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• W2890982543 abstract "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 (IS). The derivation of this approximation, that we will denote as $widehat{text{ESS}}$, is partially available in Kong (1992). 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 $widehat{text{ESS}}$, makes it difficult to be considered even as a reasonable approximation of the ESS. We extend the discussion of the $widehat{text{ESS}}$ in the multiple importance sampling (MIS) setting, we display numerical examples, and we discuss several avenues for developing alternative metrics. This paper does not cover the use of ESS for MCMC algorithms." @default.
• W2890982543 created "2018-09-27" @default.
• W2890982543 creator A5016290792 @default.
• W2890982543 creator A5085691944 @default.
• W2890982543 creator A5091368168 @default.
• W2890982543 date "2022-04-10" @default.
• W2890982543 modified "2023-10-18" @default.
• W2890982543 title "Rethinking the Effective Sample Size" @default.
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• W2890982543 doi "https://doi.org/10.1111/insr.12500" @default.
• W2890982543 hasPublicationYear "2022" @default.
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