Rao–Blackwellisation in the Markov Chain Monte Carlo Era - Archive ouverte HAL
Article Dans Une Revue International Statistical Review Année : 2021

Rao–Blackwellisation in the Markov Chain Monte Carlo Era

Résumé

Rao–Blackwellisation is a notion often occurring in the MCMC literature, with possibly different meanings and connections with the original Rao–Blackwell theorem as established by C.R. Rao in 1945 and D. Blackwell in 1947, including a reduction of the variance of the resulting Monte Carlo approximations. This survey reviews some of the meanings of the term.

Dates et versions

hal-03912172 , version 1 (23-12-2022)

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Copyright (Tous droits réservés)

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Christian Robert, Gareth Roberts. Rao–Blackwellisation in the Markov Chain Monte Carlo Era. International Statistical Review, 2021, 89 (2), pp.237-249. ⟨10.1111/insr.12463⟩. ⟨hal-03912172⟩
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