Borel measure

(redirected from Borel probability measure)
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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 ?
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
This mapping is a bijection between Borel probability measures on R and C.
Suppose that there exist a system [{[u.sub.v]}.sub.v[member of]v] of Borel probability measures on [R.sub.+] and a system [{[epsilon].sub.v}.sub.v[member of]V] of nonnegative real numbers such that
We will denote by d the distance on M, by B the Borel [sigma]-algebra on M, by m the normalized Riemannian volume (Lebesgue measure) on M, and by M the space of Borel probability measures on M with the weak topology.