Question: 12.4 Recurrence and transience Let X be a homogeneousMarkov chain with state space S and transition matrix P. For reasons of economy of notation, we

12.4 Recurrence and transience Let X be a homogeneousMarkov chain with state space S and transition matrix P. For reasons of economy of notation, we write henceforth Pi (A) for P(A | X0 = i ), and similarly Ei (Z)

for the conditional mean E(Z | X0 = i ).

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