Spatial and spatio-temporal Bayesian models with R-INLA / by Marta Blangiardo and Michela Cameletti.

Spatial and Spatio-Temporal Bayesian Models with R-INLA provides a muchneeded, practically oriented & innovative presentation of the combination ofBayesian methodology and spatial statistics. The authors combine an introduction toBayesian theory and methodology with a focus on the spatial and sp...

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Bibliographic Details
Main Author: Blangiardo, Marta
Other Authors: Cameletti, Michela
Format: eBook
Language:English
Published: Chichester, West Sussex : John Wiley and Sons, Inc., 2015.
Subjects:
Online Access:Click for online access

MARC

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245 1 0 |a Spatial and spatio-temporal Bayesian models with R-INLA /  |c by Marta Blangiardo and Michela Cameletti. 
264 1 |a Chichester, West Sussex :  |b John Wiley and Sons, Inc.,  |c 2015. 
300 |a 1 online resource 
336 |a text  |b txt  |2 rdacontent 
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338 |a online resource  |b cr  |2 rdacarrier 
504 |a Includes bibliographical references and index. 
588 0 |a Print version record and CIP data provided by publisher; resource not viewed. 
505 0 |a Title Page; Copyright; Table of Contents; Dedication; Preface; Chapter 1: Introduction; 1.1 Why spatial and spatio-temporal statistics?; 1.2 Why do we use Bayesian methods for modeling spatial and spatio-temporal structures?; 1.3 Why INLA?; 1.4 Datasets; References; Chapter 2: Introduction to R; 2.1 The R language; 2.2 R objects; 2.3 Data and session management; 2.4 Packages; 2.5 Programming in R; 2.6 Basic statistical analysis with R; References; Chapter 3: Introduction to Bayesian methods; 3.1 Bayesian philosophy; 3.2 Basic probability elements; 3.3 Bayes theorem. 
505 8 |a 3.4 Prior and posterior distributions3.5 Working with the posterior distribution; 3.6 Choosing the prior distribution; References; Chapter 4: Bayesian computing; 4.1 Monte Carlo integration; 4.2 Monte Carlo method for Bayesian inference; 4.3 Probability distributions and random number generation in R; 4.4 Examples of Monte Carlo simulation; 4.5 Markov chain Monte Carlo methods; 4.6 The integrated nested Laplace approximations algorithm; 4.7 Laplace approximation; 4.8 The R-INLA package; 4.9 How INLA works: step-by-step example; References. 
505 8 |a Chapter 5: Bayesian regression and hierarchical models5.1 Linear regression; 5.2 Nonlinear regression: random walk; 5.3 Generalized linear models; 5.4 Hierarchical models; 5.5 Prediction; 5.6 Model checking and selection; References; Chapter 6: Spatial modeling; 6.1 Areal data -- GMRF; 6.2 Ecological regression; 6.3 Zero-inflated models; 6.4 Geostatistical data; 6.5 The stochastic partial differential equation approach; 6.6 SPDE within R-INLA; 6.7 SPDE toy example with simulated data; 6.8 More advanced operations through the inla.stack function; 6.9 Prior specification for the stationary case. 
505 8 |a 6.10 SPDE for Gaussian response: Swiss rainfall data6.11 SPDE with nonnormal outcome: malaria in the Gambia; 6.12 Prior specification for the nonstationary case; References; Chapter 7: Spatio-temporal models; 7.1 Spatio-temporal disease mapping; 7.2 Spatio-temporal modeling particulate matter concentration; References; Chapter 8: Advanced modeling; 8.1 Bivariate model for spatially misaligned data; 8.2 Semicontinuous model to daily rainfall; 8.3 Spatio-temporal dynamic models; 8.4 Space-time model lowering the time resolution; References; Index; End User License Agreement. 
520 |a Spatial and Spatio-Temporal Bayesian Models with R-INLA provides a muchneeded, practically oriented & innovative presentation of the combination ofBayesian methodology and spatial statistics. The authors combine an introduction toBayesian theory and methodology with a focus on the spatial and spatio­-temporal modelsused within the Bayesian framework and a series of practical examples which allowthe reader to link the statistical theory presented to real data problems. The numerousexamples from the fields of epidemiology, biostatistics and social science all arecoded in the R package R-INLA, which has proven to be a valid alternative to the commonlyused Markov Chain Monte Carlo simulations. 
650 0 |a Bayesian statistical decision theory. 
650 0 |a Spatial analysis (Statistics) 
650 0 |a Asymptotic distribution (Probability theory) 
650 0 |a R (Computer program language) 
650 7 |a spatial analysis.  |2 aat 
650 7 |a MATHEMATICS  |x Applied.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Probability & Statistics  |x General.  |2 bisacsh 
650 7 |a Asymptotic distribution (Probability theory)  |2 fast 
650 7 |a Bayesian statistical decision theory  |2 fast 
650 7 |a R (Computer program language)  |2 fast 
650 7 |a Spatial analysis (Statistics)  |2 fast 
700 1 |a Cameletti, Michela. 
758 |i has work:  |a Spatial and spatio temporal bayesian models with R-Inla (Text)  |1 https://id.oclc.org/worldcat/entity/E39PD3KHyX76VYKj6VxvfjPpDV  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Blangiardo, Marta.  |t Spatial and spatio-temporal Bayesian models with R-INLA.  |d Chichester, West Sussex : John Wiley and Sons, Inc., 2015  |z 9781118326558  |w (DLC) 2015000696 
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