An introduction to Markov Chain Monte Carlo (MCMC)

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I will introduce the concept of Markov Chain Monte Carlo and in particular the Metropolis-Hastings algorithm to generate samples from an arbitrary distribution. I will motivate the algorithm by discussing its relevance in Bayesian statistics to circumvent the evaluation of the marginal likelihood.
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Thank you so much for your video! Your explanation is very clear; I've learned much from it. Please make more videos about Bayesian and ODE MCMC. These topics are difficult and not many people can explain them as well as you.

thuylinhlinh
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For likelihood, we have pareto distribution, and for theta prior follows Gamma distribution. We have 20 samples given . Now my posterior is complex, involving sum of logxi. What proposal density should i use and for sum logxi appeared with theta in posterior should i sum all data given what to do and how to proceed could you help

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