Package: ExtremalDep 1.0.0

Simone Padoan

ExtremalDep: Extremal Dependence Models

A set of procedures for parametric and non-parametric modelling of the dependence structure of multivariate extreme-values is provided. The statistical inference is performed with non-parametric estimators, likelihood-based estimators and Bayesian techniques. It adapts the methodologies of Beranger and Padoan (2015) <doi:10.48550/arXiv.1508.05561>, Marcon et al. (2016) <doi:10.1214/16-EJS1162>, Marcon et al. (2017) <doi:10.1002/sta4.145>, Marcon et al. (2017) <doi:10.1016/j.jspi.2016.10.004> and Beranger et al. (2021) <doi:10.1007/s10687-019-00364-0>. This package also allows for the modelling of spatial extremes using flexible max-stable processes. It provides simulation algorithms and fitting procedures relying on the Stephenson-Tawn likelihood as per Beranger at al. (2021) <doi:10.1007/s10687-020-00376-1>.

Authors:Boris Beranger [aut], Simone Padoan [cre, aut], Giulia Marcon [aut], Steven G. Johnson [ctb], Rudolf Schuerer [ctb], Brian Gough [ctb], Alec G. Stephenson [ctb], Anne Sabourin [ctb], Philippe Naveau [ctb]

ExtremalDep_1.0.0.tar.gz
ExtremalDep_1.0.0.tar.gz(r-4.7-arm64)ExtremalDep_1.0.0.tar.gz(r-4.7-x86_64)ExtremalDep_1.0.0.tar.gz(r-4.6-arm64)ExtremalDep_1.0.0.tar.gz(r-4.6-x86_64)
ExtremalDep_1.0.0.tgz(r-4.6-emscripten)
manual.pdf |manual.html
card.svg |card.png
ExtremalDep/json (API)

# Install 'ExtremalDep' in R:
install.packages('ExtremalDep', repos = c('https://cran.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/borisberanger/extremaldep/issues

Uses libs:
  • openblas– Optimized BLAS
Datasets:
  • CLAY.SALL.PAUL - Weekly Maximum Wind Speed Data Across 4 Stations in Oklahoma, USA
  • CLOU.CLAY.PAUL - Weekly Maximum Wind Speed Data Across 4 Stations in Oklahoma, USA
  • CLOU.CLAY.SALL - Weekly Maximum Wind Speed Data Across 4 Stations in Oklahoma, USA
  • CLOU.SALL.PAUL - Weekly Maximum Wind Speed Data Across 4 Stations in Oklahoma, USA
  • heatdata - Summer temperature maxima in Melbourne, Australia between 1961 and 2010
  • Leeds.frechet - Air quality datasets recorded in Leeds
  • Lingen - Hourly Wind Gust, Wind Speed, and Air Pressure at Lingen
  • locgrid - Summer temperature maxima in Melbourne, Australia between 1961 and 2010
  • logReturns - Monthly maxima of log-return exchange rates of the Pound Sterling (GBP) against the US dollar (USD) and the Japanese yen (JPY), between March 1991 and December 2014
  • mellat - Summer temperature maxima in Melbourne, Australia between 1961 and 2010
  • mellon - Summer temperature maxima in Melbourne, Australia between 1961 and 2010
  • Milan.summer - Pollution data for summer and winter months in Milan, Italy
  • Milan.winter - Pollution data for summer and winter months in Milan, Italy
  • NSN - Air quality datasets recorded in Leeds
  • Ossendorf - Hourly Wind Gust, Wind Speed, and Air Pressure at Lingen
  • ParcayMeslay - Hourly Wind Gust, Wind Speed, and Air Pressure at Lingen
  • PNN - Air quality datasets recorded in Leeds
  • PNNS - Air quality datasets recorded in Leeds
  • PNS - Air quality datasets recorded in Leeds
  • PrecipFrance - Weekly maxima of hourly rainfall in France
  • scalegrid - Summer temperature maxima in Melbourne, Australia between 1961 and 2010
  • shapegrid - Summer temperature maxima in Melbourne, Australia between 1961 and 2010
  • winterdat - Air quality datasets recorded in Leeds

On CRAN:

Conda:

openblas

2.00 score 7 scripts 351 downloads 45 exports 63 dependencies

Last updated from:55c675e6d3. Checks:6 OK. Indexed: no.

