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1 IEOR 6711: Continuous-Time Markov Chains
www.columbia.eduindependent of the past, and so on.1 Letting X(t) denote the state at time t, we end up with a continuous-time stochastic process fX(t) : t 0gwith state space S. Our objective is to place conditions on the holding times to ensure that the continuous-time process satis es the Markov property: The future, fX(s+ t) : t 0g, given the