Alternative Equation Formats

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MathML

V ( 1 ) ( t ) = ( j = 1 n e β ^ ξ j S ^ ( t , ξ j ) ) 2 t i t d ( t i ) [ S ( 0 ) ( β ^ , t i ) ] 2 V ( 2 ) ( t ) = ( j = 1 n S ^ ( t , ξ j ) H ( t , ξ j ) ) [ I ( β ^ ) ] 1 ( j = 1 n S ^ ( t , ξ j ) H ( t , ξ j ) )

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} V^{(1)}(t)& =& \biggl ( \sum _{j=1}^ n \mr{e}^{\hat{\bbeta }'\bxi _ j} \hat{S}(t,\bxi _ j) \biggr )^2 \sum _{t_ i\leq t} \frac{d(t_ i)}{[S^{(0)}(\hat{\bbeta },t_ i)]^2} \\ V^{(2)}(t)& =& \biggl (\sum _{j=1}^ n \hat{S}(t,\bxi _ j)H(t,\bxi _ j)\biggr )' \biggl [\mc{I}(\hat{\bbeta }) \biggr ]^{-1} \biggl (\sum _{j=1}^ n \hat{S}(t,\bxi _ j) H(t,\bxi _ j) \biggr ) \end{eqnarray*}