Mathematics · Markov Chains
Let S = {1, 2, 3, 4, 5}. Consider a Markov chain on the state space S with transition probability matrix: 0000.70.30.30000.70.70.300000.70.300000.70.30 Then which of the following is always true?
- 1State 1 has period 2
- 2State 2 is recurrent✓
- 3State 3 is transient
- 4The chain admits at least two stationary distributions
Correct answer
State 2 is recurrent
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