Bayesian refers to probability and statistics methods associated with the Reverend Thomas Bayes (c. 1702–1761) and Bayes' theorem on conditional probability. The development has taken place after his death, and includes:

• Bayesian probability
• Bayesian inference
• Bayesian network
• Bayes factor
• Bayesian model comparison
• Bayesian filtering
• Empirical Bayes method
• Naive Bayes classifier