Integrated mean squared error (source code)

= Integrated mean squared error
{title2=$\operatorname{MISE}$}

= Mean integrated squared error
{synonym}

The <integrated mean squared error> is $\mathbb E\int_D(\widehat m(x)-m(x))^2\,dx$ over a specified domain $D$. The <Tonelli theorem> permits integration of the pointwise <bias-variance decomposition of mean squared error>.