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The Bootstrap Methodology in Statistics of Extremes—Choice of the Optimal Sample Fraction
9 references·16 citing·34 second hop
The Bootstrap Methodology in Statistics of Extremes—Choice of the Optimal Sample Fraction (2001)The Bootstrap Methodology in Statistics o…Using a Bootstrap Method to Choose the Sample Fraction in Tail Index Estimation (2001)Using a Bootstrap Method to C…How to make a Hill plot (2000)How to make a Hill plotSelecting the optimal sample fraction in univariate extreme value estimation (1998)Selecting the optimal sample …Comparison of tail index estimators (1998)Comparison of tail index esti…Tail Index Estimation, Pareto Quantile Plots Regression Diagnostics (1996)Tail Index Estimation, Pareto…The Asymptotic Theory of Extreme Order Statistics (1990)The Asymptotic Theory of Extr…On Asymptotic Normality of Hill's Estimator for the Exponent of Regular Variation (1985)On Asymptotic Normality of Hi…On Some Simple Estimates of an Exponent of Regular Variation (1982)On Some Simple Estimates of a…Concepts and Methods in Discrete Event Digital Simulation. (1975)Concepts and Methods in Discr…Overview and Open Research Topics in Statistics of Univariate Extremes (2022)Overview and Open Research To…Value at Risk Estimation Using the GARCH-EVT Approach with Optimal Tail Selection (2020)Value at Risk Estimation Usin…Threshold Selection in Extreme Value Analysis (2016)Threshold Selection in Extrem…Early warning systems for currency crises: A multivariate extreme value approach (2013)Early warning systems for cur…A simple generalisation of the Hill estimator (2012)A simple generalisation of th…Adaptive estimation of heavy right tails: resampling-based methods in action (2011)Adaptive estimation of heavy …A sliding blocks estimator for the extremal index (2009)A sliding blocks estimator fo…Statistics of extremes for IID data and breakthroughs in the estimation of the extreme value index: Laurens de Haan leading contributions (2008)Statistics of extremes for II…Improved reduced-bias tail index and quantile estimators (2007)Improved reduced-bias tail in…A simple second-order reduced bias’ tail index estimator (2006)A simple second-order reduced…Extreme behaviour for bivariate elliptical distributions (2005)Extreme behaviour for bivaria…Measuring tail thickness under GARCH and an application to extreme exchange rate changes (2004)Measuring tail thickness unde…A Hill Type Estimator of the Weibull Tail-Coefficient (2004)A Hill Type Estimator of the …Bias reduction and explicit semi-parametric estimation of the tail index (2003)Bias reduction and explicit s…Semi-parametric Estimation of the Second Order Parameter in Statistics of Extremes (2002)Semi-parametric Estimation of…On Exponential Representations of Log-Spacings of Extreme Order Statistics (2002)On Exponential Representation…A Moment Estimator for the Index of an Extreme-Value Distribution (1989)Estimating catastrophic quantile levels for heavy-tailed distributions (2004)Estimation of the extreme-value index and generalized quantile plots (2005)Conditional extremes from heavy-tailed distributions: an application to the estimation of extreme rainfall return levels (2010)Kernel Estimates of the Tail Index of a Distribution (1985)“Asymptotically Unbiased” Estimators of the Tail Index Based on External Estimation of the Second Order Parameter (2002)Diagnostics for Dependence within Time Series Extremes (2003)Extreme Value Theory and Statistics of Univariate Extremes: A Review (2014)Continuous Martingales and Brownian Motion (1991)Estimating the Tails of Loss Severity Distributions Using Extreme Value Theory (1997)Parameter estimation for power-law distributions by maximum likelihood methods (2007)Econophysics review: I. Empirical facts (2011)Statistical Analysis of Extreme Values (2007)Are output growth‐rate distributions fat‐tailed? some evidence from OECD countries (2008)Power-law distributions in binned empirical data (2014)Laws of Large Numbers for Sums of Extreme Values (1982)Smoothing the Hill Estimator (1997)Tail index estimation for dependent data (1998)Rank-1/2: A Simple Way to Improve the OLS Estimation of Tail Exponents (2006)On the Frequency of Large Stock Returns: Putting Booms and Busts into Perspective (1991)ARCH modeling in finance (1992)Value-at-Risk and Extreme Returns (2000)Value-at-risk versus expected shortfall: A practical perspective (2004)An Application of Extreme Value Theory for Measuring Financial Risk (2006)Testing the covariance stationarity of heavy-tailed time series: An overview of the theory with applications to several financial datasets (1994)Rank − 1 / 2: A Simple Way to Improve the OLS Estimation of Tail Exponents (2009)Tail Index Estimation for Heavy-Tailed Models: Accommodation of Bias in Weighted Log-Excesses (2007)On the tails of extreme event distributions in hydrology (2008)Detecting Initialization Bias in Simulation Output (1982)Overlapping batch means: something for nothing? (1984)Steady-state simulation of queueing processes: survey of problems and solutions (1990)Extreme Correlation of International Equity Markets (2001)Correlation and Dependence in Risk Management: Properties and Pitfalls (2002)MODELLING ASYMMETRIC EXCHANGE RATE DEPENDENCE* (2006)
this work references cited by second hop

References

  • 1990The Asymptotic Theory of Extreme Order Statistics1,830 cited
  • 1982On Some Simple Estimates of an Exponent of Regular Variation564 cited
  • 2001Using a Bootstrap Method to Choose the Sample Fraction in Tail Index Estimation452 cited
  • 1975Concepts and Methods in Discrete Event Digital Simulation.343 cited
  • 1998Selecting the optimal sample fraction in univariate extreme value estimation256 cited
  • 2000How to make a Hill plot238 cited
  • 1998Comparison of tail index estimators226 cited
  • 1996Tail Index Estimation, Pareto Quantile Plots Regression Diagnostics223 cited
  • 1985On Asymptotic Normality of Hill's Estimator for the Exponent of Regular Variation214 cited

Cited by

  • 2002On Exponential Representations of Log-Spacings of Extreme Order Statistics91 cited
  • 2002Semi-parametric Estimation of the Second Order Parameter in Statistics of Extremes79 cited
  • 2012A simple generalisation of the Hill estimator69 cited
  • 2022Overview and Open Research Topics in Statistics of Univariate Extremes63 cited
  • 2008Statistics of extremes for IID data and breakthroughs in the estimation of the extreme value index: Laurens de Haan leading contributions57 cited
  • 2013

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Early warning systems for currency crises: A multivariate extreme value approach
55 cited
  • 2005Extreme behaviour for bivariate elliptical distributions53 cited
  • 2009A sliding blocks estimator for the extremal index52 cited
  • 2006A simple second-order reduced bias’ tail index estimator48 cited
  • 2004A Hill Type Estimator of the Weibull Tail-Coefficient48 cited
  • 2003Bias reduction and explicit semi-parametric estimation of the tail index47 cited
  • 2004Measuring tail thickness under GARCH and an application to extreme exchange rate changes46 cited
  • 2011Adaptive estimation of heavy right tails: resampling-based methods in action44 cited
  • 2016Threshold Selection in Extreme Value Analysis41 cited
  • 2007Improved reduced-bias tail index and quantile estimators41 cited
  • 2020Value at Risk Estimation Using the GARCH-EVT Approach with Optimal Tail Selection34 cited