Definition:Distribution Function of Finite Signed Borel Measure

From ProofWiki
Jump to navigation Jump to search


Let $\mu$ be a finite signed Borel measure on $\R$.

We define the distribution function of $\mu$, $F_\mu : \R \to \R$ by:

$\map {F_\mu} x = \map \mu {\hointl {-\infty} x}$

for each $x \in \R$.

Also see

  • Results about distribution functions of finite signed Borel measures can be found here.