Thomas Bayes (/beɪz/; c. 1701 – 1761) was an English statistician, philosopher, and Presbyterian minister.

Bayesian (/ˈbeɪˌʒən/ or /ˈbeɪˌzɪən/) refers either to a range of concepts and approaches that relate to statistical methods based on Bayes' theorem, or a follower of these methods. ^[1]

Bayes

• Bayes action – Estimator or decision rule that minimizes the posterior expected value of a loss functionPages displaying short descriptions of redirect targets
• Bayes Business School – Business school in London
• Bayes classifier – classification algorithmPages displaying wikidata descriptions as a fallback
• Bayes discriminability index
• Bayes error rate – error rate of the Bayes classifierPages displaying wikidata descriptions as a fallback
• Bayes estimator – Estimator or decision rule that minimizes the posterior expected value of a loss function
• Bayes factor – Statistical factor used to compare competing hypotheses
• Bayes Impact – Non-profit organization
• Bayes linear statistics
• Bayes prior – Distribution of an uncertain quantityPages displaying short descriptions of redirect targets
• Bayes' theorem / Bayes–Price theorem – Probability based on prior knowledge – sometimes called Bayes' rule or Bayesian updating.
• Empirical Bayes method – A Bayesian statistical inference method in which the prior distribution is estimated from the data
• Evidence under Bayes theorem
• Hierarchical Bayes model – Statistical models of parameters that vary at more than one levelPages displaying short descriptions of redirect targets
• Laplace–Bayes estimator – Probability TheoryPages displaying short descriptions of redirect targets
• Naive Bayes classifier – Probabilistic classification algorithm
• Random naive Bayes – Binary search tree based ensemble machine learning methodPages displaying short descriptions of redirect targets

Bayesian

• Approximate Bayesian computation – Computational method in Bayesian statistics
• Bayesian average
• Bayesian Analysis (journal)
• Bayesian approaches to brain function – Explaining the brain's abilities through statistical principles
• Bayesian bootstrap – Statistical method
• Bayesian control rule – Type of heuristic techniquePages displaying short descriptions of redirect targets
• Bayesian cognitive science
• Bayesian econometrics – Branch of econometrics
• Bayesian efficiency – Analog of Pareto efficiency for situations with incomplete information
• Bayesian epistemology – Probabilistic theory of knowledge
• Bayesian expected loss – Mathematical relation assigning a probability event to a cost
• Bayesian experimental design
• Bayesian game – Game theory concept
• Bayesian hierarchical modeling – Statistical model written in multiple levels
• Bayesian History Matching
• Bayesian inference – Method of statistical inference
• Bayesian inference in phylogeny – Statistical method for molecular phylogenetics
• Bayesian information criterion – Criterion for model selection (BIC)
• Widely applicable Bayesian information criterion (WBIC)
• Bayesian Kepler periodogram – Indirect method for finding extrasolar planets and brown dwarfsPages displaying short descriptions of redirect targets
• Bayesian knowledge tracing
• Bayesian learning mechanisms
• Bayesian linear regression – Method of statistical analysis
• Bayesian model of computational anatomy
• Bayesian model averaging – Statistics and machine learning techniquePages displaying short descriptions of redirect targets (BMA)
• Bayesian model combination – Statistics and machine learning technique (BMC)
• Bayesian model reduction – statistical method for computing the evidence and parameters of modelsPages displaying wikidata descriptions as a fallback
• Bayesian model selection – Statistical factor used to compare competing hypothesesPages displaying short descriptions of redirect targets
• Bayesian multivariate linear regression – Bayesian approach to multivariate linear regression
• Bayesian Nash equilibrium – Game theory conceptPages displaying short descriptions of redirect targets
• Bayesian network – Statistical model
• Bayesian neural network – Computational model used in machine learning, based on connected, hierarchical functionsPages displaying short descriptions of redirect targets
• Bayesian operational modal analysis (BAYOMA)
• Bayesian-optimal mechanism
• Bayesian-optimal pricing
• Bayesian optimization – Statistical optimization technique
• Bayesian poisoning – Technique used by e-mail spammers
• Bayesian probability – Interpretation of probability
• Bayesian procedures – Categorization of data using statistics
• Bayesian programming – Statistics concept
• Bayesian program synthesis – A program synthesis techniquePages displaying wikidata descriptions as a fallback
• Bayesian quadrature – Bayesian quadrature is a method for numerical integration popular in statistics and machine learning
• Bayesian regret – expected difference between the utility of a Bayesian strategy and that of the optimal strategyPages displaying wikidata descriptions as a fallback
• Bayesian search theory – Method for finding lost objects
• Bayesian spam filtering – technique for filtering spam e-mailPages displaying wikidata descriptions as a fallback
• Bayesian statistics – Theory in the field of statistics
• Bayesian structural time series
• Bayesian support-vector machine – Set of methods for supervised statistical learningPages displaying short descriptions of redirect targets
• Bayesian survival analysis
• Bayesian template estimation
• Bayesian tool for methylation analysis – also known as BATMANPages displaying wikidata descriptions as a fallback
• Bayesian vector autoregression – use of Bayesian methods to estimate a vector autoregression modelPages displaying wikidata descriptions as a fallback
• Dynamic Bayesian network – Probabilistic graphical model
• International Society for Bayesian Analysis
• Perfect Bayesian equilibrium – Solution concept in game theory (PBE)
• Quantum Bayesianism – Interpretation of quantum mechanics
• Recursive Bayesian estimation
• Robust Bayesian analysis – Type of sensitivity analysis
• Variable-order Bayesian network
• Variational Bayesian methods – Mathematical methods used in Bayesian inference and machine learning

See also

• Active inference – Hypothesis in neurosciencePages displaying short descriptions of redirect targets
• Admissible decision rule – Type of "good" decision rule in Bayesian statistics
• Aumann's agreement theorem – Theorem in game theory about whether Bayesian agents can agree to disagree
• Banburismus – Cryptanalytic process developed by Alan Turing during World War II, a cryptanalytic process
• Bayesian approaches to brain function – Explaining the brain's abilities through statistical principles
• Bayesian inference in marketing
• Bayesian inference in motor learning – Statistical tool
• Bayesian inference using Gibbs sampling – Statistical software for Bayesian inference (BUGS)
• Bayesian interpretation of kernel regularization
• Bayesian tool for methylation analysis – also known as BATMANPages displaying wikidata descriptions as a fallback (BATMAN)
• Conditional Probability – Probability of an event occurring, given that another event has already occurredPages displaying short descriptions of redirect targets
• Credibility theory – Branch of actuarial mathematics
• Evidence under Bayes' theorem
• Dempster–Shafer theory – Mathematical framework to model epistemic uncertainty, a generalization of Bayes' theorem.
• History of Bayesian statistics
• Inverse probability – Old term for the probability distribution of an unobserved variable
• Inverse resolution – learning logic programs from dataPages displaying wikidata descriptions as a fallback
• Nested sampling algorithm – method in Bayesian statisticsPages displaying wikidata descriptions as a fallback
• Markov blanket
• Polytree – directed acyclic graph whose underlying undirected graph is a treePages displaying wikidata descriptions as a fallback
• Signaling game – Game class in game theory

References

External links

• Fienberg, Stephen (2006). "When did Bayesian inference become "Bayesian"?". Bayesian Analysis: 1–41. CiteSeerX  10.1.1.124.8632.