Optimal rates of convergence for estimates of the extreme value index

From MaRDI portal
Publication:1807081

DOI10.1214/aos/1030563992zbMath0934.62047OpenAlexW1974480047MaRDI QIDQ1807081

Holger Drees

Publication date: 9 November 1999

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1030563992




Related Items

Truncated estimation of ratio statistics with application to heavy tail distributionsJoint inference on extreme expectiles for multivariate heavy-tailed distributionsEstimation of limiting conditional distributions for the heavy tailed long memory stochastic volatility processOn robust tail index estimation for linear long-memory processesThe tail empirical process for long memory stochastic volatility sequencesOn posterior consistency of tail index for Bayesian kernel mixture modelsChange-Point Tests for the Tail Parameter of Long Memory Stochastic Volatility Time SeriesOptimal rates of convergence in the Weibull model based on kernel-type estimatorsTail index estimation, concentration and adaptivityIntegral functionals and the bootstrap for the tail empirical processTail index estimation in the presence of long-memory dynamicsOptimal weighted pooling for inference about the tail index and extreme quantilesWeighted empirical processes in the nonparametric inference for Lévy processesEstimation of extreme survival probabilities with cox modelAdaptive confidence intervals for the tail coefficient in a wide second order class of Pareto modelsStatistics of extremes by oracle estimationEstimating the scale parameter of a Lévy-stable distribution via the extreme value approachTail index estimation in small samples. Simulation results for independent and ARCH-type financial return modelsThe tail empirical process of regularly varying functions of geometrically ergodic Markov chainsTail exponent estimation via broadband log density-quantile regressionAbelian and Tauberian Theorems on the Bias of the Hill EstimatorSemiparametric lower bounds for tail index estimation



Cites Work