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2904概率中等derivationmedium

Metropolis Chain for Target Weights 1,2,5

题目

On the line graph 1↔2↔31\leftrightarrow 2\leftrightarrow 3, propose moving to a neighboring state uniformly, and accept proposals using the Metropolis rule targeting weights proportional to (1,2,5)(1,2,5). What is the stationary distribution?

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