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Some comments on the estimation of a dependence index in bivariate extreme value statistics

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  • Beirlant, J.
  • Vandewalle, B.

Abstract

The estimation of a dependence index introduced in bivariate extreme value methodology by Ledford and Tawn (Biometrika 83(1) (1996) 169) is discussed. It is argued that estimators with bad bias properties are to be avoided. In this spirit we also suggest a new estimator.

Suggested Citation

  • Beirlant, J. & Vandewalle, B., 2002. "Some comments on the estimation of a dependence index in bivariate extreme value statistics," Statistics & Probability Letters, Elsevier, vol. 60(3), pages 265-278, December.
    • Handle: RePEc:eee:stapro:v:60:y:2002:i:3:p:265-278
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    References listed on IDEAS

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    1. Einmahl, J. H.J. & Dekkers, A. L.M. & de Haan, L., 1989. "A moment estimator for the index of an extreme-value distribution," Other publications TiSEM 81970cb3-5b7a-4cad-9bf6-2, Tilburg University, School of Economics and Management.
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    Cited by:

    1. Christophe Dutang & Yuri Goegebeur & Armelle Guillou, 2016. "Robust and Bias-Corrected Estimation of the Probability of Extreme Failure Sets," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 78(1), pages 52-86, February.
    2. Philipp Hartmann & Stefan Straetmans & Casper de Vries, 2007. "Banking System Stability. A Cross-Atlantic Perspective," NBER Chapters, in: The Risks of Financial Institutions, pages 133-188, National Bureau of Economic Research, Inc.
    3. Goegebeur, Yuri & Guillou, Armelle & Ho, Nguyen Khanh Le & Qin, Jing, 2020. "Robust nonparametric estimation of the conditional tail dependence coefficient," Journal of Multivariate Analysis, Elsevier, vol. 178(C).
    4. Mikael Escobar-Bach & Yuri Goegebeur & Armelle Guillou & Alexandre You, 2017. "Bias-corrected and robust estimation of the bivariate stable tail dependence function," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 26(2), pages 284-307, June.
    5. Christophe Dutang & Yuri Goegebeur & Armelle Guillou, 2016. "Robust and bias-corrected estimation of the probability of extreme failure sets," Post-Print hal-01616187, HAL.

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