Alternative Equation Formats

The equation on this page is available in multiple formats. Depending on your browser, some formats might not render correctly.

MathML

\begin{array}{rcl} y_{t + l | t} & = & \sum_{j = 1}^{p} Φ_{j} y_{t + l - j | t} + \sum_{j = 0}^{s} Θ_{j}^{*} x_{t + l - j | t} - \sum_{j = l}^{q} Θ_{j} ϵ_{t + l - j}, l \leq q \\ y_{t + l | t} & = & \sum_{j = 1}^{p} Φ_{j} y_{t + l - j | t} + \sum_{j = 0}^{s} Θ_{j}^{*} x_{t + l - j | t}, l > q \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \mb{y} _{t+l|t} & =& \sum _{j=1}^ p \Phi _ j \mb{y} _{t+l-j|t} + \sum _{j=0}^ s \Theta _ j^* \mb{x} _{t+l-j|t} - \sum _{j=l}^ q \Theta _ j \bepsilon _{t+l-j}, ~ ~ l \leq q \\ \mb{y} _{t+l|t} & =& \sum _{j=1}^ p \Phi _ j \mb{y} _{t+l-j|t} + \sum _{j=0}^ s \Theta _ j^* \mb{x} _{t+l-j|t}, ~ ~ l > q \end{eqnarray*}