Alternative Equation Formats

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MathML

S_{a i p w, i} (μ) = [\begin{array}{l} \frac{(1 - t_{i}) y_{i}}{1 - {\hat{e}}_{i}} + {\hat{y}}_{i 0} (\frac{t_{i} - {\hat{e}}_{i}}{1 - {\hat{e}}_{i}}) - μ_{0} \\ \frac{t_{i} y_{i}}{{\hat{e}}_{i}} - {\hat{y}}_{i 1} (\frac{t_{i} - {\hat{e}}_{i}}{{\hat{e}}_{i}}) - μ_{1} \end{array}] = [\begin{array}{l} {\hat{y}}_{i 0} - (\frac{1 - t_{i}}{1 - {\hat{e}}_{i}}) ({\hat{y}}_{i 0} - y_{i}) - μ_{0} \\ {\hat{y}}_{i 1} - (\frac{t_{i}}{{\hat{e}}_{i}}) ({\hat{y}}_{i 1} - y_{i}) - μ_{1} \end{array}]

Math Rendered as SVG

Math as LaTeX Source

\[ \mb{S}_{\mr{aipw},i}(\bmu )= \left[ \begin{array}{l} \frac{(1-t_ i)y_ i}{1-\hat{e}_ i} + \hat{y}_{i0}\left(\frac{t_ i-\hat{e}_ i}{1-\hat{e}_ i} \right) -\mu _0\\ \frac{t_ i y_ i}{\hat{e}_ i} - \hat{y}_{i1}\left(\frac{t_ i-\hat{e}_ i}{\hat{e}_ i} \right) -\mu _1 \end{array} \right] = \left[ \begin{array}{l} \hat{y}_{i0}- \left( \frac{1-t_ i}{1-\hat{e}_ i}\right)(\hat{y}_{i0}-y_ i) -\mu _0\\ \hat{y}_{i1}- \left( \frac{t_ i}{\hat{e}_ i}\right)(\hat{y}_{i1}-y_ i) -\mu _1\\ \end{array} \right] \]