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@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 -
