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A general class of estimators of the extreme value index
13 references·11 citing·30 second hop
A general class of estimators of the extreme value index (1998)A general class of estimators of the extr…On Smooth Statistical Tail Functionals (1998)On Smooth Statistical Tail Fu…Refined Pickands estimators of the extreme value index (1995)Refined Pickands estimators o…Optimal Choice of Sample Fraction in Extreme-Value Estimation (1993)Optimal Choice of Sample Frac…On the estimation of high quantiles (1993)On the estimation of high qua…Optimal choice of sample fraction in extreme-value estimation (1991)Optimal choice of sample frac…The Asymptotic Theory of Extreme Order Statistics (1990)The Asymptotic Theory of Extr…A Moment Estimator for the Index of an Extreme-Value Distribution (1989)A Moment Estimator for the In…Estimating Tails of Probability Distributions (1987)Estimating Tails of Probabili…On Asymptotic Normality of Hill's Estimator for the Exponent of Regular Variation (1985)On Asymptotic Normality of Hi…Kernel Estimates of the Tail Index of a Distribution (1985)Kernel Estimates of the Tail …Statistical Extremes and Applications (1984)Statistical Extremes and Appl…Slow Variation and Characterization of Domains of Attraction (1984)Slow Variation and Characteri…On Some Simple Estimates of an Exponent of Regular Variation (1982)On Some Simple Estimates of a…Improving Second Order Reduced Bias Extreme Value Index Estimation (2022)Improving Second Order Reduce…Identifying groups of variables with the potential of being large simultaneously (2019)Identifying groups of variabl…A Review of More than One Hundred Pareto-Tail Index Estimators (2019)A Review of More than One Hun…Adaptive estimation of heavy right tails: resampling-based methods in action (2011)Adaptive estimation of heavy …Second-order refined peaks-over-threshold modelling for heavy-tailed distributions (2009)Second-order refined peaks-ov…Reduced-Bias Tail Index Estimators Under a Third-Order Framework (2009)Reduced-Bias Tail Index Estim…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…Bias reduction of a tail index estimator through an external estimation of the second-order parameter (2004)Bias reduction of a tail inde…Tail Empirical Processes Under Mixing Conditions (2002)Tail Empirical Processes Unde…Optimal rates of convergence for estimates of the extreme value index (1998)Optimal rates of convergence …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)The variation of certain speculative prices (1997)Selecting the optimal sample fraction in univariate extreme value estimation (1998)Estimating a tail exponent by modelling departure from a Pareto distribution (1999)Tail Index Estimation and an Exponential Regression Model (1999)Testing the covariance stationarity of heavy-tailed time series: An overview of the theory with applications to several financial datasets (1994)Using a Bootstrap Method to Choose the Sample Fraction in Tail Index Estimation (2001)Rank − 1 / 2: A Simple Way to Improve the OLS Estimation of Tail Exponents (2009)Almost sure convergence of the Hill estimator (1988)Bivariate Threshold Methods for Extremes (1992)On optimising the estimation of high quantiles of a probability distribution (2003)On the Frequency of Large Stock Returns: Putting Booms and Busts into Perspective (1989)Extreme value theory and Value-at-Risk: Relative performance in emerging markets (2004)Value-at-Risk Prediction: A Comparison of Alternative Strategies (2005)Asymptotically unbiased estimators for the extreme-value index (1998)Alternatives to a Semi-Parametric Estimator of Parameters of Rare Events—The Jackknife Methodology* (2000)Generalizations of the Hill estimator – asymptotic versus finite sample behaviour (2001)Heavy tail modeling and teletraffic data: special invited paper (1997)A Conditional Approach for Multivariate Extreme Values (with Discussion) (2004)Max Domains of Attraction of Univariate and Multivariate p -Max Stable Laws (1993)A simple generalisation of the Hill estimator (2012)A survey of rare event simulation methods for static input–output models (2014)Best Attainable Rates of Convergence for Estimators of the Stable Tail Dependence Function (1998)A Bootstrap-based Method to Achieve Optimality in Estimating the Extreme-value Index (1999)Extreme Correlation of International Equity Markets (2001)Correlation and Dependence in Risk Management: Properties and Pitfalls (2002)MODELLING ASYMMETRIC EXCHANGE RATE DEPENDENCE* (2006)
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References

  • 1990The Asymptotic Theory of Extreme Order Statistics1,830 cited
  • 1989A Moment Estimator for the Index of an Extreme-Value Distribution697 cited
  • 1987Estimating Tails of Probability Distributions627 cited
  • 1982On Some Simple Estimates of an Exponent of Regular Variation564 cited
  • 1985Kernel Estimates of the Tail Index of a Distribution283 cited
  • 1984Statistical Extremes and Applications223 cited
  • 1985On Asymptotic Normality of Hill's Estimator for the Exponent of Regular Variation214 cited
  • 1998On Smooth Statistical Tail Functionals145 cited
  • 1993Optimal Choice of Sample Fraction in Extreme-Value Estimation104 cited
  • 1984Slow Variation and Characterization of Domains of Attraction90 cited
  • 1993On the estimation of high quantiles85 cited
  • 1995Refined Pickands estimators of the extreme value index81 cited
  • 1991Optimal choice of sample fraction in extreme-value estimation79 cited

Cited by

  • 2022Improving Second Order Reduced Bias Extreme Value Index Estimation60 cited
  • 2009Reduced-Bias Tail Index Estimators Under a Third-Order Framework58 cited

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2008
Statistics of extremes for IID data and breakthroughs in the estimation of the extreme value index: Laurens de Haan leading contributions
57 cited
  • 1998Optimal rates of convergence for estimates of the extreme value index50 cited
  • 2011Adaptive estimation of heavy right tails: resampling-based methods in action44 cited
  • 2009Second-order refined peaks-over-threshold modelling for heavy-tailed distributions43 cited
  • 2007Improved reduced-bias tail index and quantile estimators41 cited
  • 2002Tail Empirical Processes Under Mixing Conditions40 cited
  • 2019A Review of More than One Hundred Pareto-Tail Index Estimators39 cited
  • 2004Bias reduction of a tail index estimator through an external estimation of the second-order parameter37 cited
  • 2019Identifying groups of variables with the potential of being large simultaneously27 cited