Alternative Equation Formats

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MathML

\begin{array}{rcl} y_{t + i | t} & = & \sum_{j = 1}^{p} Φ_{j} y_{t + i - j | t} + \sum_{j = 0}^{s} Θ_{j}^{*} x_{t + i - j | t} \\ = & \sum_{j = 1}^{p} Φ_{j} y_{t + i - j | t} + Θ_{0}^{*} x_{t + i | t} + \sum_{j = 1}^{s} Θ_{j}^{*} x_{t + i - j | t} \\ = & \sum_{j = 1}^{p} Φ_{j} y_{t + i - j | t} + Θ_{0}^{*} \sum_{j = 1}^{p} A_{j} x_{t + i - j | t} + \sum_{j = 1}^{s} Θ_{j}^{*} x_{t + i - j | t} \\ = & \sum_{j = 1}^{p} Φ_{j} y_{t + i - j | t} + \sum_{j = 1}^{u} (Θ_{0}^{*} A_{j} + Θ_{j}^{*}) x_{t + i - j | t} \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \mb{y} _{t+i|t} & =& \sum _{j=1}^ p \Phi _ j \mb{y} _{t+i-j|t} + \sum _{j=0}^ s \Theta _ j^* \mb{x} _{t+i-j|t} \\ & =& \sum _{j=1}^ p \Phi _ j \mb{y} _{t+i-j|t} + \Theta _0^* \mb{x} _{t+i|t} + \sum _{j=1}^ s \Theta _ j^* \mb{x} _{t+i-j|t} \\ & =& \sum _{j=1}^ p \Phi _ j \mb{y} _{t+i-j|t} + \Theta _0^* \sum _{j=1}^ p A_ j \mb{x} _{t+i-j|t} + \sum _{j=1}^ s \Theta _ j^* \mb{x} _{t+i-j|t} \\ & =& \sum _{j=1}^ p \Phi _ j \mb{y} _{t+i-j|t} + \sum _{j=1}^ u ( \Theta _0^* A_ j + \Theta _ j^* ) \mb{x} _{t+i-j|t} \\ \end{eqnarray*}