Borel measure

(redirected from Borel probability measure)

Borel measure

[bə′rel ‚mezh·ər]
(mathematics)
A measure defined on the class of all Borel sets of a topological space such that the measure of any compact set is finite.
References in periodicals archive ?
then there exists a Borel probability measure v on [partial derivative]D such that
Equivalence (2) and Lemma 1 imply that if f [member of] CL([beta]), then there exist two Borel probability measures [mu] and v on [partial derivative]D such that f' can be represented as
P ([SIGMA]) = {[micro] : [micro] is a Borel probability measure on [SIGMA]}.
To any measure [micro] [member of] P(R), we assign the Borel probability measure [[micro].