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Jasper Lindblom: Measure-theoretic Probability

Tid: Fr 2021-10-29 kl 09.00 - 10.00

Plats: Zoom: 625 4332 4514, contact arias@math.su.se to get the password

Respondent: Jasper Lindblom

Abstract: This thesis explores the deep connections of measure theory and probability theory. We introduce fundamental results of measure theory. We then use these results to rigorously develop probability theory. Special attention is given to independence and conditional expectation of random variables. The thesis aims to be self-contained to a high degree and most results are given detailed proofs.