mev1.17 package

Modelling of Extreme Values

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-score_algebraic

Algebraic score

dot-wecdf

Weighted empirical distribution function

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...

gevr.infomat

Observed information matrix for GEV distribution (return levels)

gevr.ll

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

Lambda2cov

Transform variogram matrix to covariance of conditional random field

pp.ll

Log-likelihood of Poisson process of threshold exceedances

angmeas

Rank-based transformation to angular measure

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

angextrapo

Bivariate angular dependence function for extrapolation based on rays

angmeasdir

Dirichlet mixture smoothing of the angular measure

automrl

Automated mean residual life plots

chibar

Parametric estimates of chibarchi bar

clikmgp

Censored likelihood for multivariate peaks over threshold models

dot-rlogspec

Generates from QiQi, the spectral measure of the logistic model

confint.eprof

Confidence intervals for profile likelihood objects

cvselect

Threshold selection via coefficient of variation

distg

Distance matrix with geometric anisotropy

dot-C1

Contrast matrix

dot-exp_info_algebraic

Algebraic calculation of the expected information

dot-fit.gpd.grimshaw

GP fitting function of Grimshaw (1993)

dot-fit.gpd.rob

Robust threshold selection of Dupuis

dot-Joint_MLE_NHPP

Joint maximum likelihood for the non-homogeneous Poisson Process

dot-mvasym.check

Internal function

dot-mvrnorm_arma

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

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-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-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 ...

egp-function

Extended generalised Pareto families of Papastathopoulos and Tawn (fun...

egp.fit

Fit of extended GP models and parameter stability plots

egp.fitrange

Deprecated function for parameter stability plots

egp

Extended generalised Pareto families

egp2.fit

Fit an extended generalized Pareto distribution of Naveau et al.

emplik

Self-concordant empirical likelihood for a vector mean

fit.extgp

Fit an extended generalized Pareto distribution of Naveau et al.

expme

Exponent measure for multivariate generalized Pareto distributions

ext.index

Extremal index estimators based on interexceedance time and gap of exc...

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.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.rlarg

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

gev.abias

Asymptotic bias of block maxima for fixed sample sizes

gev.bcor

Bias correction for GEV distribution

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

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

gpde.temstat

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

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.mle

Generalized Pareto maximum likelihood estimates for various quantities...

gpd.pll

Profile log-likelihood for the generalized Pareto distribution

gpdr.ll

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

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)

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

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

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

lambdadep

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

likmgp

Likelihood for multivariate peaks over threshold models

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...

PickandsXU

Extreme U-statistic Pickands estimator

plot.eprof

Plot of (modified) profile likelihood

plot.fr

Plot of tangent exponential model profile likelihood

power.vario

Power variogram model

powerexp.cor

Power exponential correlation model

pp.infomat

Information matrix for the Poisson process likelihood

pp

Poisson process of extremes.

pp.score

Score vector for the Poisson process of threshold exceedances

rdir

Random variate generation for Dirichlet distribution on SdSd

rgparp

Simulation from generalized R-Pareto processes

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...

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

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

taildep

Coefficient of tail correlation and tail dependence

tem.corr

Bridging the singularity for higher order asymptotics

tstab.gpd

Parameter stability plots for peaks-over-threshold

vmetric.diag

Metric-based threshold selection

W.diag

Wadsworth's univariate and bivariate exponential threshold diagnostics

xasym

Coefficient of extremal asymmetry

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: 2024-07-09