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A special type of Markov Chain Monte Carlo (MCMC) algorithm used to simulate from complex probability distributions. It is validated by Markov chain theory and offers a wide range of possible implementations.

3 votes
1 answer
390 views

Decision Rule for Random-Walk Metropolis on Log Scale

I need to sample from a non-standard density which is more tractable on the log-scale. Now I was wondering, how the decision rule is restated: $$ \alpha (x' | x ) = min(1,\frac{\pi(x')}{\pi(x)}) $$ wi …
mscnvrsy's user avatar
  • 545
1 vote
0 answers
73 views

RW Metropolis and ARMS fail

I've been trying to estimate a series of simulated Gamma-distributed random variables and its structural parameters with MCMC for a stochastic volatility model. However, both the random walk Metropoli …
mscnvrsy's user avatar
  • 545