Let's think about the irreducibility and aperiodicity conditions of the Basic Limit Theorem as applied to the Metropolis
Posted: Wed Mar 09, 2022 9:15 am
Let's think about the irreducibility and aperiodicity conditions of the Basic Limit Theorem as applied to the Metropolis method. Suppose that the graph structure on S is a connected graph. Let a be any distribution other than Trw, the stationary distribution of a random walk on the graph. Show that the Basic Limit Theorem implies that the Metropolis chain converges in distribution to n.