What does bayes' theorem mean?

Definitions for bayes' theorem
bayes' the·o·rem

This dictionary definitions page includes all the possible meanings, example usage and translations of the word bayes' theorem.

Princeton's WordNet

  1. Bayes' theoremnoun

    (statistics) a theorem describing how the conditional probability of a set of possible causes for a given observed event can be computed from knowledge of the probability of each cause and the conditional probability of the outcome of each cause

Wikipedia

  1. Bayes' theorem

    In probability theory and statistics, Bayes' theorem (alternatively Bayes' law or Bayes' rule), named after Thomas Bayes, describes the probability of an event, based on prior knowledge of conditions that might be related to the event. For example, if the risk of developing health problems is known to increase with age, Bayes' theorem allows the risk to an individual of a known age to be assessed more accurately by conditioning it relative to their age, rather than simply assuming that the individual is typical of the population as a whole. One of the many applications of Bayes' theorem is Bayesian inference, a particular approach to statistical inference. When applied, the probabilities involved in the theorem may have different probability interpretations. With Bayesian probability interpretation, the theorem expresses how a degree of belief, expressed as a probability, should rationally change to account for the availability of related evidence. Bayesian inference is fundamental to Bayesian statistics, being considered by one authority as; "to the theory of probability what Pythagoras's theorem is to geometry."

ChatGPT

  1. bayes' theorem

    Bayes' theorem is a mathematical formula used in probability theory and statistics to calculate conditional probability. It describes the probability of an event based on prior knowledge of factors that might be related to the event. In other words, it gives the probability of an event given that another event has occurred. The theorem is named after Thomas Bayes, an 18th-century English statistician and mathematician.

Wikidata

  1. Bayes' theorem

    In probability theory and statistics, Bayes' theorem is a result that is of importance in the mathematical manipulation of conditional probabilities. It is a result that derives from the more basic axioms of probability. When applied, the probabilities involved in Bayes' theorem may have any of a number of probability interpretations. In one of these interpretations, the theorem is used directly as part of a particular approach to statistical inference. In particular, with the Bayesian interpretation of probability, the theorem expresses how a subjective degree of belief should rationally change to account for evidence: this is Bayesian inference, which is fundamental to Bayesian statistics. However, Bayes' theorem has applications in a wide range of calculations involving probabilities, not just in Bayesian inference. Bayes' theorem is named after Thomas Bayes, who first suggested using the theorem to update beliefs. His work was significantly edited and updated by Richard Price before it was posthumously read at the Royal Society. The ideas gained limited exposure until they were independently rediscovered and further developed by Laplace, who first published the modern formulation in his 1812 Théorie analytique des probabilités.

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Numerology

  1. Chaldean Numerology

    The numerical value of bayes' theorem in Chaldean Numerology is: 8

  2. Pythagorean Numerology

    The numerical value of bayes' theorem in Pythagorean Numerology is: 1

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"bayes' theorem." Definitions.net. STANDS4 LLC, 2024. Web. 28 Mar. 2024. <https://www.definitions.net/definition/bayes%27+theorem>.

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