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Representing probability measures using probabilistic processesSchröder, Matthias, matematik ; Simpson, AlexIn the Type-2 Theory of Effectivity, one considers representations of topological spaces in which infinite words are used as "names" for the elements they represent. Given such a representation, we ... show that probabilistic processes on infinite words, under which each successive symbol is determined by a finite probabilistic choice, generate Borel probability measures on the represented space. Conversely, for several well-behaved types of space, every Borel probability measure is represented by a corresponding probabilistic process. Accordingly, we consider probabilistic processes as providing "probabilistic names" for Borel probability measures. We show that integration is computable with respect to the induced representation of measures.Source: Computability and Complexity in Analysis (Str. 768-782)Type of material - conference contributionPublish date - 2006Language - englishCOBISS.SI-ID - 17098841
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Schröder, Matthias, matematik | ![]() |
Simpson, Alex | 37834 |
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