A bootstrap-based method to achieve optimality in estimating the extreme-value index
From MaRDI portal
Publication:5943416
DOI10.1023/A:1009900215680zbMath0972.62014OpenAlexW3122729208MaRDI QIDQ5943416
No author found.
Publication date: 23 September 2001
Published in: Extremes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1009900215680
Asymptotic properties of parametric estimators (62F12) Applications of statistics to environmental and related topics (62P12) Statistics of extreme values; tail inference (62G32) Bootstrap, jackknife and other resampling methods (62F40)
Related Items (54)
Interval estimation of value-at-risk based on GARCH models with heavy-tailed innovations ⋮ On maximum likelihood estimation of the extreme value index. ⋮ Estimation of the Bias of the Maximum Likelihood Estimators in an Extreme Value Context ⋮ Asymptotic distribution of certain statistics relevant to the fitting of max-semistable models ⋮ Tail asymptotics of generalized deflated risks with insurance applications ⋮ Kernel regression with Weibull-type tails ⋮ Estimation of the extreme-value index and generalized quantile plots ⋮ Semi-parametric approach to the Hasofer-Wang and Greenwood statistics in extremes ⋮ On the estimation of a changepoint in a tail index ⋮ Asymptotically best linear unbiased tail estimators under a second-order regular variation condition ⋮ Maximum likelihood estimation of extreme value index for irregular cases ⋮ Choice of smoothing parameter in multivariate copula-based tail coefficients ⋮ On the estimation of extreme directional multivariate quantiles ⋮ A location-invariant non-positive moment-type estimator of the extreme value index ⋮ Haezendonck-Goovaerts risk measure with a heavy tailed loss ⋮ Averages of Hill estimators ⋮ Extreme Value Theory and Statistics of Univariate Extremes: A Review ⋮ Mixed moment estimator and location invariant alternatives ⋮ Tail dependence functions of two classes of bivariate skew distributions ⋮ Tail index estimation, concentration and adaptivity ⋮ Location invariant Weiss-Hill estimator ⋮ Adaptive estimation of heavy right tails: resampling-based methods in action ⋮ Subsampling the distribution of diverging statistics with applications to finance ⋮ Asymptotically unbiased estimators for the extreme-value index ⋮ Semi-parametric probability-weighted moments estimation revisited ⋮ Semi-parametric estimation for heavy tailed distributions ⋮ Kernel-type estimators for the extreme value index ⋮ Tail asymptotic expansions for \(L\)-statistics ⋮ A new class of estimators of a ``scale second order parameter ⋮ Bias reduction of a tail index estimator through an external estimation of the second-order parameter ⋮ Reiss and Thomas' automatic selection of the number of extremes ⋮ An improved method for forecasting spare parts demand using extreme value theory ⋮ A comparative study of the adaptive choice of thresholds in extreme hydrologic events ⋮ Generalizations of the Hill estimator -- asymptotic versus finite sample behaviour ⋮ Empirical likelihood confidence intervals for the endpoint of a distribution function ⋮ Asymptotic comparison of the mixed moment and classical extreme value index estimators ⋮ Kernel estimators for the second order parameter in extreme value statistics ⋮ The contribution of the maximum to the sum of excesses for testing max-domains of attraction ⋮ Weibull tail-distributions revisited: A new look at some tail estimators ⋮ Asymptotic Normality of Extreme Quantile Estimators Based on the Peaks-Over-Threshold Approach ⋮ Weiss-Hill estimator ⋮ Threshold selection and trimming in extremes ⋮ Second-order tail asymptotics of deflated risks ⋮ Statistics of extremes under random censoring ⋮ Estimation of the extreme value index and extreme quantiles under random censoring ⋮ Statistics of extremes for IID data and breakthroughs in the estimation of the extreme value index: Laurens de Haan leading contributions ⋮ Bootstrap and empirical likelihood methods in extremes ⋮ On optimising the estimation of high quantiles of a probability distribution ⋮ Abelian and Tauberian Theorems on the Bias of the Hill Estimator ⋮ Adaptive Reduced-Bias Tail Index and VaR Estimation via the Bootstrap Methodology ⋮ A horse race between the block maxima method and the peak-over-threshold approach ⋮ How to make a Hill plot. ⋮ Lehmer's mean-of-order- p extreme value index estimation: a simulation study and applications ⋮ Optimal asymptotic estimation of small exceedance probabilities
This page was built for publication: A bootstrap-based method to achieve optimality in estimating the extreme-value index