Commutative monads as a theory of distributions

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Abstract

It is shown how the theory of commutative monads provides an axiomatic framework for several aspects of distribution theory in a broad sense, including probability distributions, physical extensive quantities, and Schwartz distributions of compact support. Among the particular aspects considered here are the notions of convolution, density, expectation, and conditional probability.
OriginalsprogEngelsk
TidsskriftTheory and Applications of Categories
Vol/bind26
Nummer4
Sider (fra-til)97-131
Antal sider35
ISSN1201-561X
StatusUdgivet - 2012

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