Syllabus for Bayesian Statistics DS
Bayesiansk statistik DS
Syllabus
- 7.5 credits
- Course code: 1MS031
- Education cycle: Second cycle
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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)
- Established: 2020-02-27
- Established by:
- Revised: 2021-10-22
- Revised by: The Faculty Board of Science and Technology
- Applies from: Autumn 2022
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Entry requirements:
120 credits including 90 credits in mathematics. Participation in Regression Analysis and Inference Theory II or participation in Introduction to Data Science. Proficiency in English equivalent to the Swedish upper secondary course English 6.
- Responsible department: Department of Mathematics
Learning outcomes
On completion of the course, the student should be able to:
- choose suitable informative and non-informative prior distributions;
- derive posterior distributions;
- apply computer intensive methods for approximating the posterior distribution using R;
- be able to interpret the results obtained by Bayesian methods.
Content
The choice of prior distributions. Conjugate families. Bayesian point estimation. Bayesian tests. MCMC. Gibbs sampler. Bayesian model choice.
Instruction
Lectures and computer sessions, projects.
Assessment
Written examination (4 credits) at the end of the course. Compulsory assignments (1 credit) and projects (2,5 credits) during the course.
If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.
Other directives
This course cannot be included in the same degree as 1MS900.
Reading list
Reading list
Applies from: Autumn 2022
Some titles may be available electronically through the University library.
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Robert, Christian P.
The Bayesian choice : from decision-theoretic foundations to computational implementation
2. ed.: New York: Springer, cop. 2007
Mandatory