Absorbing state of a Markov chain is always ergodic.
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A recurrent state is said to be ergodic if it is both positive recurrent and aperiodic. An ergodic Markov chain will have all its states as ergodic. An Aperiodic, Irreducible, Markov Chain with a finite number of states will always be ergodic. ... If the chain is periodic, then all states have the same period α.
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it is said to be a ergodic if it is both positive recurrent and a periodic Markov chain with a finite number of states will always be a a erogodic
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