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- Bayes'_theorem abstract "In probability theory and statistics, Bayes' theorem (alternatively Bayes' law or Bayes' rule) is a result that is of importance in the mathematical manipulation of conditional probabilities. Bayes rule can be derived from more basic axioms of probability, specifically conditional 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. ln 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 (/ˈbeɪz/; 1701–1761), 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.Sir Harold Jeffreys wrote that Bayes' theorem “is to the theory of probability what Pythagoras's theorem is to geometry”.".
- Bayes'_theorem thumbnail Bayes'_Theorem_MMB_01.jpg?width=300.
- Bayes'_theorem wikiPageExternalLink b.html.
- Bayes'_theorem wikiPageExternalLink BayesRuleBookMain.html.
- Bayes'_theorem wikiPageExternalLink BayesTheorem.html.
- Bayes'_theorem wikiPageExternalLink bayestutorial.pdf.
- Bayes'_theorem wikiPageExternalLink book.html.
- Bayes'_theorem wikiPageExternalLink the-theory-that-would-not-die-by-sharon-bertsch-mcgrayne-book-review.html.
- Bayes'_theorem wikiPageExternalLink watch?v=D8VZqxcu0I0.
- Bayes'_theorem wikiPageExternalLink bayes.
- Bayes'_theorem wikiPageExternalLink watch?v=Zxm4Xxvzohk.
- Bayes'_theorem wikiPageID "49569".
- Bayes'_theorem wikiPageRevisionID "605213208".
- Bayes'_theorem hasPhotoCollection Bayes'_theorem.
- Bayes'_theorem id "1051".
- Bayes'_theorem id "p/b015380".
- Bayes'_theorem title "Bayes formula".
- Bayes'_theorem title "Bayes' Theorem".
- Bayes'_theorem title "Bayes' theorem".
- Bayes'_theorem urlname "BayesTheorem".
- Bayes'_theorem subject Category:Bayesian_statistics.
- Bayes'_theorem subject Category:Probability_theorems.
- Bayes'_theorem subject Category:Statistical_theorems.
- Bayes'_theorem type Abstraction100002137.
- Bayes'_theorem type Communication100033020.
- Bayes'_theorem type Message106598915.
- Bayes'_theorem type ProbabilityTheorems.
- Bayes'_theorem type Proposition106750804.
- Bayes'_theorem type Statement106722453.
- Bayes'_theorem type StatisticalTheorems.
- Bayes'_theorem type Theorem106752293.
- Bayes'_theorem comment "In probability theory and statistics, Bayes' theorem (alternatively Bayes' law or Bayes' rule) is a result that is of importance in the mathematical manipulation of conditional probabilities. Bayes rule can be derived from more basic axioms of probability, specifically conditional probability.When applied, the probabilities involved in Bayes' theorem may have any of a number of probability interpretations.".
- Bayes'_theorem label "Bayes' theorem".
- Bayes'_theorem label "Satz von Bayes".
- Bayes'_theorem label "Teorema de Bayes".
- Bayes'_theorem label "Teorema de Bayes".
- Bayes'_theorem label "Teorema di Bayes".
- Bayes'_theorem label "Theorema van Bayes".
- Bayes'_theorem label "Théorème de Bayes".
- Bayes'_theorem label "Twierdzenie Bayesa".
- Bayes'_theorem label "Теорема Байеса".
- Bayes'_theorem label "مبرهنة بايز".
- Bayes'_theorem label "ベイズの定理".
- Bayes'_theorem label "贝叶斯定理".
- Bayes'_theorem sameAs Bayesova_věta.
- Bayes'_theorem sameAs Satz_von_Bayes.
- Bayes'_theorem sameAs Teorema_de_Bayes.
- Bayes'_theorem sameAs Bayesen_teorema.
- Bayes'_theorem sameAs Théorème_de_Bayes.
- Bayes'_theorem sameAs Teorema_Bayes.
- Bayes'_theorem sameAs Teorema_di_Bayes.
- Bayes'_theorem sameAs ベイズの定理.
- Bayes'_theorem sameAs 베이즈_정리.
- Bayes'_theorem sameAs Theorema_van_Bayes.
- Bayes'_theorem sameAs Twierdzenie_Bayesa.
- Bayes'_theorem sameAs Teorema_de_Bayes.
- Bayes'_theorem sameAs m.0d5k4.
- Bayes'_theorem sameAs Mx4rG6yiEISJEdqAAACQJw5drg.
- Bayes'_theorem sameAs Q182505.
- Bayes'_theorem sameAs Q182505.
- Bayes'_theorem sameAs Bayes'_theorem.
- Bayes'_theorem wasDerivedFrom Bayes'_theorem?oldid=605213208.
- Bayes'_theorem depiction Bayes'_Theorem_MMB_01.jpg.
- Bayes'_theorem isPrimaryTopicOf Bayes'_theorem.