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MATH-414: Stochastic simulation
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Lectures in this course (48)
Stochastic Simulation: Metropolis-Hastings Algorithm
Covers the Metropolis-Hastings algorithm for stochastic simulation and discusses its steps and convergence.
Markov Chain Monte Carlo
Covers the Markov Chain Monte Carlo method and the Metropolis-Hastings algorithm for generating samples from a target probability distribution.
Stochastic Simulation: Metropolis-Hastings Algorithm
Covers the Metropolis-Hastings algorithm and convergence diagnostics in stochastic simulation, focusing on sampling and proposal generation.
Stochastic Simulation: Markov Chains and Metropolis Hastings
Introduces Markov chains and Metropolis Hastings algorithm in stochastic simulation.
Stochastic Simulations: Ergodicity and Estimators
Explores geometric ergodicity in Markov chains and estimators' bias and variance, highlighting efficiency loss quantification.
Geometric Ergodicity: Convergence Diagnostics
Covers the concept of geometric ergodicity in the context of convergence diagnostics for Markov chains.
Estimating Relaxation Time: Variance and Chains
Covers the estimation of relaxation time in chains and the importance of sample sizes.
Stochastic Simulation: Rare Events and Crude Monte Carlo
Explores stochastic simulation, rare events, and the Crude Monte Carlo method, emphasizing the importance of thresholds and closed-form expressions.
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