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

Bayesian (/ˈbeɪziən/ BAY-zee-ən or /ˈbeɪʒən/ BAY-zhən) may be either any of a range of concepts and approaches that relate to statistical methods based on Bayes' theorem, or a follower of these methods.^[1]

• Bayes action – Mathematical decision rulePages displaying short descriptions of redirect targets
• Bayes Business School – Business school in London
• Bayes classifier – Classification algorithm in statistics
• Bayes discriminability index – Statistic used in signal detection theoryPages displaying short descriptions of redirect targets
• Bayes error rate – Error rate in statistical mathematics
• Bayes estimator – Mathematical decision rule
• Bayes factor – Ratio of competing statistical models
• 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 – Mathematical rule for inverting probabilities, sometimes called Bayes' rule or Bayesian updating
• Empirical Bayes method – Bayesian statistical inference method
• Evidence under Bayes theorem – Interpretation of probabilityPages displaying short descriptions of redirect targets
• Hierarchical Bayes model – Type of statistical modelPages displaying short descriptions of redirect targets
• Laplace–Bayes estimator – Formula in probability theoryPages displaying short descriptions of redirect targets
• Naive Bayes classifier – Probabilistic classification algorithm
• Random naive Bayes – Tree-based ensemble machine learning methodsPages displaying short descriptions of redirect targets

• Approximate Bayesian computation – Computational method in Bayesian statistics
• Bayesian Analysis (journal)
• Bayesian approaches to brain function – Explaining the brain's abilities through statistical principles
• Bayesian average – Type of average
• 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 estimation of templates in computational anatomy
• Bayesian expected loss – Mathematical relation assigning a probability event to a cost
• Bayesian experimental design – Experimental design framework
• 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 marketing – Application of statistical methods to marketing processes
  • Bayesian inference in motor learning – Statistical tool
  • Bayesian inference in phylogeny – Statistical method for molecular phylogenetics
  • Bayesian inference using Gibbs sampling – Statistical software for Bayesian inference
• Bayesian information criterion – Criterion for model selection (BIC)
  • Widely applicable Bayesian information criterion (WBIC)
• Bayesian interpretation of kernel regularization
• Bayesian Kepler periodogram – Indirect method for finding extrasolar planets and brown dwarfsPages displaying short descriptions of redirect targets
• Bayesian knowledge tracing – Method used in intelligent tutoring systems
• Bayesian learning mechanisms
• Bayesian linear regression – Method of statistical analysis
• 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 of computational anatomy
• Bayesian model reduction – Mathematical method for quicker estimation of probable outcomes
• Bayesian model selection – Ratio of competing statistical modelsPages 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 – Probabilistic graphical representation of causal relationships
• Bayesian neural network – Computational model used in machine learningPages displaying short descriptions of redirect targets
• Bayesian operational modal analysis (BAYOMA)
• Bayesian-optimal mechanism
• Bayesian-optimal pricing
• Bayesian optimization – Sequential model-based optimization of expensive black-box functions
• 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 – Program synthesis technique
• Bayesian quadrature – Method in statistics
• Bayesian regret – Measure of the imperfection of a strategy
• Bayesian search theory – Method for finding lost objects
• Bayesian spam filtering – Probabilistic classification algorithmPages displaying short descriptions of redirect targets
• Bayesian statistics – Theory and paradigm of statistics
• Bayesian structural time series – Statistical technique used for feature selection
• Bayesian support-vector machine – Set of methods for supervised statistical learningPages displaying short descriptions of redirect targets
• Bayesian survival analysis – Statistical method
• Bayesian tool for methylation analysis
• Bayesian vector autoregression – Statistical estimation method
• Bayesian (yacht) – Sailing superyacht sunk in 2024
• Dynamic Bayesian network – Probabilistic graphical model
• International Society for Bayesian Analysis – Learned society for Bayesian statistics
• Perfect Bayesian equilibrium – Solution concept in game theory (PBE)
• Quantum Bayesianism – Interpretation of quantum mechanicsPages displaying short descriptions of redirect targets
• Recursive Bayesian estimation – Process for estimating a probability density function
• Robust Bayesian analysis – Type of sensitivity analysis
• Variable-order Bayesian network
• Variational Bayesian methods – Mathematical methods used in Bayesian inference and machine learning

• 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
• Banburismus – Cryptanalytic process developed by Alan Turing during World War II
• 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
• Dempster–Shafer theory – Mathematical framework to model epistemic uncertainty, a generalization of Bayes' theorem.
• History of statistics § History of Bayesian statistics
• Inverse probability – Old term for the probability distribution of an unobserved variable
• Nested sampling algorithm – Method for numerical integration
• Markov blanket – Subset of variables that contains all the useful information
• Signaling game – Game class in game theory
• List of eponymous laws – Adages and sayings named after a person

• Fienberg, Stephen (2006). "When did Bayesian inference become "Bayesian"?". Bayesian Analysis: 1–41. CiteSeerX 10.1.1.124.8632. {{cite journal}}: Cite uses deprecated parameter |citeseerx= (help)