The course will give the student a deeper understanding of the foundations of probability theory. It provides important concepts, results and proofs in measure-theoretic probability theory with emphasis in statistics. It covers probability spaces and random elements, integration and differentiation, distributions and their characteristics, conditional expectations, asymptotic theory, together with a large number of exercises which includes many additional results.
The course requires a minimum of 90 ECTS including 7.5 ECTS in Probability Theory at second cycle or equivalent. Proficiency in English equivalent to Swedish upper secondary course English 5/A. When the language of instruction is Swedish, applicants must prove proficiency in Swedish to the level required for basic eligibility for higher studies.
Applicants in some programs at Umeå University have guaranteed admission to this course. The number of places for a single course may therefore be limited.
Application deadline was
15 April 2021.
Please note: This second application round is intended only for EU/EEA/Swiss citizens.