Alternative Equation Formats

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MathML

U 2 ( β ^ ) = i = 1 n ( Z i ( X i ) Z ¯ ( β , X i ) ) I ( Δ i ϵ i = 1 ) Ω ^ = U 2 ( β ) ^ β = i = 1 n ( S 2 ( 2 ) ( β ^ , X i ) S 2 ( 0 ) ( β ^ , X i ) Z ¯ 2 ( β ^ , X i ) ) I ( Δ i ϵ i = 1 )

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \bU _2(\hat{\bbeta }) & =& \sum _{i=1}^ n \biggl (\bZ _ i(X_ i) - \bar{\bZ }(\bbeta ,X_ i) \biggr ) I(\Delta _ i\epsilon _ i=1) \\ \hat{\bOmega } & =& -\frac{\partial \bU _2(\hat{\bbeta )}}{\partial \bbeta } = \sum _{i=1}^ n \left( \frac{\bS _2^{(2)}(\hat{\bbeta }, X_ i)}{S_2^{(0)}(\hat{\bbeta },X_ i)} - \bar{\bZ }^{\otimes 2}(\hat{\bbeta },X_ i) \right) I(\Delta _ i\epsilon _ i=1) \end{eqnarray*}