mev2.0 package

Modelling of Extreme Values

adf

Estimation of the bivariate angular dependence function

angextrapo

Bivariate angular dependence function for extrapolation based on rays

angmeas

Rank-based transformation to angular measure

angmeasdir

Dirichlet mixture smoothing of the angular measure

automrl

Automated mean residual life plots

clikmgp

Censored likelihood for multivariate peaks over threshold models

confint.eprof

Confidence intervals for profile likelihood objects

cvselect

Threshold selection via coefficient of variation

dgeoaniso

Distance matrix with geometric anisotropy

distg

Distance matrix with geometric anisotropy

dot-fit.gpd.grimshaw

GP fitting function of Grimshaw (1993)

dot-fit.gpd.rob

Robust threshold selection of Dupuis

dot-gev.postpred

Posterior predictive distribution and density for the GEV distribution

dot-gpd_2D_fit

Maximum likelihood method for the generalized Pareto Model

dot-is.CNSD

Is the matrix conditionally negative semi-definite? Function adapted f...

dot-Joint_MLE_Expl

Joint maximum likelihood estimation for exponential model

dot-mvasym.check

Internal function

dot-rbilogspec

Generates from QiQi, the spectral measure of the bilogistic model

dot-rbrspec

Generates from QiQi, the spectral measure of the Brown-Resnick model

dot-rdirmixspec

Generates from QiQi, the spectral measure of the Dirichlet mixture mod...

dot-rdirspec

Generates from QiQi, the spectral measure of the extremal Dirichlet mo...

dot-rexstudspec

Generates from QiQi, the spectral measure of the extremal Student mode...

dot-rhrspec

Generates from QiQi, the spectral measure of the Husler-Reiss model

dot-rlogspec

Generates from QiQi, the spectral measure of the logistic model

dot-rmevA1

Multivariate extreme value distribution sampling algorithm via angular...

dot-rmevA2

Multivariate extreme value distribution sampling algorithm via extrema...

dot-rmevasy

Random samples from asymmetric logistic distribution

dot-rmevspec_cpp

Random sampling from spectral distribution on l1 sphere

dot-rmnorm_arma

Multivariate Normal distribution sampler (Rcpp version), derived using...

dot-rneglogspec

Generates from QiQi, the spectral measure of the negative logistic mod...

dot-rpairbetaspec

Generates from QiQi, the spectral measure of the pairwise Beta model

dot-rpairexpspec

Generates from QiQi, the spectral measure of the pairwise exponential ...

dot-rPbilog

Generate from bilogistic YPxY \sim {P_x}, where PxP_{x} is the probabil...

dot-rPBrownResnick

Generate from Brown-Resnick process YPxY \sim {P_x}, where PxP_{x} is p...

dot-rPdir

Generate from extremal Dirichlet YPxY \sim {P_x}, where PxP_{x} is the ...

dot-rPdirmix

Generate from extremal Dirichlet YPxY \sim {P_x}, where PxP_{x} is the ...

dot-rPexstud

Generate from extremal Student-t YPxY \sim {P_x}, where PxP_{x} is prob...

dot-rPHuslerReiss

Generate from extremal Husler-Reiss distribution YPxY \sim {P_x}, where...

dot-rPlog

Generate from logistic YPxY \sim {P_x}, where PxP_{x} is probability of...

dot-rPneglog

Generate from negative logistic YPxY \sim {P_x}, where PxP_{x} is proba...

dot-rPsite

Samples from exceedances at site (scaled extremal function definition)

dot-rPSmith

Generate from Smith model (moving maxima) YPxY \sim {P_x}, where $P_{x}...

dot-rsmithspec

Generates from QiQi, the spectral measure of the Smith model (moving m...

dot-rwdirbsspec

Generates from QiQi, the spectral measure of the weighted Dirichlet mo...

dot-rwexpbsspec

Generates from QiQi, the spectral measure of the weighted exponential ...

