Show that the vector (pi=left(pi_{1}=alpha, pi_{2}=beta, pi_{3}=gamma ight)), determined in example 8.6 , is a stationary initial

Show that the vector \(\pi=\left(\pi_{1}=\alpha, \pi_{2}=\beta, \pi_{3}=\gamma\right)\), determined in example 8.6 , is a stationary initial distribution with regard to a Markov chain which has the one-step transition matrix (8.22) (page 349).

Data from 8.22

Data from Example 8.6

Transcribed Image Text:

+ /2 a/2 + /4 0 Y+B/2 0 1/2 B/4+y/2 + +/2 Y+B/2