TargetResultTimeFilesSyslog
linux-devel-arm64OK227
linux-devel-x86_64OK232
source / vignettesOK201
linux-release-arm64OK204
linux-release-x86_64OK191
wasm-releaseOK132

Exports:angularangular.plotbeedbeed.bootbeed.confbandbicdesndestdExtDepdGEVdiagnosticsdim_ExtDepdmesndmestellipseestExtQfExtDepfExtDep.npfExtDepSpatfGEVindex.ExtDeplambda.HRmadogrammethodmodelPAMfmadopesnpestpExtDeppFailurepGEVpickands.plotpmesnpmestqGEVreturnsreturns.plotrExtDeprExtDepSpatsimplexStdErrtictrans2GEVtrans2UFrechet

Dependencies:ADGofTestashbitopscliclustercodetoolscolorspacecopulacpp11deSolvedoParallelevdfarverfdafdsFNNforeachggplot2gluegslgtablegtoolshdrcdeisobanditeratorskernlabKernSmoothkslabelinglatticelifecyclelocfitMASSMatrixMatrixModelsmclustmgcvmnormtmulticoolmvtnormnlmenloptrnumDerivpcaPPpracmapsplinequadprogquantregR6rainbowRColorBrewerRcppRCurlrlangS7scalessnSparseMstabledistsurvivalvctrsviridisLitewithr

Readme and manuals

Help Manual

Help pageTopics
Estimation of the angular density, angular measure, and random generation from the angular distributionangular
Angular density plot.angular.plot
Bernstein Polynomials Based Estimation of Extremal Dependencebeed
Bootstrap Resampling and Bernstein Estimation of Extremal Dependencebeed.boot
Nonparametric Bootstrap Confidence Intervalsbeed.confband
Extract the Bayesian Information Criterionbic
Univariate extended skew-normal distributiondesn pesn
Univariate extended skew-t distributiondest pest
Parametric and non-parametric density of Extremal DependencedExtDep
The Generalized Extreme Value DistributiondGEV pGEV qGEV
Diagnostics plots for MCMC algorithmdiagnostics
Dimensions calculations for parametric extremal dependence modelsdim_ExtDep
Bivariate and Trivariate Extended Skew-Normal Distributiondmesn pmesn
Bivariate and trivariate extended skew-t distributiondmest pmest
Level sets for bivariate normal, student-t and skew-normal distributions probability densities.ellipse
Extract the estimated parameterest
Univariate Extreme QuantileExtQ
Extremal Dependence EstimationfExtDep logLik.ExtDep_Freq plot.ExtDep_Bayes plot.ExtDep_Freq summary.ExtDep_Bayes
Non-parametric extremal dependence estimationfExtDep.np plot.ExtDep_npBayes plot.ExtDep_npEmp plot.ExtDep_npFreq summary.ExtDep_npBayes
Fitting of a max-stable processfExtDepSpat logLik.ExtDep_Spat
Fitting of the Generalized Extreme Value DistributionfGEV
Summer temperature maxima in Melbourne, Australia between 1961 and 2010heat heatdata locgrid mellat mellon scalegrid shapegrid
Index of extremal dependenceindex.ExtDep
Valid set of parameters for the 3-dimensional Husler-Reiss modellambda.HR
Monthly maxima of log-return exchange rates of the Pound Sterling (GBP) against the US dollar (USD) and the Japanese yen (JPY), between March 1991 and December 2014logReturns
Madogram-based estimation of the Pickands Dependence Functionmadogram
Extract the method attributemethod
Pollution data for summer and winter months in Milan, ItalyMilan.summer Milan.winter MilanPollution
Extract the model attributemodel
Clustering of maximaPAMfmado
Parametric and Non-Parametric Distribution Function of Extremal DependencepExtDep
Probability of Falling into a Failure RegionpFailure
Plot for the Pickands dependence functionpickands.plot
Air quality datasets recorded in Leeds (U.K.)Leeds.frechet NSN PNN PNNS PNS pollution winterdat
Weekly maxima of hourly rainfall in Francelat lon precip PrecipFrance
Compute return valuesreturns
Plot return levelsreturns.plot
Parametric and semi-parametric random generator of extreme eventsrExtDep
Random generation of max-stable processesrExtDepSpat
Definition of a multivariate simplexsimplex
Extract the standard errors of estimated parametersStdErr
Extract the Takeuchi Information Criteriontic
Transformation to GEV Distributiontrans2GEV
Transformation to Unit Frechet Distributiontrans2UFrechet
Weekly Maximum Wind Speed Data Across 4 Stations in Oklahoma, USA (March-May, 1996-2012)CLAY.SALL.PAUL CLOU.CLAY.PAUL CLOU.CLAY.SALL CLOU.SALL.PAUL Wind
Hourly Wind Gust, Wind Speed, and Air Pressure at Lingen (GER), Ossendorf (GER), and Parcay-Meslay (FRA)Lingen Ossendorf ParcayMeslay WindSpeedGust