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Advanced Spatial Modeling with Stochastic Partial Differential Equations Using R and INLA (Hardcover)
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Advanced Spatial Modeling with Stochastic Partial Differential Equations Using R and INLA (Hardcover)
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Modeling spatial and spatio-temporal continuous processes is an
important and challenging problem in spatial statistics. Advanced
Spatial Modeling with Stochastic Partial Differential Equations
Using R and INLA describes in detail the stochastic partial
differential equations (SPDE) approach for modeling continuous
spatial processes with a Matern covariance, which has been
implemented using the integrated nested Laplace approximation
(INLA) in the R-INLA package. Key concepts about modeling spatial
processes and the SPDE approach are explained with examples using
simulated data and real applications. This book has been authored
by leading experts in spatial statistics, including the main
developers of the INLA and SPDE methodologies and the R-INLA
package. It also includes a wide range of applications: * Spatial
and spatio-temporal models for continuous outcomes * Analysis of
spatial and spatio-temporal point patterns * Coregionalization
spatial and spatio-temporal models * Measurement error spatial
models * Modeling preferential sampling * Spatial and
spatio-temporal models with physical barriers * Survival analysis
with spatial effects * Dynamic space-time regression * Spatial and
spatio-temporal models for extremes * Hurdle models with spatial
effects * Penalized Complexity priors for spatial models All the
examples in the book are fully reproducible. Further information
about this book, as well as the R code and datasets used, is
available from the book website at http://www.r-inla.org/spde-book.
The tools described in this book will be useful to researchers in
many fields such as biostatistics, spatial statistics,
environmental sciences, epidemiology, ecology and others. Graduate
and Ph.D. students will also find this book and associated files a
valuable resource to learn INLA and the SPDE approach for spatial
modeling.
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