Consider a Markov chain (Xn)nzo with state space S = P a =(15 b a 1-b...

 

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Consider a Markov chain (Xn)nzo with state space S = P a =(15ª b a 1-b {0, 1} and transition matrix where 0 < a < 1,0 < b < 1, and define a new stochastic process (Zn)n>1 by Zn (Xn-1, Xn) for n ≥ 1. Argue that (Zn)n≥1 is a Markov chain and write down its transition matrix. Start by determining the state space of (Zn)n≥1. Consider a Markov chain (Xn)nzo with state space S = P a =(15ª b a 1-b {0, 1} and transition matrix where 0 < a < 1,0 < b < 1, and define a new stochastic process (Zn)n>1 by Zn (Xn-1, Xn) for n ≥ 1. Argue that (Zn)n≥1 is a Markov chain and write down its transition matrix. Start by determining the state space of (Zn)n≥1.

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Using the single state markov chain the transition probabilities here are comput... View the full answer