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 and Swedish equivalent to the level required for basic eligibility for higher studies
Entry requirements
Selection
Guaranteed place
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 code
UMU-58207
Application
Application deadline was
15 April 2021.
The application period is closed.
Application and tuition fees
As a citizen of a country outside the European Union (EU), the European Economic Area (EEA) or Switzerland, you are required to pay application and tuition fees for studies at Umeå University.