Let X be a Markov chain containing an absorbing states with which all other states i communicate, in the sense that pis (n) > 0 for some n = n(i). Show that all states other than s are transient.
Let X be a Markov chain containing an absorbing states with which all other states i communicate, in the sense that pis (n) > 0 for some n = n(i). Show that all states other than s are transient.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 2EQ
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