Rethinking the Effective Sample Size
Elvira, Víctor; Martino, Luca; Robert, Christian (2022), Rethinking the Effective Sample Size, International Statistical Review, 90, 3, p. 525-550. 10.1111/insr.12500
Type
Article accepté pour publication ou publiéDate
2022Journal name
International Statistical ReviewVolume
90Number
3Publisher
Wiley
Pages
525-550
Publication identifier
Metadata
Show full item recordAuthor(s)
Elvira, Víctor
School of Mathematics - University of Edinburgh
Martino, Luca
Signal Theory and Communications Department [Madrid] [DTSC]
Robert, Christian
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
The effective sample size (ESS) is widely used in sample-based simulation methods for assessing the quality of a Monte Carlo approximation of a given distribution and of related integrals. In this paper, we revisit the approximation of the ESS in the specific context of importance sampling. The derivation of this approximation, that we will denote as , is partially available in a 1992 foundational technical report of Augustine Kong. This approximation has been widely used in the last 25 years due to its simplicity as a practical rule of thumb in a wide variety of importance sampling methods. However, we show that the multiple assumptions and approximations in the derivation of make it difficult to be considered even as a reasonable approximation of the ESS. We extend the discussion of the in the multiple importance sampling setting, we display numerical examples and we discuss several avenues for developing alternative metrics. This paper does not cover the use of ESS for Markov chain Monte Carlo algorithms.Related items
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