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Laplace's approximation for nonlinear mixed models
Abstract
An approximation to Laplace's method for integrals is applied to marginal distributions of data arising from models in which both fixed and random effects enter nonlinearly. The approach provides alternative derivations of some recent algorithms for fitting such models, and it has direct ties with Gaussian restricted maximum likelihood and the accompanying mixed model equations.
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Cited by
Generalized Linear Mixed Models
McCulloch, C. E. (2001) · Encyclopedia of Environmetrics · doi:10.1002/9780470057339.vag009 · Cited by 295
Metadata
- Authors
- WOLFINGER, R.
- Venue
- Biometrika
- Publisher
- Oxford University Press (OUP)
- Published
- 1993
- Volume
- 80
- Issue
- 4
- Pages
- 791-795
- ISSN
- 0006-3444 (ISSN-L)
- 1464-3510
- OpenAlex
- W2063830806
- Cited by
- 366
- References
- 0
- FWCI
- 8.33
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Laplace's approximation for nonlinear mixed models. https://app.cochat.ai/papers/10.1093/biomet/80.4.791
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- WOLFINGER, R. (1993). Laplace's approximation for nonlinear mixed models. Biometrika. https://doi.org/10.1093/biomet/80.4.791
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
