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ENTCS
2007

Admissible Representations of Probability Measures

13 years 2 months ago
Admissible Representations of Probability Measures
In a recent paper, probabilistic processes are used to generate Borel probability measures on topological spaces X that are equipped with a representation in the sense of Type-2 Theory of Effectivity. This gives rise to a natural representation of the set M(X) of Borel probability measures on X. We compare this representation to a canonically constructed representation which encodes a Borel probability measure as a lower semicontinuous function from the open sets to the unit interval. This canonical representation turns out to be admissible with respect to the weak topology on M(X). Moreover, we prove that for countably based topological spaces X the representation via probabilistic processes is equivalent to the canonical representation and thus admissible with respect to the weak topology on M(X).
Matthias Schröder
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2007
Where ENTCS
Authors Matthias Schröder
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