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Importance sampling type estimators based on approximate marginal Markov chain Monte Carlo and exact approximation

Presented by: 
Matti Vihola University of Jyväskylä
Date: 
Thursday 6th July 2017 - 13:30 to 14:15
Venue: 
INI Seminar Room 1
Abstract: 
We consider an importance sampling (IS) type estimator based on Markov chain Monte Carlo (MCMC) which targets an approximate marginal distribution. The IS approach, based on unbiased estimators, is consistent, and provides a natural alternative to delayed acceptance (DA) pseudo-marginal MCMC. The IS approach enjoys many benefits against DA, including a straightforward parallelisation. We focus on a Bayesian latent variable model setting, where the MCMC operates on the hyperparameters, and the latent variable distributions are approximated. 
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons