Probability Theory III

In this course the rigorous foundation for probability theory, based on measure theory, is laid out, and you will also study the important theory of martingales.

The course covers basic measure theory, probability spaces, stochastic convergence, limit theorems, and martingales: basic properties, stopping theorems and convergence theorems.

The course consists of two modules, theory and hand-in assignments.


Teaching Format

Teaching consists of lectures, exercises, and supervision.


Assessment

Assessment takes place through hand-in exercises and written examination.

Examiner

A list of examiners can be found on

Exam information

The schedule will be available no later than one month before the start of the course. We do not recommend print-outs as changes can occur. At the start of the course, your department will advise where you can find your schedule during the course.


Note that the course literature can be changed up to two months before the start of the course.

Gut: An intermediate course in probability. Springer.

Andersson & Djehiche: An introduction to martingale theory. Provided by the department.

List of course literature Department of Mathematics

Course reports are displayed for the three most recent course instances.

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Course web

You can find our course webpages on kurser.math.su.se.