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ExtremalDep (version 0.0.3-5)

Extremal Dependence Models

Description

A set of procedures for modelling parametrically and non-parametrically the dependence structure of multivariate extreme-values is provided. The statistical inference is performed with non-parametric estimators, likelihood-based estimators and Bayesian techniques. Adapts the methodologies derived in Beranger et al. (2019) , Beranger et al. (2017) , Beranger and Padoan (2015) , Marcon et al. (2017) , Marcon et al. (2017) and Marcon et al. (2016) . It also refers to the works of Bortot (2010) , Padoan (2011) , Cooley et al. (2010) , Husler and Reiss (1989) , Engelke et al. (2015) , Coles and Tawn (1991) , Nikoloulopoulos et al. (2011) , Opitz (2013) , Tawn (1990) , Azzalini and Capitanio (2014) , Azzalini (2003) , Azzalini and Capitanio (1999) , Azzalini and Dalla Valle (1996) , Einmahl et al. (2013) , Naveau et al (2009) and Heffernan and Tawn (2004) .

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Version

Install

install.packages('ExtremalDep')

Monthly Downloads

301

Version

0.0.3-5

License

GPL (>= 2)

Maintainer

Simone Padoan

Last Published

May 9th, 2022

Functions in ExtremalDep (0.0.3-5)

alik

Approximate likelihood estimation of extremal dependence models.
angular

Estimation of the angular density, angular measure and random generation from the angular distribution.
bbeed

Bayesian Estimation of Extremal Dependence
AngDensPlot

3-D plot of parametric angular densities.
UniExtQ

Univariate Extreme Quantile
beed

Bernstein Polynomials Based Estimation of Extremal Dependence
MilanPollution

Pollution data for summer and winter months in Milan, Italy.
Wind

Weekly maximum wind speed data collected over 4 stations across Oklahoma, USA, over the March-May preiod between 1996 and 2012.
beed.boot

Bootstrap Resampling and Bernstein Estimation of Extremal Dependence
ExtQset

Bivariate Extreme Quantile Sets
dens_extr_mod

Density of extremal dependence models
beed.confband

Nonparametric Bootstrap Confidence Intervals
pk.extst

Pickands dependence function for the Extremal Skew-$t$ model.
chi.bsn

Tail dependence coefficient for the skew-normal distirbution
plot.bbeed

Plot of Extremal Dependence
dmesn

Bivariate and trivariate extended skew-normal distribution
dest

Univariate extended skew-t distribution
pollution

Air quality datasets containing daily maxima of air pollutants (PM10, NO, NO2, 03 and S02) recorded in Leeds (U.K.), during five winter seasons (November-Februrary) between 1994 and 1998.
posteriorMCMC

MCMC sampler for parametric spectral measures
prior

Prior parameter distribution for parametric models.
chi.extst

Tail dependence coefficient for the Extremal Skew-$t$ model
dens

Angular density and likelihood function for some extremal dependence models
dmest

Bivariate and trivariate extended skew-t distribution
proposal

Proposal distribution for parametric models
exponent_extr_mod

Exponent function of extremal dependence models
ellipse

Level sets for bivariate normal, student-t and skew-normal distributions probability densities.
fit_pclik_extr_mod

Fit extremal dependence models using pairwise composite likelihood
excess_pr_extr_mod

Exceedance Probability for extremal dependence models
madogram

Madogram-based estimation of the Pickands Dependence Function
r_extr_mod

Random sample generation from extremal dependence models
returns

Compute return values
summary.bbeed

Compute summary statistics from the MCMC output.
desn

Univariate extended skew-normal distribution