dot-wecdf

Weighted empirical distribution function

egp-function

Extended generalised Pareto log likelihood

egp.fit

Fit of extended GP models and parameter stability plots

egp.fitrange

Deprecated function for parameter stability plots

egp.pll

Profile log likelihood for extended generalized Pareto models

egp

Extended generalised Pareto families

egp2.fit

Fit an extended generalized Pareto distribution of Naveau et al.

egpdist

Extended generalized Pareto distribution

emplik

Self-concordant empirical likelihood for a vector mean

expme

Exponent measure for multivariate generalized Pareto distributions

ext.index

Extremal index estimators

extcoef

Estimators of the extremal coefficient

extgp-functions

Extended GP functions

extgp.G

Carrier distribution for the extended GP distributions of Naveau et al...

extgp

Extended generalised Pareto families of Naveau et al. (2016)

extremo

Pairwise extremogram for max-risk functional

fit.egp

Parameter stability plot and maximum likelihood routine for extended G...

fit.extgp

Fit an extended generalized Pareto distribution of Naveau et al.

fit.gev

Maximum likelihood estimation for the generalized extreme value distri...

fit.gpd

Maximum likelihood estimation for the generalized Pareto distribution

fit.pp

Maximum likelihood estimation of the point process of extremes

fit.rho

Estimator of the second order tail index parameter

fit.rlarg

Maximum likelihood estimates of point process for the r-largest observ...

fit.shape

Shape parameter estimates

fit.wgpd

Maximum likelihood estimation for weighted generalized Pareto distribu...

gev.abias

Asymptotic bias of block maxima for fixed sample sizes

gev.bcor

Bias correction for GEV distribution

gev.bias

Cox-Snell first order bias for the GEV distribution

gev.Fscore

Firth's modified score equation for the generalized extreme value dist...

gev.infomat

Information matrix for the generalized extreme value distribution

gev.ll

Log likelihood for the generalized extreme value distribution

gev.mle

Generalized extreme value maximum likelihood estimates for various qua...

gev.Nyr

N-year return levels, median and mean estimate

gev.pll

Profile log-likelihood for the generalized extreme value distribution

gev

Generalized extreme value distribution

gev.retlev

Return level for the generalized extreme value distribution

gev.score

Score vector for the generalized extreme value distribution

gev.tem

Tangent exponential model approximation for the GEV distribution

gev.temstat

Tangent exponential model statistics for the generalized extreme value...

gevdist

Generalized extreme value distribution

gevN.infomat

Information matrix of the generalized extreme value distribution (quan...

gevN.ll

Negative log likelihood of the generalized extreme value distribution ...

gevN.mean

This function returns the mean of N observations from the GEV.

gevN

Generalized extreme value distribution (quantile/mean of N-block maxim...

gevN.score

Score of the generalized extreme value distribution (quantile/mean of ...

gevN.temstat

Tangent exponential model statistics for the generalized Pareto distri...

gevr.infomat

Observed information matrix for GEV distribution (return levels)

gevr.ll

Negative log likelihood of the generalized extreme value distribution ...

gevr

Generalized extreme value distribution (return level parametrization)

gevr.score

Score of the log likelihood for the GEV distribution (return levels)

gevr.temstat

Tangent exponential model statistics for the GEV distribution (return ...

gp.fit

Maximum likelihood estimate of generalized Pareto applied to threshold...

gpd.abias

Asymptotic bias of threshold exceedances for k order statistics

gpd.bcor

Bias correction for GP distribution

gpd.bias

Cox-Snell first order bias expression for the generalized Pareto distr...

gpd.boot

Bootstrap approximation for generalized Pareto parameters

gpd.Fscore

Firth's modified score equation for the generalized Pareto distributio...

gpd.infomat

Information matrix for the generalized Pareto distribution

gpd.ll

Log likelihood for the generalized Pareto distribution

gpd.lmom

Estimation of generalized Pareto parameters via L-moments

gpd.mle

Generalized Pareto maximum likelihood estimates for various quantities...

gpd.pll

Profile log-likelihood for the generalized Pareto distribution

gpd

Generalized Pareto distribution

gpd.score

Score vector for the generalized Pareto distribution

gpd.tem

Tangent exponential model approximation for the GP distribution

gpd.temstat

Tangent exponential model statistics for the generalized Pareto distri...

