Distribution of the posterior density

Question

Response to the following problem:

(Tanner, 1996) Show that if θ(t) ∼ πt and if the stationary distribution is the posterior density associated with f(x|θ) and π(θ), the weight

ω_t = f(x|θ^(t)π(θ^(t)/π ^t(θ^(t))

converges to the marginal m(x).

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