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Markov Chain Monte Carlo (MCMC) refers to a class of simulation methods for generating samples from a complex target distribution by generating random numbers from a Markov Chain whose stationary distribution is the target distribution. MCMC methods are typically used when more direct methods for random number generation (e.g. inversion method) are infeasible. The very first MCMC method was the Metropolis (et al.) algorithm, later expanded by Hastings.

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In Bayesian linear regression Advantages of predictive posterior compared to posterior of mo...

Your question is more involved than it seems. Let me explain. First, you have to decide on a tentative model for regression. Well, every Bayesian model involves a likelihood function and a prior proba …
Romke Bontekoe's user avatar