CATALOG DESCRIPTION: Fundamentals of random variables; mean-squared estimation; limit theorems and convergence; definition of random processes; autocorrelation and stationarity; Gaussian and Poisson ...
Probability theory has long provided a rigorous framework for quantifying uncertainty, yet its extension to infinite sets introduces profound conceptual challenges and opportunities. Contemporary ...
Course syllabus: We will start by developing the theory of Markov chains further, explore their relations to martingales and give applications to the solution of Dirichlet problem and maximum (resp.
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