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Weighted least squares estimation of the extreme value index

Author

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  • Hüsler, Jürg
  • Li, Deyuan
  • Müller, Samuel

Abstract

In this paper we present the weighted least squares estimator for the extreme value index, and prove its consistency and asymptotic normality.

Suggested Citation

  • Hüsler, Jürg & Li, Deyuan & Müller, Samuel, 2006. "Weighted least squares estimation of the extreme value index," Statistics & Probability Letters, Elsevier, vol. 76(9), pages 920-930, May.
    • Handle: RePEc:eee:stapro:v:76:y:2006:i:9:p:920-930
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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.
    2. Einmahl, J. H. & Mason, D. M., 1988. "Strong limit theorems for weighted quantile processes," Other publications TiSEM 4bbe972d-b641-42a4-b2b8-0, Tilburg University, School of Economics and Management.
    3. L. De Haan & L. Peng, 1998. "Comparison of tail index estimators," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 52(1), pages 60-70, March.
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    Cited by:

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    2. Benchaira, Souad & Meraghni, Djamel & Necir, Abdelhakim, 2016. "Kernel estimation of the tail index of a right-truncated Pareto-type distribution," Statistics & Probability Letters, Elsevier, vol. 119(C), pages 186-193.

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