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.
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