Alternative Equation Formats

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

MathML

z_{t} = [\begin{matrix} y_{t} \\ ⋮ \\ y_{t - p + 1} \\ x_{t} \\ ⋮ \\ x_{t - s + 1} \\ ϵ_{t} \\ ⋮ \\ ϵ_{t - q + 1} \end{matrix}], K = [\begin{matrix} Θ_{0}^{*} \\ 0_{k \times r} \\ ⋮ \\ 0_{k \times r} \\ I_{r} \\ 0_{r \times r} \\ ⋮ \\ 0_{r \times r} \\ 0_{k \times r} \\ ⋮ \\ 0_{k \times r} \end{matrix}], G = [\begin{matrix} I_{k} \\ 0_{k \times k} \\ ⋮ \\ 0_{k \times k} \\ 0_{r \times k} \\ ⋮ \\ 0_{r \times k} \\ I_{k \times k} \\ 0_{k \times k} \\ ⋮ \\ 0_{k \times k} \end{matrix}]

Math Rendered as SVG

Math as LaTeX Source

\[ \mb{z} _{t} = \left[\begin{matrix} \mb{y} _{t} \\ \vdots \\ \mb{y} _{t-p+1} \\ \mb{x} _{t} \\ \vdots \\ \mb{x} _{t-s+1} \\ \bepsilon _{t} \\ \vdots \\ \bepsilon _{t-q+1} \end{matrix}\right], ~ ~ K = \left[\begin{matrix} \Theta ^*_0 \\ 0_{k\times r} \\ \vdots \\ 0_{k\times r} \\ I_ r \\ 0_{r\times r} \\ \vdots \\ 0_{r\times r} \\ 0_{k\times r} \\ \vdots \\ 0_{k\times r} \end{matrix}\right], ~ ~ G = \left[\begin{matrix} I_ k \\ 0_{k\times k} \\ \vdots \\ 0_{k\times k} \\ 0_{r\times k} \\ \vdots \\ 0_{r\times k} \\ I_{k\times k} \\ 0_{k\times k} \\ \vdots \\ 0_{k\times k} \end{matrix}\right] \]