Alternating Subspace-Spanning Resampling to Accelerate Markov Chain Monte Carlo Simulation

This paper provides a simple method to accelerate MCMC sampling algorithms, such as the data augmentation and the Gibbs sampler, via alternating subspace-spanning resampling (ASSR). The ASSR algorithm often shares the simplicity of its parent sampler but has dramatically improved efficiency. The methodology is illustrated with Bayesian estimation for analysis of censored data from fractionated experiments. The relationships between ASSR and existing methods are also discussed.