Answers are grounded in this paper and cite their sources.
Archival mirror of the Journal of Reproducible Statistics article at https://jrepstat.fairpressjournals.com/articles/estimating-the-marginal-likelihood-with-integrated-nested-laplace-approximation-inla/ and its reproducibility package. Deposited by FAIR Press.
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Hubin et al. (2026) studied this question.
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