A Definition of Conditional Probability with Non-Stochastic Information

The current definition of a conditional probability enables one to update probabilities only on the basis of stochastic information. This paper provides a definition for conditional probability with non-stochastic information. The definition is derived by a set of axioms, where the information is co...

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Detalles Bibliográficos
Autores principales: Bissiri, Pier Giovanni, Walker, Stephen G.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7513097/
https://www.ncbi.nlm.nih.gov/pubmed/33265661
http://dx.doi.org/10.3390/e20080572
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author Bissiri, Pier Giovanni
Walker, Stephen G.
author_facet Bissiri, Pier Giovanni
Walker, Stephen G.
author_sort Bissiri, Pier Giovanni
collection PubMed
description The current definition of a conditional probability enables one to update probabilities only on the basis of stochastic information. This paper provides a definition for conditional probability with non-stochastic information. The definition is derived by a set of axioms, where the information is connected to the outcome of interest via a loss function. An illustration is presented.
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spelling pubmed-75130972020-11-09 A Definition of Conditional Probability with Non-Stochastic Information Bissiri, Pier Giovanni Walker, Stephen G. Entropy (Basel) Article The current definition of a conditional probability enables one to update probabilities only on the basis of stochastic information. This paper provides a definition for conditional probability with non-stochastic information. The definition is derived by a set of axioms, where the information is connected to the outcome of interest via a loss function. An illustration is presented. MDPI 2018-08-03 /pmc/articles/PMC7513097/ /pubmed/33265661 http://dx.doi.org/10.3390/e20080572 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Bissiri, Pier Giovanni
Walker, Stephen G.
A Definition of Conditional Probability with Non-Stochastic Information
title A Definition of Conditional Probability with Non-Stochastic Information
title_full A Definition of Conditional Probability with Non-Stochastic Information
title_fullStr A Definition of Conditional Probability with Non-Stochastic Information
title_full_unstemmed A Definition of Conditional Probability with Non-Stochastic Information
title_short A Definition of Conditional Probability with Non-Stochastic Information
title_sort definition of conditional probability with non-stochastic information
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7513097/
https://www.ncbi.nlm.nih.gov/pubmed/33265661
http://dx.doi.org/10.3390/e20080572
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