Computable Random Variables and Conditioning
Logic in Computer Science
2021-01-05 v1 Probability
Abstract
The aim of this paper is to present an elementary computable theory of random variables, based on the approach to probability via valuations. The theory is based on a type of lower-measurable sets, which are controlled limits of open sets, and extends existing work in this area by providing a computable theory of conditional random variables. The theory is based within the framework of type-two effectivity, so has an explicit direct link with Turing computation, and is expressed in a system of computable types and operations, so has a clean mathematical description.
Cite
@article{arxiv.2101.00956,
title = {Computable Random Variables and Conditioning},
author = {Pieter Collins},
journal= {arXiv preprint arXiv:2101.00956},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:1409.4667