Skip to content
Competitive Stats
Q51Section ST (Statistics (Q11–Q65))51 of 65

Stationary distribution of a 3-state chain

Consider a Markov chain {Xn:n=1,2,… }\{X_n : n = 1, 2, \dots\} with state space S={1,2,3}S = \{1, 2, 3\} and transition probability matrix P=(01/21/2 1/302/3 2/53/50)P = \begin{pmatrix} 0 & 1/2 & 1/2 \ 1/3 & 0 & 2/3 \ 2/5 & 3/5 & 0 \end{pmatrix}. Define π=(1867,2467,2567)\pi = (\frac{18}{67}, \frac{24}{67}, \frac{25}{67}). Which of the following options is/are correct?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Options

Select every correct option, then submit.