Alternative Equation Formats

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MathML

\begin{aligned} {M Z}_{α} & = ((T - 1)^{- 1} (y_{T}^{d})^{2} - {\hat{ω}}^{2}) {(2 (T - 1)^{- 2} \sum_{t = 1}^{T - 1} (y_{t}^{d})^{2})}^{- 1} \\ M S B & = {(\frac{\sum_{t = 1}^{T - 1} (y_{t}^{d})^{2}}{(T - 1)^{2} {\hat{ω}}^{2}})}^{1 / 2} \\ {M Z}_{t} & = {M Z}_{α} \times M S B \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} {MZ}_{\alpha } & = ((T-1)^{-1}(y_ T^ d)^2 -\hat{\omega }^2 ) \left(2(T-1)^{-2}\sum _{t=1}^{T-1} (y_{t}^ d)^2 \right)^{-1}\\ {MSB} & =\left( \frac{\sum _{t=1}^{T-1} (y_{t}^ d)^2}{ (T-1)^2 \hat{\omega }^2}\right)^{1/2}\\ {MZ}_ t & = {MZ}_{\alpha } \times {MSB} \end{align*}