Alternatives to a semi-parametric estimator of parameters of rare events -- the jackknife methodology
From MaRDI portal
Publication:5954055
DOI10.1023/A:1011470010228zbMath0979.62038OpenAlexW140872396MaRDI QIDQ5954055
M. Manuela Neves, M. Ivette Gomes, M. João Martins
Publication date: 30 January 2002
Published in: Extremes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1011470010228
asymptotic biasasymptotic efficiencyasymptotic mean square errorHill estimatorgeneralized jackknifeheavy-tail index estimation
Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Statistics of extreme values; tail inference (62G32) Bootstrap, jackknife and other resampling methods (62F40)
Related Items
A class of asymptotically unbiased semi-parametric estimators of the tail index. ⋮ On the estimation of the functional Weibull tail-coefficient ⋮ Threshold selection in univariate extreme value analysis ⋮ Bias reduction and explicit semi-parametric estimation of the tail index ⋮ A new partially reduced-bias mean-of-order \(p\) class of extreme value index estimators ⋮ Bias correction in extreme value statistics with index around zero ⋮ A class of semiparametric tail index estimators and its applications ⋮ GARCH-UGH: a bias-reduced approach for dynamic extreme Value-at-Risk estimation in financial time series ⋮ Averages of Hill estimators ⋮ Bias reduction in risk modelling: semi-parametric quantile estimation ⋮ On robust tail index estimation ⋮ Semi-parametric second-order reduced-bias high quantile estimation ⋮ Extreme Value Theory and Statistics of Univariate Extremes: A Review ⋮ Reduced bias estimation of the shape parameter of the log-logistic distribution ⋮ Comparison of the several parameterized estimators for the positive extreme value index ⋮ An interview with Ivette Gomes ⋮ Improved estimators of tail index and extreme quantiles under dependence serials ⋮ Priority statement and some properties of t-lgHill estimator ⋮ Adaptive estimation of heavy right tails: resampling-based methods in action ⋮ Functional kernel estimators of large conditional quantiles ⋮ Censoring estimators of a positive tail index ⋮ Semi-parametric probability-weighted moments estimation revisited ⋮ Asymptotic normality of location invariant heavy tail index estimator ⋮ An estimator of heavy tail index through the generalized jackknife methodology ⋮ A review of more than one hundred Pareto-tail index estimators ⋮ Bias reduction of a tail index estimator through an external estimation of the second-order parameter ⋮ A moving window approach for nonparametric estimation of the conditional tail index ⋮ Subsampling extremes: from block maxima to smooth tail estimation ⋮ Improved reduced-bias tail index and quantile estimators ⋮ Estimation of parameters in heavy-tailed distribution when its second order tail parameter is known ⋮ A comparative study of the adaptive choice of thresholds in extreme hydrologic events ⋮ Kernel estimators of extreme level curves ⋮ Condition for convergence of maxima of random triangular arrays ⋮ A simple second-order reduced bias’ tail index estimator ⋮ Generalized Jackknife-Based Estimators for Univariate Extreme-Value Modeling ⋮ Reduced‐bias tail index estimation and the jackknife methodology ⋮ How Can Non-invariant Statistics Work in Our Benefit in the Semi-parametric Estimation of Parameters of Rare Events ⋮ A heuristic adaptive choice of the threshold for bias-corrected Hill estimators ⋮ Reduced-Bias Tail Index Estimators Under a Third-Order Framework ⋮ Tail Index Estimation for Heavy-Tailed Models: Accommodation of Bias in Weighted Log-Excesses ⋮ Second-order refined peaks-over-threshold modelling for heavy-tailed distributions ⋮ Subsampling techniques and the jackknife methodology in the estimation of the extremal index ⋮ Adaptive Reduced-Bias Tail Index and VaR Estimation via the Bootstrap Methodology ⋮ Adaptive PORT–MVRB estimation: an empirical comparison of two heuristic algorithms