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Subsampling the Gibbs sampler: variance reduction

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  • MacEachern, Steven N.
  • Peruggia, Mario

Abstract

Subsampling the output of a Gibbs sampler in a non-systematic fashion can improve the efficiency of marginal estimators if the subsampling strategy is tied to the actual updates made. We illustrate this point by example, approximation, and asymptotics. The results hold both for random-scan and fixed-scan Gibbs samplers.

Suggested Citation

  • MacEachern, Steven N. & Peruggia, Mario, 2000. "Subsampling the Gibbs sampler: variance reduction," Statistics & Probability Letters, Elsevier, vol. 47(1), pages 91-98, March.
    • Handle: RePEc:eee:stapro:v:47:y:2000:i:1:p:91-98
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    References listed on IDEAS

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    1. G. O. Roberts & S. K. Sahu, 1997. "Updating Schemes, Correlation Structure, Blocking and Parameterization for the Gibbs Sampler," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 59(2), pages 291-317.
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