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Courses - Spring 2026
STAT
Statistics and Probability Department Site
STAT707
Bayesian Statistics
Credits: 3
Grad Meth: Reg, Aud
Credit only granted for: STAT700 or STAT818B.
Formerly: STAT818B.
Additional information: To prepare for this course, students should take STAT700 or consult with the course instructor before registering.
The essentials of Bayesian statistics with some advanced topics. Basic statistical decision theory. Bayesian paradigm. Prior and posterior distributions. Conjugate family. Hierarchical models. Bayesian linear regression. Bayes factors. Markov chain Monte Carlo. Metropolis-Hastings algorithm. Gibbs sampler. Bernstein von-Mise theorem. Posterior consistency. Potential advanced topics include variational Bayes, empirical Bayes, Bayesian inference of high-dimensional data and Bayesian non-parametric inference.