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Rao-Blackwellization in the MCMC era

Computation 2021-01-05 v1 Statistics Theory Statistics Theory

Abstract

Rao-Blackwellization is a notion often occurring in the MCMC literature, with possibly different meanings and connections with the original Rao--Blackwell theorem (Rao, 1945 and Blackwell,1947), including a reduction of the variance of the resulting Monte Carlo approximations. This survey reviews some of the meanings of the term.

Cite

@article{arxiv.2101.01011,
  title  = {Rao-Blackwellization in the MCMC era},
  author = {Christian P. Robert and Gareth O. Roberts},
  journal= {arXiv preprint arXiv:2101.01011},
  year   = {2021}
}

Comments

This paper is to appear in The International Statistical Review

R2 v1 2026-06-23T21:45:21.999Z