Local robust estimation of the Pickands dependence function
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Publication:1991678
DOI10.1214/17-AOS1640zbMath1408.62095OpenAlexW2460442175MaRDI QIDQ1991678
Mikael Escobar-Bach, Armelle Guillou, Yuri Goegebeur
Publication date: 30 October 2018
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.aos/1536307234
Asymptotic properties of nonparametric inference (62G20) Applications of statistics to environmental and related topics (62P12) Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70) Statistics of extreme values; tail inference (62G32)
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Conditional marginal expected shortfall ⋮ Extreme value estimation of the conditional risk premium in reinsurance ⋮ Bias correction in conditional multivariate extremes ⋮ Robust nonparametric estimation of the conditional tail dependence coefficient ⋮ Robust estimation of the Pickands dependence function under random right censoring ⋮ Reweighted madogram-type estimator of Pickands dependence function ⋮ Asymptotic behavior of an intrinsic rank-based estimator of the Pickands dependence function constructed from B-splines ⋮ Robust estimation of the conditional stable tail dependence function ⋮ Statistical inference on a changing extreme value dependence structure ⋮ Local robust estimation of Pareto-type tails with random right censoring ⋮ Nonparametric estimation of conditional marginal excess moments
Cites Work
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- Semiparametric estimation of conditional copulas
- Nonparametric estimation of multivariate extreme-value copulas
- U-processes: Rates of convergence
- New estimators of the Pickands dependence function and a test for extreme-value dependence
- Gaussian approximation of local empirical processes indexed by functions
- Conditional empirical processes
- On the limiting behavior of the Pickands estimator for bivariate extreme- value distributions
- On the weak convergence of the empirical conditional copula under a simplifying assumption
- Kernel estimators of extreme level curves
- Rates of strong uniform consistency for multivariate kernel density estimators. (Vitesse de convergence uniforme presque sûre pour des estimateurs à noyaux de densités multivariées)
- Weighted uniform consistency of kernel density estimators.
- Weak convergence and empirical processes. With applications to statistics
- Nonparametric estimation of the conditional tail copula
- Approximation Theorems of Mathematical Statistics
- Estimation of a Copula when a Covariate Affects only Marginal Distributions
- Robust and efficient estimation by minimising a density power divergence
- Asymptotic Statistics
- A nonparametric estimation procedure for bivariate extreme value copulas
- Local Estimation of the Conditional Stable Tail Dependence Function
- Empirical processes indexed by estimated functions
- MULTIVARIATE LIMIT THEOREMS IN THE CONTEXT OF LONG‐RANGE DEPENDENCE
- Projection estimators of Pickands dependence functions
- On consistency of kernel density estimators for randomly censored data: Rates holding uniformly over adaptive intervals