STK9011 – Statistical Inference Theory

Schedule, syllabus and examination date

Choose semester

Course content

The course expands and is a thorough treatment of the theory of statistical inference introduced in earlier courses. The focus is treatment of point estimation and testing of hypotheses.

Learning outcome

After completing the course you:

  • know how optimality is defined for estimators, tests of hypotheses and interval estimation;
  • have been introduced to the exponential family of distributions and seen the most important properties;
  • know what sufficient statistics, equivariance (invariance) and Bayes estimators are; 
  • are familiar with central concepts from asymptotic theory such as convergence in distribution and convergence in probability; 
  • have seen examples on how the central limit theorem and the law of large numbers are used to find the asymptotic distributions of important estimators and tests.


PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.

If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.

PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.


3 hours of lectures/exercises per week.


mandatory assignment.

Final oral or written examination. The form of examination will be announced by the teaching staff by 15 October/15 March for the autumn semester and the spring semester respectively.

In addition, each PhD candidate is expected to give an oral presentation on a topic of relevance chosen in cooperation with the lecturer. The presentation has to be approved by the lecturer for the student to be admitted to the final exam.

Examination support material

Written examination: Approved calculators are allowed.
Information about approved calculators (Norwegian only)

Oral examination: No resources are allowed.


Language of examination

Subjects taught in English will only offer the exam paper in English.

You may write your examination paper in Norwegian, Swedish, Danish or English.

Grading scale

Grades are awarded on a pass/fail scale. Read more about the grading system.

Explanations and appeals

Resit an examination

This course offers both postponed and resit of examination. Read more:


The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.

Facts about this course






Every autumn


Every autumn

Teaching language


The course may be taught in Norwegian if the lecturer and all students at the first lecture agree to it.