Title: Bayesian Long Title: IUPAC Gold Book - Bayesian DOI: 10.1351/goldbook.14462 Status: current Definition Attributed to Thomas Bayes (1702–1761), English mathematician. The term is used to designate concepts relating to inverse probability, especially Bayes’ theorem, a theorem expressing the probability of one of a number of mutually exclusive events \(H_{\rm{i}}\), given some other event \(E\), in terms of the probabilities of all the \(H_{\rm{i}}\) independently of \(E\) and the probabilities of \(E\) given each \(H_{\rm{i}}\). Source - PAC, 2009, 81, 829. 'Glossary of terms used in ecotoxicology (IUPAC Recommendations 2009)' on page 843 (https://doi.org/10.1351/PAC-REC-08-07-09) Other Outputs - html: https://goldbook.iupac.org/terms/view/14462/html - json: https://goldbook.iupac.org/terms/view/14462/json - xml: https://goldbook.iupac.org/terms/view/14462/xml Citation: Citation: 'Bayesian' in IUPAC Compendium of Chemical Terminology, 5th ed. International Union of Pure and Applied Chemistry; 2025. Online version 5.0.0, 2025. 10.1351/goldbook.14462 License: The IUPAC Gold Book is licensed under Creative Commons Attribution-ShareAlike CC BY-SA 4.0 International (https://creativecommons.org/licenses/by-sa/4.0/) for individual terms. Collection: If you are interested in licensing the Gold Book for commercial use, please contact the IUPAC Executive Director at executivedirector@iupac.org . Disclaimer: The International Union of Pure and Applied Chemistry (IUPAC) is continuously reviewing and, where needed, updating terms in the Compendium of Chemical Terminology (the IUPAC Gold Book). Users of these terms are encouraged to include the version of a term with its use and to check regularly for updates to term definitions that you are using. Accessed: 2026-04-18T14:06:24+00:00