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Commutative monads as a theory of distributions

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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.
Original languageEnglish
JournalTheory and Applications of Categories
Pages (from-to)97-131
Number of pages35
Publication statusPublished - 2012

    Research areas

  • monads, distributions, extensive quantities

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