Alternative Equation Formats

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

MathML

Y i = [ w i h i ] = X β + [ ϵ w i ϵ h i ] = X β + ϵ i ϵ i ( 0 , [ σ 1 2 σ 12 σ 12 σ 2 2 ] )

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \bY _ i = \left[\begin{array}{ll} w_ i \cr h_ i \end{array}\right] & = \bX \bbeta + \left[\begin{array}{ll} \epsilon _{wi} \cr \epsilon _{hi} \end{array}\right] \\ & = \bX \bbeta + \bepsilon _ i \\ \bepsilon _ i & \sim \left(\mb{0}, \left[\begin{array}{cc} \sigma ^2_1 & \sigma _{12} \cr \sigma _{12} & \sigma ^2_2 \end{array}\right] \right) \end{align*}