## Posts Tagged ‘Markov Chains’

### RJMCMC in clustering

Slide from a 30-minute presentation. There are some mistakes in the slide.

Exercise 7.12: Let $X_{n}$ be the sum of $n$ independent rolls of a fair dice. Show that, for any $k > 2$, $\lim_{n \rightarrow \infty}(X_{n} \text{is divisible by k}) = \frac{1}{k}$.