gpde.infomat

Observed information matrix for the GP distribution (expected shortfal...

gpde.ll

Negative log likelihood of the generalized Pareto distribution (expect...

gpde

Generalized Pareto distribution (expected shortfall parametrization)

gpde.score

Score vector for the GP distribution (expected shortfall)

gpde.temstat

Tangent exponential model statistics for the generalized Pareto distri...

gpdist

Generalized Pareto distribution

gpdN.infomat

Information matrix of the generalized Pareto distribution (mean of max...

gpdN.ll

Negative log likelihood of the generalized Pareto distribution (mean o...

gpdN.mean

This function returns the mean of N maxima from the GP.

gpdN.quant

This function returns the qth percentile of N maxima from the GP.

gpdN

Generalized Pareto distribution (mean of maximum of N exceedances para...

gpdN.score

Score vector of the generalized Pareto distribution (mean of maximum o...

gpdN.temstat

Tangent exponential model statistics for the generalized Pareto distri...

gpdr.infomat

Observed information matrix for GP distribution (return levels)

gpdr.ll

Negative log likelihood of the generalized Pareto distribution (return...

gpdr

Generalized Pareto distribution (return level parametrization)

gpdr.score

Score of the profile log likelihood for the GP distribution (return le...

gpdr.temstat

Tangent exponential model statistics for the generalized Pareto distri...

gpdtopar

Transformation from the generalized Pareto to unit Pareto

ibvpot

Interpret bivariate threshold exceedance models

infomat.test

Information matrix test statistic and MLE for the extremal index

intensBR

Intensity function for the Brown-Resnick model

intensXstud

Intensity function for the extremal Student model

jac_gpd_pareto

Jacobian of the transformation from generalized Pareto to unit Pareto ...

kjtail

Estimators of the tail coefficient

Lambda2cov

Transform variogram matrix to covariance of conditional random field

lambdadep

Estimation of the bivariate angular dependence function of Wadsworth a...

likmgp

Likelihood for multivariate peaks over threshold models

maxstable

Transform arguments using max stability

maxstabtest

P-P plot for testing max stability

mvrnorm

Multivariate Normal distribution sampler

NC.diag

Score and likelihood ratio tests fit of equality of shape over multipl...

penultimate

Smith's penultimate approximations

PickandsXU

Extreme U-statistic Pickands estimator

plot.eprof

Plot of (modified) profile likelihood

plot.fr

Plot of tangent exponential model profile likelihood

plot.mev_shape_rbm

Plots for random block maximum estimator

plot.mev_thselect_vmetric

Plots for Varty and al. metric-based threshold selection

plot.mev_thselect_wadsworth

Sequential analysis diagnostic plots for threshold selection

plot.mev_tstab_mrl

Mean residual life parameter stability plot

power.vario

Power variogram model

powerexp.cor

Power exponential correlation model

pp.infomat

Information matrix for the Poisson process likelihood

pp.ll

Log-likelihood of Poisson process of threshold exceedances

pp

Poisson process of extremes.

pp.score

Score vector for the Poisson process of threshold exceedances

qweissman

Weissman's quantile estimator

rdir

Random variate generation for Dirichlet distribution on SdSd

rgparp

Simulation from generalized R-Pareto processes

rho.dk

Second order tail index estimator of Drees and Kaufmann

rho.fagh

Second order tail index estimator of Fraga Alves et al. Estimator of t...

rho.gbw

Second order tail index estimator of Goegebeur et al. (2008)

rho.ghp

Second order tail index estimator of Gomes et al.

rlarg.infomat

Information matrix for the r-largest observations.

rlarg.ll

Log-likelihood of the point process of r-largest observations

rlarg

Distribution of the r-largest observations

rlarg.score

Score of the r-largest observations

rmev

Exact simulations of multivariate extreme value distributions

rmevspec

Random samples from spectral distributions of multivariate extreme val...

rmnorm

Multivariate Normal distribution sampler

rparp

Simulation from R-Pareto processes

rparpcs

Simulation from Pareto processes using composition sampling

rparpcshr

Simulation of generalized Huesler-Reiss Pareto vectors via composition...

