Mathematics · Markov Chains
Consider a Markov chain with transition probability matrix: P = 0 0 1/2 0 1/2 0 1/2 0 1/2 0 1/2 0 0 0 1/2 0 1/2 0 1/2 0 1/2 0 1/2 0 0 Let π = (1/5, 1/5, 1/5, 1/5, 1/5). Which of the following statements is correct?
- 1The Markov chain is irreducible
- 2The Markov chain is periodic
- 3If η is a stationary distribution, then η = π
- 4π is a stationary distribution✓
Correct answer
π is a stationary distribution
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