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 inference
  • Bayesian information criterion
  • Bayesian multivariate linear regression
    • Bayesian linear regression, a special case
  • Bayesian network
  • Empirical Bayes method
  • Naive Bayes classifier
  • Bayesian additive regression kernels
  • 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 brain