rrlarg

Simulate r-largest observations from point process of extremes

schlather.vario

Variogram model of Schlather and Moreva

scoreindep

Ramos and Ledford test of independence

shape.erm

Exponential regression estimator

shape.genjack

Generalized jackknife shape estimator

shape.genquant

Beirlant et al. generalized quantile shape estimator

shape.hill

Hill's estimator of the shape parameter

shape.lthill

Lower-trimmed Hill estimator for the shape parameter

shape.moment

Dekkers and de Haan moment estimator for the shape

shape.osz

Extreme U-statistic Pickands estimator

shape.pickands

Pickand's shape estimator

shape.rbm

Random block maxima shape estimator of Wager

shape.trimhill

Trimmed Hill estimator for the shape parameter

shape.vries

de Vries shape estimator

smith.penult.fn

Smith's third penultimate approximation

smith.penult

Smith's penultimate approximations

spline.corr

Spline correction for Fraser-Reid approximations

spunif

Semi-parametric marginal transformation to uniform

stein_gp_lik

Stein's weighted generalized Pareto likelihood

Stein_weights

Stein's vector of weights

taildep

Coefficient of tail correlation and tail dependence

tem.corr

Bridging the singularity for higher order asymptotics

test.maxstab

P-P plot for testing max stability

test.scoreindep

Ramos and Ledford test of independence

thselect.alrs

Automatic L-moment ratio selection method

thselect.bab

Lower truncated Hill threshold selection

thselect.cv

Threshold selection via coefficient of variation

thselect.expgqt

Generalized quantile threshold selection

thselect.gbw

Kernel-based threshold selection of Goegebeur, Beirlant and de Wet (20...

thselect.ksmd

Mahalanobis distance-based methodology

thselect.mdps

Minimum distance threshold selection procedure

thselect.mrl

Automated mean residual life plots

thselect.ncpgp

Northop and Coleman piecewise generalized Pareto threshold selection d...

thselect.pec

Prediction error C-criterion threshold selection method

thselect.pickands

Pickands' order statistics threshold selection method

thselect.rbm

Threshold selection for the random block maxima method

thselect.samsee

Threshold selection via SAMSEE

thselect.sdinfo

Threshold selection diagnostic of Suveges and Davison

thselect.vmetric

Metric-based threshold selection

thselect.wseq

Wadsworth's sequential analysis threshold selection

tstab.cv

Coefficient of variation threshold stability plot

tstab.egp

Threshold stability plots for extended generalized Pareto models

tstab.gpd

Parameter stability plots for peaks-over-threshold

tstab.hill

Threshold stability plot for Hill estimator

tstab.lthill

Threshold stability plots for left-truncated Hill estimators

tstab.mrl

Mean residual life plot

W.diag

Wadsworth's univariate and bivariate exponential threshold diagnostics

xasym

Coefficient of extremal asymmetry

xdep.asym

Coefficient of extremal asymmetry

xdep.chi

Coefficient of tail correlation

xdep.chibar

Coefficient chi-bar

xdep.eta

Coefficient of tail dependence

xdep.xindex

Extremal index estimators

Various tools for the analysis of univariate, multivariate and functional extremes. Exact simulation from max-stable processes (Dombry, Engelke and Oesting, 2016, <doi:10.1093/biomet/asw008>, R-Pareto processes for various parametric models, including Brown-Resnick (Wadsworth and Tawn, 2014, <doi:10.1093/biomet/ast042>) and Extremal Student (Thibaud and Opitz, 2015, <doi:10.1093/biomet/asv045>). Threshold selection methods, including Wadsworth (2016) <doi:10.1080/00401706.2014.998345>, and Northrop and Coleman (2014) <doi:10.1007/s10687-014-0183-z>. Multivariate extreme diagnostics. Estimation and likelihoods for univariate extremes, e.g., Coles (2001) <doi:10.1007/978-1-4471-3675-0>.

  • Maintainer: Leo Belzile
  • License: GPL-3
  • Last published: 2025-10-22