Estimation of extreme risk regions under multivariate regular variation
From MaRDI portal
Publication:638815
DOI10.1214/11-AOS891zbMath1221.62075arXiv1211.5239OpenAlexW2137777209MaRDI QIDQ638815
John H. J. Einmahl, Juan-Juan Cai, Laurens De Haan
Publication date: 14 September 2011
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.5239
Density estimation (62G07) Applications of statistics to actuarial sciences and financial mathematics (62P05) Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) Statistics of extreme values; tail inference (62G32)
Related Items
Estimating extreme bivariate quantile regions ⋮ Cube root weak convergence of empirical estimators of a density level set ⋮ On the estimation of extreme directional multivariate quantiles ⋮ Bridging centrality and extremity: refining empirical data depth using extreme value statistics ⋮ Multivariate Hill Estimators ⋮ Estimation of multivariate tail quantities ⋮ Extreme geometric quantiles in a multivariate regular variation framework ⋮ Testing for central symmetry ⋮ Living on the Multidimensional Edge: Seeking Hidden Risks Using Regular Variation ⋮ Statistical Inference for Max-Stable Processes by Conditioning on Extreme Events ⋮ Estimation and uncertainty quantification for extreme quantile regions ⋮ Extreme value theory for anomaly detection -- the GPD classifier ⋮ A nonparametric method for producing isolines of bivariate exceedance probabilities ⋮ Detecting influential data points for the Hill estimator in Pareto-type distributions ⋮ Estimating failure probabilities
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Kernel estimators of density function of directional data
- Kernel density estimation with spherical data
- On regular variation of probability densities
- Optimal rates for plug-in estimators of density level sets
- Probability inequalities for empirical processes and a law of the iterated logarithm
- A moment estimator for the index of an extreme-value distribution
- Estimating tails of probability distributions
- A simple general approach to inference about the tail of a distribution
- On nonparametric estimation of density level sets
- Measuring mass concentrations and estimating density contour clusters -- An excess mass approach
- On the regular variation of elliptical random vectors
- Excess Mass Estimates and Tests for Multimodality
- Thresholding Events of Extreme in Simultaneous Monitoring of Multiple Risks
- Regularly varying functions
- Using a bootstrap method to choose the sample fraction in tail index estimation
- Convergence rates in nonparametric estimation of level sets