In our study of Markov chains, we make further assumption that for all states i and j and all t, P(Xt+1 = j|Xt = i) is independent of t.
{"Image DocumentName": "In our study of Markov chains, we make further assumption that for all states i and j and all t, P(Xt+1 = j|Xt = i) is independent of t.", "Image ImageDescription": "This assumption allows us to write P(Xt+1 = j|Xt = i) = pij where pij is the probability that given the system is in state i at time t, it will be in a state j at time t+1. If the system moves from state i during one period to state j during the next period, we that a transition from i to j has occurred.", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}