(a) (Xn+r)nzo for fixed r≥ 0,

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 15EQ
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D5
Let (Xn)nzo be a Markov chain. Show that the following are also Markov chains:
(a) (Xn+r)n≥o for fixed r ≥ 0,
(b) (X2n)n≥0,
(c) the sequence of pairs ((Xn, Xn+1))n>0.
Transcribed Image Text:Let (Xn)nzo be a Markov chain. Show that the following are also Markov chains: (a) (Xn+r)n≥o for fixed r ≥ 0, (b) (X2n)n≥0, (c) the sequence of pairs ((Xn, Xn+1))n>0.
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