Alternative Equation Formats

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MathML

\begin{array}{rcl} {\hat{M}}_{h i j} (t) & = & \int_{0}^{t} \frac{1}{d (τ)} \sum_{l = 1}^{d (τ)} d M_{h i j} (\hat{β}, l, τ) \\ = & n_{h i j} (t) - \int_{0}^{t} \frac{1}{d (τ)} \sum_{l = 1}^{d (τ)} y_{h i j} (τ) (1 - δ_{h i j} (τ) \frac{l - 1}{d (τ)}) exp ({\hat{β}}^{'} Z_{h i j} (τ)) d Λ_{0} (\hat{β}, l, τ) \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \hat{M}_{hij}(t) & = & \int _0^ t \frac{1}{d(\tau )} \sum _{l=1}^{d(\tau )} dM_{hij}(\hat{\bbeta },l,\tau ) \\ & = & n_{hij}(t) - \int _0^ t \frac{1}{d(\tau )} \sum _{l=1}^{d(\tau )} y_{hij}(\tau ) \biggl ( 1- \delta _{hij}(\tau ) \frac{l-1}{d(\tau )} \biggr ) \mbox{ exp} \left( \hat{\bbeta }' \bZ _{hij}(\tau ) \right) d\Lambda _0(\hat{\bbeta },l,\tau ) \end{eqnarray*}