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SpatialExtremes (version 2.0-5)

Modelling Spatial Extremes

Description

Tools for the statistical modelling of spatial extremes using max-stable processes, copula or Bayesian hierarchical models. More precisely, this package allows (conditional) simulations from various parametric max-stable models, analysis of the extremal spatial dependence, the fitting of such processes using composite likelihoods or least square (simple max-stable processes only), model checking and selection and prediction. Other approaches (although not completely in agreement with the extreme value theory) are available such as the use of (spatial) copula and Bayesian hierarchical models assuming the so-called conditional assumptions. The latter approaches is handled through an (efficient) Gibbs sampler. Some key references: Davison et al. (2012) , Padoan et al. (2010) , Dombry et al. (2013) .

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Version

Install

install.packages('SpatialExtremes')

Monthly Downloads

486

Version

2.0-5

License

GPL (>= 2)

Maintainer

Mathieu Ribatet

Last Published

September 17th, 2017

Functions in SpatialExtremes (2.0-5)

concurrencemap

Maps of concurrence probabilities/expected concurrence cell area
condmap

Produces a conditional 2D map from a fitted max-stable process
condrgp

Conditional simulation of Gaussian random fields
condrmaxlin

Conditional simulation of max-linear random fields
gcv

Estimates the penalty coefficient from the generalized cross-validation criterion
gev2frech

Transforms GEV data to unit Frechet ones and vice versa
madogram

Computes madograms
map

Produces a 2D map from a fitted max-stable process
rbpspline

Fits a penalized spline with radial basis functions to data
rcopula

Simulation from copula based models with unit Frechet margins
vdc

Van der Corput Sequence
wind

Annual maxima wind gusts in the Netherlands.
TIC

Takeuchi's information criterion
USHCNTemp

Summer/Winter annual maxima/minima temperature in continental US.
cv

Estimates the penalty coefficient from the cross-validation criterion
distance

Computes distance between pairs of locations
Internal functions and methods

Internal functions and methods for the maxstable package.
kriging

Simple kriging interpolation
profile

Method for profiling fitted max-stable objects
profile2d

Method for profiling (in 2d) fitted max-stable objects
fitcopula

Fit a copula-based model to spatial extremes
fitcovariance

Estimates the covariance function for the Schlather's model
map.latent

Two dimensional map from a Bayesian hierarchical model
anova

Anova Tables
modeldef

Define a model for the spatial behaviour of the GEV parameters
concprob

Pairwise empirical and extremal concurrence probabilities
extcoeff

Plots the extremal coefficient
fitextcoeff

Non parametric estimators of the extremal coefficient function
fitspatgev

MLE for a spatial GEV model
fmadogram

Computes the F-madogram
predict

Prediction of the marginal parameters for various models
print

Printing objects of classes defined in the SpatialExtreme packages
qqextcoeff

QQ-plot for the extremal coefficient
qqgev

QQ-plot for the GEV parameters
rmaxstab

Simulation of Max-Stable Random Fields
swiss

Map of the Switzerland.
Generalized Pareto Distribution

The Generalized Pareto Distribution
SpatialExtremes

Analysis of Spatial Extremes
logLik

Extracts Log-Likelihood
lsmaxstab

Estimates the spatial dependence parameter of a max-stable process by minimizing least squares.
latent

Bayesian hierarchical models for spatial extremes
lmadogram

Computes the lambda-madogram
plot.copula

Model checking of a fitted copula based model.
DIC

Deviance Information Criterion
Generalized Extreme Value Distribution

The Generalized Extreme Value Distribution
plot.maxstab

Model checking of a fitted max-stable model
rgp

Gaussian Random Fields Simulation
rmaxlin

Simulation from max-linear models
fitcovmat

Estimates the covariance matrix for the Smith's model
fitmaxstab

Fits a max-stable process to data
margin fits

Fits univariate extreme value distributions to data
variogram

Empirical variogram
condrmaxstab

Conditional simulation of max-stable processes
rainfall

Summer annual maxima precipitation in Switzerland
rb

Creates a model using penalized smoothing splines
swissalt

Elevation in Switzerland
covariance

Defines and computes covariance functions
symbolplot

Detecting spatial trends graphically