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Lecture
Stochastic Simulation: Markov Chains and Metropolis Hastings
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Markov Chains: Definition and Examples
Covers the definition and properties of Markov chains, including transition matrix and examples.
Recurrence and transience: proofs
Covers the proof of the equivalence between AQ=0 and XP(s)=X.
Stochastic Models for Communications
Covers stochastic models for communications, focusing on random variables, Markov chains, Poisson processes, and probability calculations.
Markov Chains: Ergodic Chains Examples
Covers stochastic models for communications, focusing on discrete-time Markov chains.
Probability & Stochastic Processes
Covers applied probability, stochastic processes, Markov chains, rejection sampling, and Bayesian inference methods.
Stochastic Models for Communications
Covers stochastic models for communication systems, including concepts like stochastic processes and Markov chains.
Stochastic Simulation: Markov Chains and Monte Carlo
Covers Markov chains, Monte Carlo methods, low discrepancy sequences, and multidimensional integrals computation.
Determinantal Point Processes and Extrapolation
Covers determinantal point processes, sine-process, and their extrapolation in different spaces.
Markov Chains: Applications and Coupled Chains
Covers Markov chains, coupled chains, and their applications, emphasizing the importance of irreducibility.
Markov Chain Monte Carlo
Covers the Markov Chain Monte Carlo method and the Metropolis-Hastings algorithm for generating samples from a target probability distribution.