Bayesian Statistics

• Topics

  • Bayes theorem and the concept of Bayesian statistics
  • Distributions often used in Bayesian statistics
  • Prior distributions, likelihood functions, and posterior distributions
  • Bayesian estimation and model fitting using appropriate software
  • Differences between Bayesian estimation and maximum likelihood estimation
  • Choice of prior distribution
  • Empirical Bayes estimation
  • Bayesian hierarchical models
  • Empirical applications of Bayesian analysis using appropriate software

• Study resources

  • Instructional Methods

    • Disscusion forum/Discussion Board
    • Online Quizzes/Tests
    • Online assignment submission
    • Podcasting/Leacture capture
    • Standard Media
    • Web links

  • Print Materials

    • Welcome letter

Entry Requirements

You must have successfully completed the following subject(s) before starting this subject:

SWI-STA60003-Basic Statistical Computing Using R , or SWI-HMS772

Special requirements

No special requirements

The subject introduces the fundamentals of Bayesian statistical modelling. Students will learn the importance of subjective beliefs in Bayesian statistics. Important concepts such as prior distributions, likelihood functions, and posterior distributions will be discussed at length. Numerical estimation techniques, such as Metropolis-Hastings and Gibbs sampling, will be introduced. Empirical applications of Bayesian analysis will be performed in an R software environment.

Please note: assessment values are indicative only, details will be advised at the start of the subject.
 

• Assignments — 2 (40%)
• Invigilated Exam (50%)
• Quizzes — Online (10%)

Textbooks are subject to change within the academic year. Students are advised to purchase their books no earlier than one to two months before the start of a subject.