Consider a Markov chain on {1,2,3,4,5} with transition matrix a. What are the recurrent and transient classes
Question:
Consider a Markov chain on {1,2,3,4,5} with transition matrix
a. What are the recurrent and transient classes for this chain?
b. Find the limiting matrix for each recurrent class.
c. Determine the long-range probabilities for the Markov chain starting from each transient state.
d. Use the results of parts (b) and (c) to find
e. Confirm your answer in part (d) by taking P to a high power.
Transcribed Image Text:
P = [1/4 1/2 1/3 3/4 1/2 0 0 0 0 0 0 0 0 1/3 0 1/3 1/3 1/3 0 1/3 1/4 1/4 0 0 1/2
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Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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