- Thread starter
- #1

- Apr 14, 2013

- 4,601

Given the Markov chain $\{X_n, n \geq 1\}$ and the following probability transition matrix:

$\begin{pmatrix}

0 & 1/3 & 2/3\\

1/4 & 3/4 & 0\\

2/5 & 0 & 3/5

\end{pmatrix}$

All states communicate, so the chain is irreducible, isn't?

Could you tell me if the state $2$ is periodic?