Alternative Equation Formats

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MathML

\begin{array}{rcl} \hat{β} (m, j + 1) & = & {(\sum_{t} Y_{m, t - j - 1} Y_{m, t - j - 1}^{'})}^{- 1} (\sum_{t} Y_{m, t - j - 1} Y_{m, t}^{'}) \\ {\hat{β}}^{*} (m, j + 1) & = & {(\sum_{t} Y_{m, t} Y_{m, t}^{'})}^{- 1} (\sum_{t} Y_{m, t} Y_{m, t - j - 1}^{'}) \\ {\hat{A}}^{*} (m, j) & = & {\hat{β}}^{*} (m, j + 1) \hat{β} (m, j + 1) \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \hat{\beta }(m,j+1) & =& \left( \sum _ t Y_{m,t-j-1}Y_{m,t-j-1}' \right)^{-1} \left( \sum _ t Y_{m,t-j-1}Y_{m,t}' \right) \nonumber \\ \hat{\beta }^*(m,j+1) & =& \left( \sum _ t Y_{m,t}Y_{m,t}' \right)^{-1} \left( \sum _ t Y_{m,t}Y_{m,t-j-1} ' \right) \nonumber \\ \hat{A}^*(m,j) & =& \hat{\beta }^*(m,j+1)\hat{\beta }(m,j+1) \nonumber \end{eqnarray*}