STK9011 - Statistical Inference Theory

Schedule, syllabus and examination date

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Course content

The course provides theoretical justification of and extensions to the statistical inference theory from the bachelor courses. In particular general decision theory is discussed and applied to estimation and hypothesis testing. Furthermore optimality of estimators, hypothesis testing and interval estimation, sufficient statistics, equivariant (invariant) and Bayes and minimax estimators are treated. In addition an introduction to asymptotic theory is given in particular convergence in probability and convergence in distribution as well as results like the law of large numbers and the central limit theorem. The inference theory is exemplified on exponential families of distributions.

Learning outcome

You obtain a deeper understanding and a considerable extension to the statistical inference theory in the bachelor courses. The course is helpful when developing new statistical methodology.

Admission

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.

Overlapping courses

Teaching

3 hours of lectures/exercises per week.

Examination

Depending on the number of students, the exam will be in one of the following four forms:
1. Only written exam
2. Only oral exam
3. A project paper followed by a written exam.
4. A project paper followed by an oral exam/hearing.
For the latter two the project paper and the exam counts equally and the final grade is based on a general impression after the final exam. (The two parts of the exam will not be individually graded.)

What form the exam will take will be announced by the teaching staff within October 15th for the autumn semester and March 15th for the spring semester.

In addition, each phd student 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

Permitted aids at the exam if written: Approved calculator.
Oral exam: no aids permitted.
Information about approved calculators (Norwegian only)

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:

Evaluation

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

Credits

10

Level

PhD

Teaching

Every autumn

Examination

Every autumn

Teaching language

English

The course is given in English. If no students have asked for the course in English within the first lecture, it may be given in Norwegian.