Simple Simulation Of Diffusion Bridges With Application To Likelihood Inference For Diffusions (Vol 20, Pg 645, 2014)

BERNOULLI(2021)

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摘要
We correct an error in Theorem 2.1 in Bladt and Sorensen (Bernoulli 20 (2014) 645-675), where the initial distribution of an auxiliary diffusion process that is used to describe the distribution of the proposed approximate diffusion bridge is wrong. As a consequence, we also correct the pseudo marginal Metropolis-Hastings algorithm that has an exact diffusion bridge as its target distribution. The same auxiliary diffusion plays a central role in the algorithm.
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关键词
diffusion bridge, discretely sampled diffusions, pseudo-marginal MCMC
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