Mathematical Statistics: Statistical Inference Theory

The course provides in-depth knowledge of statistical inference theory – the foundation for analyzing data and drawing conclusions using mathematical methods. You will learn about estimators, decision theory, and how different inference methods are connected. Topics include exponential families, Bayesian inference, minimax estimators, and hypothesis testing. You will gain insight into why there is rarely a single optimal solution and how to manage this through various strategies.

The course can be taken as an elective in other bachelor’s programmes. In addition, it is offered as a standalone course. Teaching is in English, and the course is given at the Centre for Mathematical Sciences.

To be admitted, you need at least 60 credits in mathematics, including an introductory course in mathematical statistics.

The studies consist of lectures and exercises. Exercises are not mandatory but strongly recommended, as they involve active participation, discussions, and problem-solving. You are expected to prepare before class to get the most out of the course.

Assessment is through a written and oral exam at the end of the course. The final grade is based on a combination of these parts.

Prerequisites

For admission to the course, general entry requirements and 60 credits of studies in mathematics including knowledge equivalent to the course MASA03 Mathematical statistics: Basic course, 15 ECTS. English course 6/B.

Selection criteria

Seats are allocated according to: The general average (GPA) of your higher secondary school leaving certificate: 20 %, The Swedish national university aptitude test: 10 %, number of previous ECTS at application deadline (up to 165): 70 %.

Tuition fees for non-EU/EEA citizens

Citizens of countries outside:

• The European Union (EU)
• The European Economic Area (EEA) and
• Switzerland

are required to pay tuition fees. You pay an instalment of the tuition fee in advance of each
semester.

Tuition fees, payments and exemptions

Full programme/course tuition fee: SEK 21,250
First payment: SEK 21,250

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Note that you may also need to pay an application fee, or provide proof of exemption.

Application fee

No tuition fees for citizens of the EU, EEA and Switzerland

There are no tuition fees for citizens of the European Union (EU), the European Economic Area (EEA) and Switzerland.