Syllabus for Inference Theory II

Inferensteori II


  • 5 credits
  • Course code: 1MS037
  • Education cycle: First cycle
  • Main field(s) of study and in-depth level: Mathematics G2F
  • Grading system: Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
  • Established: 2012-03-08
  • Established by:
  • Revised: 2021-10-11
  • Revised by: The Faculty Board of Science and Technology
  • Applies from: Autumn 2022
  • Entry requirements:

    60 credits including 20 credits in mathematics. Participation in Probability Theory II and Inference Theory I.

  • Responsible department: Department of Mathematics

Learning outcomes

On completion of the course, the student should be able to

  • describe the idea of statistical modelling;
  • understand the inference principles;
  • apply several methods for parameter estimation;
  • describe the methods and their theoretical properties and practical applicability;
  • describe the theoretical basis for hypothesis testing;
  • perform testing of hypotheses in several variants.


Inference principles: statistical models, exponential families, inference based on likelihood, Fisher information and sufficiency, estimation methods, Cramér-Rao inequality, optimality, hypothesis testing, Neyman Pearson tests, uniformly most powerful tests.


Lectures and problem solving sessions.


Written examination at the end of the course (4 credits). Written assignments (1 credit).

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

The course may not be included in higher education qualification together with Mathematical Statistics (1MS013) 15 credits.

Reading list

Reading list

Applies from: Autumn 2022

Some titles may be available electronically through the University library.

  • Liero, Hannelore; Zwanzig, Silvelyn Introduction to the theory of statistical inference

    Boca Raton, FL: CRC Press, 2012

    Find in the library


Last modified: 2022-04-26