#
Commutative monads as a theory of distributions

##
Anders Kock

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.

Keywords:
monads, distributions, extensive quantities

2000 MSC:
18C15, 18D25, 46T30

*Theory and Applications of Categories,*
Vol. 26, 2012,
No. 4, pp 97-131.

Published 2012-02-24.

http://www.tac.mta.ca/tac/volumes/26/4/26-04.dvi

http://www.tac.mta.ca/tac/volumes/26/4/26-04.ps

http://www.tac.mta.ca/tac/volumes/26/4/26-04.pdf

ftp://ftp.tac.mta.ca/pub/tac/html/volumes/26/4/26-04.dvi

ftp://ftp.tac.mta.ca/pub/tac/html/volumes/26/4/26-04.ps

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