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University of California-Davis Course Info

Davis, California

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Course Info

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STA 235B

Probability Theory

Measure-theoretic foundations, abstract integration, independence, laws of large numbers, characteristic functions, central limit theorems. Weak convergence in metric spaces, Brownian motion, invariance principle. Conditional expectation. Topics selected from: martingales, Markov chains, ergodic theory. (Same course as MAt 235B.)

Units: 4.0

Hours: Lecture—3 hour(s); Term Paper/Discussion—1 hour(s).

Prerequisites:
MAT 235A - Probability Theory
or
STA 235A - Probability Theory