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State

Definition (State)

For a Markov chain {Xi}i=1∞\{X_i\}_{i=1}^{\infty}, XiX_i is called the “state” of the Markov chain at time ii.

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Aperiodic

Continuous Time Markov Chain

Ergodic Theorem

Irreducible

Invariant Distribution ↔ Positive Recurrence

Null Recurrence

Recurrent

Transient

Jump Time

Passage Time