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{aligned} M S E [T (Y); β] = & E [{(T (Y) - β)}^{2}] \\ = & E [{(T (Y) - μ_{T})}^{2}] - E [{(β - μ_{T})}^{2}] \\ = & V a r [T (Y)] + {(β - μ_{T})}^{2} \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \mr{MSE}[T(\bY );\beta ] =& \, \, \mr{E}\left[ \left(T(\bY )-\beta \right)^2\right] \\ =& \, \, \mr{E}\left[\left(T(\bY )-\mu _ T\right)^2\right] - \mr{E}\left[\left(\beta - \mu _ T\right)^2\right] \\ =& \, \, \mr{Var}[T(\bY )] + \left(\beta - \mu _ T\right)^2 \end{align*}