Question consider the markov chain whose transition...

Consider the Markov chain whose transition probability matrix is: P = ( 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1/3 1/3 1/3 0 0 1 0 0 0 0 0 1/2 0 0 0 1/2 ) a) Classify the states {0, 1, 2, 3, 4, 5} into classes. (b) Identify the recurrent and transient classes of (a).

Specify the classes of the following Markov chains, and determine whether they are transient or recurrent: $$ \begin{aligned} &\mathbf{P}_{1}=\left|\begin{array}{ccc} 0 & \frac{1}{2} & \frac{1}{2} \\ \frac{1}{2} & 0 & \frac{1}{2} \\ \frac{1}{2} & \frac{1}{2} & 0 \end{array} \| \quad \mathbf{P}_{2}=\right| \begin{array}{llll} 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 1 \\ \frac{1}{2} & \frac{1}{2} & 0 & 0 \\ 0 & 0 & 1 & 0 \end{array} \mid\\ &\mathbf{P}_{3}=\left|\begin{array}{ccccc} \frac{1}{2} & 0 & \frac{1}{2} & 0 & 0 \\ \frac{1}{4} & \frac{1}{2} & \frac{1}{4} & 0 & 0 \\ \frac{1}{2} & 0 & \frac{1}{2} & 0 & 0 \\ 0 & 0 & 0 & \frac{1}{2} & \frac{1}{2} \\ 0 & 0 & 0 & \frac{1}{2} & \frac{1}{2} \end{array}\left\|\quad \mathbf{P}_{4}=\mid \begin{array}{lllll} \frac{1}{2} & 4 & 0 & 0 & 0 \\ \frac{1}{2} & \frac{1}{2} & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & + & - & 0 \\ 1 & 0 & 0 & 0 & 0 \end{array}\right\|\right. \end{aligned} $$

Aarti K.

Question

Consider the Markov chain whose transition probability matrix is: P = ( 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1/3 1/3 1/3 0 0 1 0 0 0 0 0 1/2 0 0 0 1/2 ) a) Classify the states {0, 1, 2, 3, 4, 5} into classes. (b) Identify the recurrent and transient classes of (a).

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