Bayesian

Part of a series on Statistics
Bayesian statistics
Theory
Admissible decision rule Bayesian efficiency Bayesian probability Probability interpretations Bayes' theorem Bayes' rule Bayes factor Bayesian inference Bayesian network Prior Posterior Likelihood Conjugate prior Posterior predictive Hyperparameter Hyperprior Principle of indifference Principle of maximum entropy Empirical Bayes method Cromwell's rule Bernstein–von Mises theorem Bayesian information criterion Credible interval Maximum a posteriori estimation
Techniques
Bayesian linear regression Bayesian estimator Approximate Bayesian computation

Bayesian refers to methods in probability and statistics named after Thomas Bayes (c. 1702–61), in particular methods related to statistical inference:

• Bayesian probability or degree-of-belief interpretation of probability, as opposed to frequency or proportion or propensity interpretations
• Bayes' theorem on conditional probability
• Bayesian inference

These methods include:

• Bayes estimator
• Bayes factor
• Bayesian average
• Bayesian spam filtering
• Bayesian game
• Bayesian information criterion
• Bayesian multivariate linear regression
  • Bayesian linear regression, a special case
• Bayesian network
• Empirical Bayes method
• Naive Bayes classifier
• Bayesian econometrics
• Bayesian experimental design
• Bayesian inference in phylogeny
• Bayesian search theory
• Bayesian vector autoregression

Bayesian also refers to the application of this probability theory to the functioning of the brain:

• Bayesian approaches to brain function

Bayesian methods have been also applied to the interpretation of quantum mechanics:

• Quantum Bayesianism