Alternative Equation Formats

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MathML

\begin{array}{rcl} r_{t} & = & H_{t}^{\frac{1}{2}} ϵ_{t} \\ H_{t} & = & D_{t} S D_{t} \\ D_{t} & = & [\begin{array}{cc} \sqrt{h_{11, t}} & 0 \\ 0 & \sqrt{h_{22, t}} \end{array}] \\ S & = & [\begin{array}{cc} 1 & s_{12} \\ s_{12} & 1 \end{array}] \\ h_{11, t} & = & c_{11} + a_{11, 1} r_{1, t - 1}^{2} + g_{11, 1} h_{11, t - 1} \\ h_{22, t} & = & c_{22} + a_{22, 1} r_{2, t - 1}^{2} + g_{22, 1} h_{22, t - 1} \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} r_ t & = & H_ t ^{\frac{1}{2}} \bepsilon _ t \\ H_ t & = & D_ t S D_ t \\ D_ t & = & \left[ \begin{array}{cc} \sqrt{h_{11,t}} & 0 \\ 0 & \sqrt{h_{22,t}} \end{array} \right] \\ S & = & \left[ \begin{array}{cc} 1 & s_{12} \\ s_{12} & 1 \end{array} \right] \\ h_{11,t} & = & c_{11} + a_{11,1} r_{1,t-1}^2 + g_{11,1} h_{11,t-1} \\ h_{22,t} & = & c_{22} + a_{22,1} r_{2,t-1}^2 + g_{22,1} h_{22,t-1} \end{eqnarray*}