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SpatialExtremes (version 2.0-7)

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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Install

install.packages('SpatialExtremes')

Monthly Downloads

816

Version

2.0-7

License

GPL (>= 2)

Maintainer

Last Published

July 2nd, 2018

Functions in SpatialExtremes (2.0-7)

plot.copula

Model checking of a fitted copula based model.
latent

Bayesian hierarchical models for spatial extremes
SpatialExtremes

Analysis of Spatial Extremes
covariance

Defines and computes covariance functions
plot.maxstab

Model checking of a fitted max-stable model
Internal functions and methods

Internal functions and methods for the maxstable package.
rainfall

Summer annual maxima precipitation in Switzerland
kriging

Simple kriging interpolation
madogram

Computes madograms
map

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

Computes the lambda-madogram
rb

Creates a model using penalized smoothing splines
predict

Prediction of the marginal parameters for various models
cv

Estimates the penalty coefficient from the cross-validation criterion
profile2d

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

Printing objects of classes defined in the SpatialExtreme packages
distance

Computes distance between pairs of locations
wind

Annual maxima wind gusts in the Netherlands.
vdc

Van der Corput Sequence
profile

Method for profiling fitted max-stable objects
fitspatgev

MLE for a spatial GEV model
symbolplot

Detecting spatial trends graphically
rmaxstab

Simulation of Max-Stable Random Fields
condrgp

Conditional simulation of Gaussian random fields
condrmaxlin

Conditional simulation of max-linear random fields
gev2frech

Transforms GEV data to unit Frechet ones and vice versa
gcv

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

Define a model for the spatial behaviour of the GEV parameters
map.latent

Two dimensional map from a Bayesian hierarchical model
qqgev

QQ-plot for the GEV parameters
rmaxlin

Simulation from max-linear models
fmadogram

Computes the F-madogram
logLik

Extracts Log-Likelihood
qqextcoeff

QQ-plot for the extremal coefficient
lsmaxstab

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

Gaussian Random Fields Simulation
rbpspline

Fits a penalized spline with radial basis functions to data
margin fits

Fits univariate extreme value distributions to data
swiss

Map of the Switzerland.
rcopula

Simulation from copula based models with unit Frechet margins
variogram

Empirical variogram
swissalt

Elevation in Switzerland
concurrencemap

Maps of concurrence probabilities/expected concurrence cell area
Generalized Pareto Distribution

The Generalized Pareto Distribution
extcoeff

Plots the extremal coefficient
anova

Anova Tables
condmap

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

Deviance Information Criterion
TIC

Takeuchi's information criterion
fitcopula

Fit a copula-based model to spatial extremes
Generalized Extreme Value Distribution

The Generalized Extreme Value Distribution
concprob

Pairwise empirical and extremal concurrence probabilities
USHCNTemp

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

Conditional simulation of max-stable processes
fitcovariance

Estimates the covariance function for the Schlather's model
fitmaxstab

Fits a max-stable process to data
fitextcoeff

Non parametric estimators of the extremal coefficient function
fitcovmat

Estimates the covariance matrix for the Smith's model