Advanced Spatial Modeling with Stochastic Partial Differential Equations Using R and Inla

ISBN-13: 9780367570644 / Angielski / Miękka / 2020 / 284 str.

Elias Krainski; Virgilio Gómez-Rubio; Haakon Bakka

Opis

The Integrated Nested Laplace Approximation is a popular method for approximate Bayesian inference. INLA is an alternative to other methods for Bayesian inference, such as Markov Chain Monte Carlo, that are more computationally demanding. In addition, the R-INLA package for the R statistical software provides a way to fit such models in practice

Recenzje

"Besides the epidemiological perspective, they have also tried to address many of the applied issues in disease mapping practice, which may make this book different from others previously published on this topic. To further facilitate understanding, the authors have made all code and data used in their examples available. A GitHub repository has also been created for hosting the book’s online supplementary material. Thus, one can make use of the functionalities that GitHub deploys for their repositories, such as highlighting points to be clarified by the authors. As a great novelty of the book, the online material may enable readers to have direct access to most of the statistical/computing details that there is not enough room to fully explain within the book." ~Sada Nand Dwivedi, ICSB News

Spis treści

1. The Integrated Nested Laplace Approximation. 2. Continuous spatial processes. 3. Non-Gaussian observations and covariates in the covariance. 4. Manipulating the random field and more than one likelihood. 5. Log-Cox point process and preferential sampling. 6. Space-time models. 7. Space-time models with different meshes.

O autorze

Elias T. Krainski is a Professor Adjunto in the Department of Statistics, Universidade Federal do Paraná (Curitiba, Brazil). He has been working on new space-time models and applications in epidemiology and fisheries with INLA and SPDE.

Virgilio Gómez-Rubio is an Associate Professor in the Department of Mathematics, Universidad de Castilla-La Mancha (Albacete, Spain). His research interests are on Bayesian inference, spatial statistics and computational statistics. He has also developed several packages for the R language on spatial data analysis and Bayesian computation.

Haakon Bakka is a Post Doctoral Fellow at the King Abdullah University of Science and Technology. He has given many courses in both INLA and the SPDE approach, and parts of his research on spatial models are included in this book.

Amanda Lenzi is a Post-Doctoral Fellow at the King Abdullah University of Science and Technology in Saudi Arabia, where she is part of the Spatio-Temporal Statistics and Data Science Group. Her research interest is on spatial and spatio-temporal statistics with applications in environmental science, especially in wind energy.

Daniela Castro-Camilo is a Post-Doctoral Fellow working in the Extreme Statistics Research Group at the King Abdullah University of Science and Technology, in Saudi Arabia. Her research interest is on the theory and applications of multivariate and spatial extremes, with a particular focus in environmental applications.

Daniel Simpson is an Assistant Professor in the Department of Statistical Sciences, University of Toronto. His research interests are on Computational Statistics, Spatial Statistics, Bayesian Statistics, and Numerical Linear Algebra. He has also been working on Penalized Complexity priors and the analysis of point patterns with INLA and SPDEs.

Finn Lindgren is a Chair of Statistics in the School of Mathematics at the University of Edinburgh, Scotland. His research covers spatial stochastic modeling and associated computational methods, including applications in climate science, ecology, medical statistics, geosciences, and general environmetrics. He developed the core methods and code for the SPDE interface of the R-INLA package, is a co-developer of the related packages "excursions" and "inlabru," and has given lecture series and practical workshops on spatial modeling with INLA.

Håvard Rue is a Professor of Statistics, at the CEMSE Division at the King Abdullah University of Science and Technology, Saudi Arabia, where he leads a research group on Bayesian Computational Statistics & Modeling. He is the main developer of the INLA methodology and the R-INLA Project.