Alternative Equation Formats

The equation on this page is available in multiple formats. Depending on your browser, some formats might not render correctly.

MathML

L h i j ( β ) = Δ h i j { Z h i j ( t h i j ) Z ¯ ( β , t h i j ) } ( h , i , j ) A Δ h i j w h i j Y h i j ( t h i j ) exp ( β Z h i j ( t h i j ) ) S ( 0 ) ( β , t h i j ) { Z h i j ( t h i j ) Z ¯ ( β , t h i j ) }

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \bL _{hij}(\bbeta ) & = & \Delta _{hij}\biggl \{ \bZ _{hij}(t_{hij}) - \bar{\bZ }(\bbeta , t_{hij})\biggr \} \\ & & - \sum _{(h\prime , i\prime , j\prime ) \in A} \Delta _{h\prime i\prime j\prime } \frac{w_{h\prime i\prime j\prime }Y_{hij}(t_{h\prime i\prime j\prime }) \exp \left( \bbeta ' \bZ _{hij}(t_{h\prime i\prime j\prime }) \right) }{S^{(0)}(\bbeta ,t_{h\prime i\prime j\prime })} \biggl \{ \bZ _{hij}(t_{h\prime i\prime j\prime }) - \bar{\bZ }(\bbeta ,t_{h\prime i\prime j\prime })\biggr \} \end{eqnarray*}