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Lecture
Markov Chains: Reversibility & Convergence
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Geometric Ergodicity: Convergence Diagnostics
Covers the concept of geometric ergodicity in the context of convergence diagnostics for Markov chains.
Coupling of Markov Chains: Ergodic Theorem
Explores the coupling of Markov chains and the proof of the ergodic theorem, emphasizing distribution convergence and chain properties.
Theory of MCMC
Covers the theory of Markov Chain Monte Carlo (MCMC) sampling and discusses convergence conditions, transition matrix choice, and target distribution evolution.
Markov Chain Monte Carlo
Covers the Markov Chain Monte Carlo method and the Metropolis-Hastings algorithm for generating samples from a target probability distribution.
Markov Chains: Theory and Applications
Covers the theory and applications of Markov chains, focusing on key concepts and properties.
Markov Chains: Ergodicity and Stationary Distribution
Explores ergodicity and stationary distribution in Markov chains, emphasizing convergence properties and unique distributions.
Markov Chains: Ergodic Chains Examples
Covers stochastic models for communications, focusing on discrete-time Markov chains.
Markov Chains: Ergodic Chains Examples
Covers stochastic models for communications, focusing on discrete-time Markov chains.
Limiting Distribution and Ergodic Theorem
Explores limiting distribution in Markov chains and the implications of ergodicity and aperiodicity on stationary distributions.
Continuous-Time Markov Chains: Reversible Chains
Covers reversible continuous-time Markov chains and their properties.