Consider the Markov chain of Problem 16. Again assume X 0 = 4. We would like to
Question:
Consider the Markov chain of Problem 16. Again assume X0 = 4. We would like to find the expected time (number of steps) until the chain gets absorbed in R1 or R2. More specifically, let T be the absorption time, i.e., the first time the chain visits a state in R1 or R2. We would like to find E[T|X0 = 4].
Problem 16
Consider the Markov chain in Figure 11.32. There are two recurrent classes, R1 = {1, 2}, and R2 = {5, 6, 7}. Assuming X0 = 4, find the probability that the chain gets absorbed to R1.
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Related Book For 
Introduction To Probability Statistics And Random Processes
ISBN: 9780990637202
1st Edition
Authors: Hossein Pishro-Nik
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