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For a Markov Process with Absorbing States, We Define Π(J)

question 37

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For a Markov process with absorbing states, we define Π(j) = state vector at stage j N = fundamental matrix
I = identity matrix
Q = matrix of transition probabilities between non-absorbing states
R = matrix of transition probabilities between non-absorbing states and absorbing states
The limiting state probabilities equal:


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