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arxiv: 1301.4030 · v2 · pith:WV6HBSHUnew · submitted 2013-01-17 · 🧮 math.ST · math.PR· stat.TH

Diffusive Limits for Adaptive MCMC for Normal Target densities

classification 🧮 math.ST math.PRstat.TH
keywords distributionnormaladaptivediffusionstandardtargetadmitsamcmc
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In this paper we apply the Diffusion approximation procedure to a discrete time Adaptive Markov Chain Monte Carlo (AMCMC) method when the target distribution is standard Normal. We show that the limiting distribution of the diffusion admits a density which we identify as the standard Normal distribution.

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