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ExtremalDep (version 0.0.3-3)

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 (1985) , 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

0.0.3-3

License

GPL (>= 2)

Maintainer

Simone Padoan

Last Published

January 16th, 2020

Functions in ExtremalDep (0.0.3-3)

ExtQset

Bivariate Extreme Quantile Sets
bbeed

Bayesian Estimation of Extremal Dependence
alik

Approximate likelihood estimation of extremal dependence models.
beed.boot

Bootstrap Resampling and Bernstein Estimation of Extremal Dependence
angular

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

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

3-D plot of parametric angular densities.
MilanPollution

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

Bernstein Polynomials Based Estimation of Extremal Dependence
beed.confband

Nonparametric Bootstrap Confidence Intervals
chi.bsn

Tail dependence coefficient for the skew-normal distirbution
ellipse

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

Bivariate and trivariate extended skew-t distribution
dmesn

Bivariate and trivariate extended skew-normal distribution
plot.bbeed

Plot of Extremal Dependence
dest

Univariate extended skew-t distribution
UniExtQ

Univariate Extreme Quantile
pk.extst

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

Exponent function of extremal dependence models
excess_pr_extr_mod

Exceedance Probability for extremal dependence models
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.
chi.extst

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

Angular density and likelihood function for some extremal dependence models
r_extr_mod

Random sample generation from extremal dependence models
returns

Compute return values
proposal

Proposal distribution for parametric models
prior

Prior parameter distribution for parametric models.
desn

Univariate extended skew-normal distribution
dens_extr_mod

Density of extremal dependence models
fit_pclik_extr_mod

Fit extremal dependence models using pairwise composite likelihood
posteriorMCMC

MCMC sampler for parametric spectral measures
summary.bbeed

Compute summary statistics from the MCMC output.
madogram

Madogram-based estimation of the Pickands Dependence Function