Alex Simpson: Synthetic probability theory
Автор: Paolo Perrone
Загружено: 2020-06-08
Просмотров: 1650
Talk at the Categorical Probability and Statistics workshop 2020:
http://perimeterinstitute.ca/personal...
Title: Synthetic probability theory
Speaker: Alex Simpson
Chair: Arthur Parzygnat
Date: June 8, 2020
Abstract:
I shall outline an alternative to the standard set-theoretic formulation of probability theory, based on a category-theory-influenced axiomatisation of the notion of "random variable" as a primitive concept. The axioms capture desirable properties of random variables, not all of which apply to random variables as usually defined. They are designed to support a streamlined development of probability theory, in which sample spaces play no role and one (almost) never needs to consider sigma-algebras and associated notions of measurability.
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