Learn R Programming

tea (version 1.1)

Threshold Estimation Approaches

Description

Different approaches for selecting the threshold in generalized Pareto distributions. Most of them are based on minimizing the AMSE-criterion or at least by reducing the bias of the assumed GPD-model. Others are heuristically motivated by searching for stable sample paths, i.e. a nearly constant region of the tail index estimator with respect to k, which is the number of data in the tail. The third class is motivated by graphical inspection. In addition, a sequential testing procedure for GPD-GoF-tests is also implemented here.

Copy Link

Version

Install

install.packages('tea')

Monthly Downloads

228

Version

1.1

License

GPL-3

Maintainer

Johannes Ossberger

Last Published

April 19th, 2020

Functions in tea (1.1)

DK

A Bias-based procedure for Choosing the Optimal Sample Fraction
althill

Alternative Hill Plot
GH

A Bias-based procedure for Choosing the Optimal Threshold
PS

Sample Path Stability Algorithm
HW

Minimizing the AMSE of the Hill estimator with respect to k
dAMSE

Minimizing the AMSE of the Hill estimator with respect to k
Himp

A Single Bootstrap Procedure for Choosing the Optimal Sample Fraction
mindist

Minimizing the distance between the empirical tail and a theoretical Pareto tail with respect to k.
eye

Automated Approach for Interpreting the Hill-Plot
ggplot

Gerstengarbe Plot
tea-package

Threshold Estimation Approaches
qqestplot

QQ-Estimator-Plot
sumplot

Sum Plot
danish

Danish Fire Insurance Claims
qqgpd

QQ-Plot against the generalized Pareto distribution for given number of exceedances
danielsson

A Double Bootstrap Procedure for Choosing the Optimal Sample Fraction
hall

A Single Bootstrap Procedure for Choosing the Optimal Sample Fraction
gpdFit

Parameter estimation for the Generalized Pareto Distribution (GPD)
gpd

The Generalized Pareto Distribution (GPD)
gomes

A Double Bootstrap Procedure for Choosing the Optimal Sample Fraction
RT

Adaptive choice of the optimal sample fraction in tail index estimation
TH

Sequential Goodness of Fit Testing for the Generalized Pareto Distribution
avhill

Averaged Hill Plot