Category:Kernel Transformation of Measure

This category contains results about Kernel Transformation of Measure.

The transformation of $\mu$ by $N$ is the mapping $\mu N: \Sigma \to \overline \R$ defined by:

$\ds \forall E \in \Sigma: \map {\mu N} E := \int \map {N_E} x \map {\rd \mu} x$

where $\map {N_E} x = \map N {x, E}$.