An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach

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DOI10.1111/j.1467-9868.2011.00777.xzbMath1274.62360OpenAlexW1837874438WikidataQ57014414 ScholiaQ57014414MaRDI QIDQ68580

Håvard Rue, Johan Lindström, Finn Lindgren, Håvard Rue, Finn Lindgren, Johan Lindström

Publication date: 4 August 2011

Published in: Journal of the Royal Statistical Society Series B: Statistical Methodology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9868.2011.00777.x

zbMATH Keywords

stochastic partial differential equations sparse matrices Gaussian fields latent Gaussian models approximate Bayesian inference covariance functions Gaussian Markov random fields

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Random fields; image analysis (62M40) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Geostatistics (86A32) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

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