+ g'\left(\frac1\theta +m\right)\frac{1}{\theta ^4} + g\left(\frac1\theta +m\right) \frac{2}{\theta ^3} - g'\left(\frac{1}{\theta }\right)\frac{1}{\theta ^4} - g\left(\frac{1}{\theta }\right)\frac{2}{\theta ^3} \right\} \\ & -\frac{2}{\theta ^3}\sum _ i \log \left(\sum _ j u_{ij}^{-\theta } -m+1 \right) \\ & +\frac{2}{\theta ^2}\sum _ i \frac{-\sum _ j u_{ij}^{-\theta }\log u_{ij}}{\sum _ j u_{ij}^{-\theta }-m+1} \\ & - \left(\frac1\theta +m \right) \sum _ i \left\{ \frac{\sum _ j u_{ij}^{-\theta }(\log u_{ij})^2}{\sum _ j u_{ij}^{-\theta }-m+1 } -\left(\frac{\sum _ j u_{ij}^{-\theta }\log u_{ij}}{\sum _ j u_{ij}^{-\theta }-m+1 }\right)^2 \right\} \end{align*}