MATH 5090.03: Probability.

A mathematically rigorous treatment of probability theory in Eucidean space. Topics include measure and integration, probability measures, the definitions and properties of random variables and distribution functions, convergence concepts, Borel-Cantelli lemmas, laws of large numbers, characteristic functions and central limit theorems, conditional probability and expectation. Although the necessary measure theory is introduced, a previous analysis class is an asset.

PREREQUISITES: MATH 3360.03 and a third year analysis class
CROSS-LISTINGS: MATH 4090.03, STAT 4090.03/5090.03

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