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On Asymptotic Normality of Hill's Estimator for the Exponent of Regular Variation
2 references·16 citing·38 second hop
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this work references cited by second hop

References

  • 1982On Some Simple Estimates of an Exponent of Regular Variation564 cited
  • 1982Laws of Large Numbers for Sums of Extreme Values278 cited

Cited by

  • 1997Smoothing the Hill Estimator172 cited
  • 2006Rank-1/2: A Simple Way to Improve the OLS Estimation of Tail Exponents169 cited
  • 1998Tail index estimation for dependent data137 cited
  • 2001The Bootstrap Methodology in Statistics of Extremes—Choice of the Optimal Sample Fraction133 cited
  • 2001A Diagnostic for Selecting the Threshold in Extreme Value Analysis131 cited
  • 2008Extreme US stock market fluctuations in the wake of 9/11122 cited
  • 1996Excess Functions and Estimation of the Extreme-Value Index120 cited
  • 1988Almost sure convergence of the Hill estimator105 cited
  • 1993Optimal Choice of Sample Fraction in Extreme-Value Estimation104 cited
  • 2009Tail Index Regression97 cited
  • 2010ON TAIL INDEX ESTIMATION FOR DEPENDENT, HETEROGENEOUS DATA94 cited
  • 1998On asymptotic normality of the hill estimator76 cited
  • 2013The harmonic moment tail index estimator: asymptotic distribution and robustness72 cited

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1997
Asymptotic behavior of hill's estimator for autoregressive data
71 cited
  • 1997Second-order regular variation, convolution and the central limit theorem69 cited
  • 2004Estimating catastrophic quantile levels for heavy-tailed distributions68 cited