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MATH 62003. Theory of Probability. 3 Hours.

A rigorous mathematical treatment based on measure theory of the fundamental notions and results of the theory of probability. Topics covered include laws of large numbers, central limit theorems, conditional expectations. Additional topics that may be covered include martingales, Markov chains, Brownian motion and stochastic integration. Prerequisite: ²Ñ´¡°Õ±áÌý55103. (Typically offered: Fall)