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} - \frac{\partial^{2} l (\hat{λ}, \hat{β})}{\partial λ^{2}} & = & D (\frac{d_{1}}{{\hat{λ}}_{1}^{2}}, \dots, \frac{d_{J}}{{\hat{λ}}_{J}^{2}}) \\ - \frac{\partial^{2} l (\hat{λ}, \hat{β})}{\partial β^{2}} & = & \sum_{j = 1}^{J} {\hat{λ}}_{j} S_{j}^{(2)} (\hat{β}) \\ - \frac{\partial^{2} l (\hat{λ}, \hat{β})}{\partial λ \partial β} & = & (S_{1}^{(1)} (\hat{β}), \dots, S_{J}^{(1)} (\hat{β})) \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} -\frac{\partial ^2l(\hat{\blambda },\hat{\bbeta })}{\partial \blambda ^2} & =& \mc{D} \biggl (\frac{d_1}{\hat{\lambda }_1^2},\ldots ,\frac{d_ J}{\hat{\lambda }_ J^2} \biggr ) \\ -\frac{\partial ^2l(\hat{\blambda },\hat{\bbeta })}{\partial \bbeta ^2} & =& \sum _{j=1}^ J \hat{\lambda }_ j \bS _ j^{(2)}(\hat{\bbeta }) \\ -\frac{\partial ^2l(\hat{\blambda },\hat{\bbeta })}{\partial \blambda \partial \bbeta } & =& (\bS ^{(1)}_1(\hat{\bbeta }), \ldots , \bS ^{(1)}_ J(\hat{\bbeta })) \end{eqnarray*}