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References from A reproducible, diagnostic-guided hybrid Laplace workflow for generalized linear mixed models. Local targets link to admitted publications; unresolved targets remain external evidence.
Accurate approximations for posterior moments and marginal densities
10.1080/01621459.1986.10478240 · 1986 · External reference
Approximate inference in generalized linear mixed models
10.1080/01621459.1993.10594284 · 1993 · External reference
Efficient Laplacian and adaptive Gaussian quadrature algorithms for multilevel generalized linear mixed models
10.1198/106186006x96962 · 2006 · External reference
Laplace approximation of high dimensional integrals
10.1111/j.2517-6161.1995.tb02060.x · 1995 · External reference
TMB: automatic differentiation and Laplace approximation
10.18637/jss.v070.i05 · 2016 · External reference
GlmmTMB balances speed and flexibility among packages for zero-inflated generalized linear mixed modeling
10.32614/rj-2017-066 · 2017 · External reference
Accuracy of Laplace approximation for discrete response mixed models
10.1016/j.csda.2008.05.002 · 2008 · External reference
Bayesian inference for generalized linear mixed models
10.1093/biostatistics/kxp053 · 2010 · External reference
An assessment of estimation methods for generalized linear mixed models with binary outcomes
10.1002/sim.5866 · 2013 · External reference
A sequential reduction method for inference in generalized linear mixed models
10.1214/15-ejs991 · 2015 · External reference
Laplace approximation, penalized quasi-likelihood, and adaptive Gauss-Hermite quadrature for generalized linear mixed models: towards meta-analysis of binary outcome with sparse data
10.1186/s12874-020-01035-6 · 2020 · External reference
On the error in Laplace approximations of high-dimensional integrals
2021 · External reference
Practical consequences of the bias in the Laplace approximation to marginal likelihood for hierarchical models
10.3390/e27030289 · 2025 · External reference
Reliable estimation of generalized linear mixed models using adaptive quadrature
10.1177/1536867x0200200101 · 2002 · External reference
Stochastic convergence rates and applications of adaptive quadrature in Bayesian inference
10.1080/01621459.2022.2141635 · 2024 · External reference
Approximate Bayesian inference for latent Gaussian models by using integrated nested Laplace approximations
10.1111/j.1467-9868.2008.00700.x · 2009 · External reference
Improving the INLA approach for approximate Bayesian inference for latent Gaussian models
10.1214/15-ejs1092 · 2015 · External reference
No-U-turn sampling for fast Bayesian inference in ADMB and TMB: introducing the adnuts and tmbstan R packages
10.1371/journal.pone.0197954 · 2018 · External reference
Unresolved reference
External reference
Usable and precise asymptotics for generalized linear mixed model analysis and design
10.1111/rssb.12473 · 2022 · External reference
Unresolved reference
External reference
Enhanced Laplace approximation
10.1016/j.jmva.2024.105321 · 2024 · External reference
A probabilistic diagnostic for Laplace approximations: introduction and experimentation
10.1002/cjs.70019 · 2025 · External reference
How good is your Laplace approximation of the Bayesian posterior? Finite-sample computable error bounds for a variety of useful divergences
2025 · External reference
