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December 30, 2019 4:45 pm

Which of the following statements are correct ?
(1)    For a finite state Markov chain there is at least one transient state.
(2)    For a finite state Markov chain there is at least one stationary distribution
(3)    For a countable state Markov chain, every state can be transient
(4)    For an aperiodic countable state Markov chain there is at least one stationary distribution.

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