Bayesian Methods

7.5 credits

Syllabus, Master's level, 1MS017

A revised version of the syllabus is available.
Code
1MS017
Education cycle
Second cycle
Main field(s) of study and in-depth level
Mathematics A1N
Grading system
Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
Finalised by
The Faculty Board of Science and Technology, 6 November 2007
Responsible department
Department of Mathematics

Entry requirements

120 credit points and Analysis of Regression and Variance

Learning outcomes

In order to pass the course (grade 3) the student should

  • be able to define Bayes formula and to derive a posteriori distributions;
  • be able to choose suitable informative and non-informative a priori distributions;
  • know how to use stochastic simulation to estimate a posteriori distributions;
  • be able to make correct inferenes from theoretical and estimated a posteriori distributions;
  • be able to choose the most suitable model for a given practical problem.
  • Content

    Bayes formula. Informative and non-informative á priori distributions. Á posteriori distributions. Hierarchical models. Linear models. Bayesian inference. Markov Chain Monte Carlo (MCMC) methods.

    Instruction

    Lectures, problem solving sessions and computer-assisted laboratory work.

    Assessment

    Written examination at the end of the course. Compulsory assignments and laboratory work during the course.

    No reading list found.

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