Question: Show that the random walk process in Section 2.2.4 is a Markov chain. Find the transition matrices for the following two cases. (a) The process
Show that the random walk process in Section 2.2.4 is a Markov chain. Find the transition matrices for the following two cases.
(a) The process does not stop upon reaching any level. In this case, Xt may assume all values 0,±1,±2, ... .
(b) The process comes to a stop when Xt = 0 or a, as it was assumed in Section 2.2.4. In this case, Xt may assume values 0,1, ...,a.
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