Learn R Programming

ExtremeRisks (version 0.0.4-1)

Extreme Risk Measures

Description

A set of procedures for estimating risks related to extreme events via risk measures such as Expectile, Value-at-Risk, etc. is provided. Estimation methods for univariate independent observations and temporal dependent observations are available. The methodology is extended to the case of independent multidimensional observations. The statistical inference is performed through parametric and non-parametric estimators. Inferential procedures such as confidence intervals, confidence regions and hypothesis testing are obtained by exploiting the asymptotic theory. Adapts the methodologies derived in Padoan and Stupfler (2022) , Davison et al. (2023) , Daouia et al. (2018) , Drees (2000) , Drees (2003) , de Haan and Ferreira (2006) , de Haan et al. (2016) .

Copy Link

Version

Install

install.packages('ExtremeRisks')

Monthly Downloads

311

Version

0.0.4-1

License

GPL (>= 2)

Maintainer

Simone Padoan

Last Published

April 27th, 2025

Functions in ExtremeRisks (0.0.4-1)

HypoTesting

Wald-Type Hypothesis Testing
dowjones

Negative log-returns of DOW JONES.
QuantMES

Marginal Expected Shortfall Quantile Based Estimation
MLTailIndex

Maximum Likelihood Tail Index Estimation
MomTailIndex

Moment based Tail Index Estimation
MultiHTailIndex

Multidimensional Hill Tail Index Estimation
HTailIndex

Hill Tail Index Estimation
estExpectiles

High Expectile Estimation
estExtLevel

Extreme Level Estimation
extQuantile

Value-at-Risk (VaR) or Extreme Quantile (EQ) Estimation
predExpectiles

Extreme Expectile Estimation
estMultiExpectiles

Multidimensional High Expectile Estimation
rmdata

Simulation of \(d\)-Dimensional Temporally Independent Observations
expectiles

Expectile Computation
extMultiQuantile

Multidimensional Value-at-Risk (VaR) or Extreme Quantile (EQ) Estimation
rtimeseries

Simulation of One-Dimensional Temporally Dependent Observations
rbtimeseries

Simulation of Two-Dimensional Temporally Dependent Observations
predMultiExpectiles

Multidimensional Extreme Expectile Estimation
sp500

Negative log-returns of S&P 500.
ExpectMES

Marginal Expected Shortfall Expectile Based Estimation
EBTailIndex

Expectile Based Tail Index Estimation