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### Bibtex

@article{aee3f03a700b441e8596f240ca5c906b,

title = "Commutative monads as a theory of distributions",

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.",

keywords = "monads, distributions, extensive quantities",

author = "Anders Kock",

year = "2012",

language = "English",

volume = "26",

pages = "97--131",

journal = "Theory and Applications of Categories",

issn = "1201-561X",

publisher = "Mount Allison University Department of Mathematics and Science",

number = "4",

}

### RIS

TY - JOUR

T1 - Commutative monads as a theory of distributions

AU - Kock, Anders

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

KW - monads

KW - distributions

KW - extensive quantities

M3 - Journal article

VL - 26

SP - 97

EP - 131

JO - Theory and Applications of Categories

JF - Theory and Applications of Categories

SN - 1201-561X

IS - 4

ER -