Question: Consider a Markov chain with states 0, 1, 2, ... and such that P+ p. 1 P- - where po 1. Find the necessary and

Consider a Markov chain with states 0, 1, 2, ... and such that P+ p. 1 P- -

where po 1. Find the necessary and sufficient condition on the p,'s for this chain to be positive recurrent, and compute the limiting probabilities in this case.

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