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Is the Markov chain time reversible? Provide details.

math Statistics-And-Probability

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Answer 1

Answer #1

This particular markov chain is aperiodic i.e. it has periodicity=1 since transition to same state itself is possible.

Also, it is irreducible i.e. each and every state can be reached from every other state.

An irreducible, aperiodic Markov Chain with a finite state space will settle down to its unique stationary distribution in the long run and hence is time reversible.

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Answer 2

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