Question: Consider the continuous time Markov chain {Y (t) : t 2 0} living in the state space {1, 2, 3, 4} with generator matrix -2

Consider the continuous time Markov chain {Y (t) : t 2 0} living in the state space {1, 2, 3, 4} with generator matrix -2 O NO 0 1 -2 0 G = 1 -2 2 -2 Define T = min {t 2 0 : Y (t) e {1} } and set u (i) = Ei [Tly (0) = i]. Use Monte Carlo to provide a 95% confidence interval for u (2)

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