The discussion focuses on the transition matrix and state space of a simple random walk with absorbing barriers at states 1 and 5. The transition matrix is defined as A, where the first and last rows represent the absorbing states with values of 1 and 0, respectively. The matrix illustrates equal probabilities of transitioning to adjacent states, specifically 0.5 for moving to the left or right from the middle states. This structure is crucial for understanding Markov Chains in stochastic processes.
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Poirot said:What is the transition matrix and state space corresponding to a simple random random walk with absorbing barriers at 1 and 5? I know an absorbing barrier will correspong to a row of zeroes but I don't know what a simple random walk is.Thanks
Poirot said:Sorry I don't understand what you mean. Can you give me the matrix?