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https://github.com/ondrejbiza/mcmc

Markov Chain Monte Carlo methods.
https://github.com/ondrejbiza/mcmc

mcmc mcmc-sampler metropolis-hastings probability sampling statistics

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Markov Chain Monte Carlo methods.

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# Markov Chain Monte Carlo methods

This repository replicates the figures from [C. Andrieu's et al. tutorial on MCMC methods](https://link.springer.com/article/10.1023/A:1020281327116).

## The Metropolis-Hastings algorithm

Changing iterations:

![100_iter](results/mh_100_it_100_var.png)
![500_iter](results/mh_500_it_100_var.png)
![1000_iter](results/mh_1000_it_100_var.png)
![5000_iter](results/mh_5000_it_100_var.png)

Changing variance of the proposal distribution:

![0.1_var](results/mh_5000_it_0.1_var.png)
![1_var](results/mh_5000_it_1_var.png)
![100_var](results/mh_5000_it_100_var.png)
![1000_var](results/mh_5000_it_1000_var.png)
![2000_var](results/mh_5000_it_2000_var.png)