This website is designed to host course material for STAT 615 - Advanced Bayesian Methods at Iowa State University.

This course meets

  • TR 11-12:20 @ East 0111

Textbook

The required textbook for the course is Bayesian Data Analysis (3rd edition). Other suggested textbooks.

Relevant course pages

Course Description

Complex hierarchical and multilevel models, dynamic linear and generalized linear models, spatial models. Bayesian nonparametric methods. Specialized Markov chain Monte Carlo algorithms and practical approaches to increasing mixing and speed convergence. Summarizing posterior distributions, and issues in inference. Model assessment, model selection, and model averaging.

Student Learning Outcomes

  • Understand the common Bayesian methods used for time series analysis, spatial analysis, shrinkage, and nonparametrics.
  • Read, comprehend, and implement methods in the primary literature.
  • Apply these methods within your own research agenda.

Prerequisite

The prerequisites for the course are STAT 544 and STAT 601.

Q&A

Please use the Blackboard discussion forum.

Course topics

The course aims to provide an overview of Bayesian methods in a variety of areas including some of the following:

  • Hierarchical (linear) models
    • Ridge regression
    • LASSO
    • Horseshoe
    • Hamiltonian Monte Carlo
  • Dynamic models
    • Dynamic linear models
    • State-space models
    • Sequential Monte Carlo
  • Spatial
    • Gaussian process models
    • Conditional autogressive models
    • Slice sampling
  • Nonparametrics
    • Finite mixture models
    • Dirichlet process
  • Advanced computing (?)
    • Adaptive rejection Metropolis sampling
    • Integrated nested Laplace approximation

Faculty Senate Recommendations

This course abides by the Faculty Senate Recommendations provided at http://www.celt.iastate.edu/teaching/preparing-to-teach/recommended-iowa-state-university-syllabus-statements.