Simultaneous Credible Bands for Latent Gaussian Models

DOI10.1111/j.1467-9469.2011.00741.xzbMath1246.62067OpenAlexW1494202635MaRDI QIDQ2911694

Sigrunn H. Sørbye, Håvard Rue

Publication date: 1 September 2012

Published in: Scandinavian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9469.2011.00741.x

zbMATH Keywords

Gaussian mixturesintegrated nested Laplace approximationshighest posterior density regioncontour probability

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Bayesian inference (62F15) Approximations to statistical distributions (nonasymptotic) (62E17)

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Uses Software

• GMRFLib
• Fahrmeir
• ConfBands
• QSIMVN

Cites Work

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• Approximate Bayesian inference for hierarchical Gaussian Markov random field models
• Inference for multivariate normal mixtures
• Bayesian computation and stochastic systems. With comments and reply.
• Approximate Bayesian Inference for Latent Gaussian models by using Integrated Nested Laplace Approximations
• Saddle point approximation for the distribution of the sum of independent random variables
• Modeling Spatial Variation in Leukemia Survival Data
• Bayesian Measures of Model Complexity and Fit
• Gaussian Markov Random Fields
• Simultaneous Confidence Bands for Penalized Spline Estimators
• Strictly Proper Scoring Rules, Prediction, and Estimation
• A Mixed Model Approach for Geoadditive Hazard Regression
• Parameterization and Bayesian Modeling
• On the Volume of Tubes
• Multivariate statistical modelling based on generalized linear models.