A Markov chain (left{X_{0}, X_{1}, ldots ight}) has state space (mathbf{Z}={0,1,2,3}) and transition matrix [mathbf{P}=left(begin{array}{llll} 0.1 &

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A Markov chain $\left\{X_{0}, X_{1}, \ldots\right\}$ has state space $\mathbf{Z}=\{0,1,2,3\}$ and transition matrix

\[\mathbf{P}=\left(\begin{array}{llll} 0.1 & 0.2 & 0.4 & 0.3 \\ 0.2 & 0.3 & 0.1 & 0.4 \\ 0.4 & 0.1 & 0.3 & 0.2 \\ 0.3 & 0.4 & 0.2 & 0.1 \end{array}\right)\]

(1) Draw the corresponding transition graph.

(2) Determine the stationary distribution of this Markov chain.

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Applied Probability And Stochastic Processes

ISBN: 9780367658496

2nd Edition

Authors: Frank Beichelt

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Question Posted: Apr 26, 2024 04:01 PM

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A Markov chain (left{X_{0}, X_{1}, ldots ight}) has state space (mathbf{Z}={0,1,2,3}) and transition matrix [mathbf{P}=left(begin{array}{llll} 0.1 &

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Applied Probability And Stochastic Processes

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