Category:Definitions/Concentration of Signed Measure on Measurable Set

This category contains definitions related to Concentration of Signed Measure on Measurable Set.
Related results can be found in Category:Concentration of Signed Measure on Measurable Set.

Let $\mu$ be a signed measure on $\struct {X, \Sigma}$.

Let $\size \mu$ be the variation of $\mu$.

Let $E \in \Sigma$.

We say that $\mu$ is concentrated on $E$ if and only if:

$\map {\size \mu} {E^c} = 0$