graphicalExtremes0.3.3 package

Statistical Methodology for Graphical Extreme Value Models

censor

Censor dataset

check_graph

Check input graph

check_partial_matrix_and_graph

Check input graph and partial matrix

check_split_by_sep

Identify pairs of vertices that are split by a separator

checkGamma

HR parameter matrix checks

chi2Gamma

Transformation between χ\chi and Γ\Gamma

complete_Gamma_decomposable

Completion of decomposable Gamma matrices

complete_Gamma_general_demo

DEMO-VERSION: Completion of non-decomposable Gamma matrices

complete_Gamma_general_split

Non-decomposable completion of variogram matrices

complete_Gamma_general

Non-decomposable completion of variogram matrices

complete_Gamma_one_step

Completion of two-clique decomposable Gamma matrices

complete_Gamma

Completion of Gamma matrices

computeLimits

Compute plot limits

data2mpareto

Data standardization to multivariate Pareto scale

eglatent

Learning extremal graph structure with latent variables

eglearn

Learning extremal graph structure

emp_chi_multdim

Empirical estimation of extremal correlation χ\chi

emp_chi

Empirical estimation of extremal correlation matrix χ\chi

emp_vario

Estimation of the variogram matrix Γ\Gamma of a Huesler-Reiss distrib...

emst

Fitting extremal minimum spanning tree

emtp2

Performs Gaussian likelihood optimization under Laplacian matrix const...

ensure_matrix_symmetry_and_truncate_zeros

Ensure numerical matrix symmetry/zero values

fast_diag

Fast computation of diag(y %% M %% t(y))

fillFixedParams

Helper function to combine par with fixed params (in init)

findVsep

Find a separator set for two vertices

fit_graph_to_Theta

Experimental: Fit graph using empirical Theta matrix

fitInInterval

Fit value(s) in interval

flightCountMatrixToConnectionList

Convert flight counts to connection list

fmpareto_graph_HR

Parameter fitting for Huesler-Reiss graphical models

fmpareto_HR_helpers

HR Parameter fitting - Helper functions

fmpareto_HR_MLE

Parameter fitting for multivariate Huesler-Reiss Pareto distribution

Gamma2chi_3D

Compute theoretical χ\chi in 3D

generate_random_Gamma

Generate a random Gamma matrix

generate_random_graphical_Gamma

Generate a random Gamma matrix for a given graph

generate_random_integer_Gamma

Generate a random Gamma matrix containing only integers

generate_random_model

Generate random Huesler-Reiss Models

generate_random_spd_matrix

Generate a random symmetric positive definite matrix

generateRandomGraph

Generate random graphs

get_alert_function

Get alert function

get_cliques_and_separators_OLD

Get Cliques and Separators of a graph

get_cliques_and_separators

Get Cliques and Separators of a graph

get_mc_cores

Number of cores to be used in parallel computations

get_tol

Tolerances to be used in computations

getDanubeFlowGraph

Get Danube flow graph

getFlightDelayData

Get filtered flight delays

getFlightGraph

Get flight graph

getPackageData

Get package data

getSubMatrixForSubgraph

Get the submatrix corresponding to a subgraph

graphicalExtremes

graphicalExtremes: Statistical methodology for graphical extreme value...

graphs_equal

Graph equality

logdV_HR

Compute the exponent measure density of HR distribution

logdVK_HR

Compute censored exponent measure

logLH_HR

Full censored log-likelihood of HR model

loglik_HR

Compute Huesler-Reiss log-likelihood, AIC, and BIC

make_numeric_indices

Convert indices to numerical indices

make_sep_list

Create a list of separators

matrix2graph

Convert matrix to graph

mparetomargins

Marginalize multivariate Pareto dataset

order_cliques

Order Cliques

par2Matrix

Create Gamma or Theta from vector

parameterMatrixConversion

Conversion between Huesler-Reiss parameter matrices

parToMatricesFactory

Factory: parToMatrices

plotDanube

Plot Danube River Flow Data

plotFlights

Plot flight data

rmpareto_tree

Sampling of a multivariate Pareto distribution on a tree

rmpareto

Sampling of a multivariate Pareto distribution

rmstable_tree

Sampling of a multivariate max-stable distribution on a tree

rmstable

Sampling of a multivariate max-stable distribution

simu_px_dirichlet

Simulate Dirichlet extremal functions

simu_px_HR

Simulate HR extremal functions

simu_px_logistic

Simulate logistic extremal functions

simu_px_neglogistic

Simulate negative logistic extremal functions

simu_px_tree_dirichlet

Simulate Dirichlet extremal functions on a tree

simu_px_tree_HR

Simulate HR extremal functions on a tree

simu_px_tree_logistic

Simulate logistic extremal functions on a tree

split_graph

Split graph into invariant subgraphs

unif

Uniform margin

V_HR

Compute exponent measure

Zmatrix

Computes the Z-matrix

Statistical methodology for sparse multivariate extreme value models. Methods are provided for exact simulation and statistical inference for multivariate Pareto distributions on graphical structures as described in the paper 'Graphical Models for Extremes' by Engelke and Hitz (2020) <doi:10.1111/rssb.12355>.

  • Maintainer: Sebastian Engelke
  • License: GPL-3
  • Last published: 2024-11-14