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Limit laws for multidimensional extremes

Author

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  • Barme-Delcroix, Marie-Francoise
  • Gather, Ursula

Abstract

A definition of the ordering of a multivariate sample--based on the isobar surfaces--is used in order to obtain limit laws for the extreme values of a multidimensional sample.

Suggested Citation

  • Barme-Delcroix, Marie-Francoise & Gather, Ursula, 2007. "Limit laws for multidimensional extremes," Statistics & Probability Letters, Elsevier, vol. 77(18), pages 1750-1755, December.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:18:p:1750-1755
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    References listed on IDEAS

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    1. Abdous, B. & Theodorescu, R., 1992. "Note on the spatial quantile of a random vector," Statistics & Probability Letters, Elsevier, vol. 13(4), pages 333-336, March.
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    3. Falk, Michael & Reiss, Rolf-Dieter, 2005. "On Pickands coordinates in arbitrary dimensions," Journal of Multivariate Analysis, Elsevier, vol. 92(2), pages 426-453, February.
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    5. Robert Serfling, 2002. "Quantile functions for multivariate analysis: approaches and applications," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 56(2), pages 214-232, May.
    6. Einmahl, J. H.J. & Mason, D.M., 1992. "Generalized quantile processes," Other publications TiSEM b2a76bac-045d-457f-869f-d, Tilburg University, School of Economics and Management.
    7. Dehaan, L. & Huang, X., 1995. "Large Quantile Estimation in a Multivariate Setting," Journal of Multivariate Analysis, Elsevier, vol. 53(2), pages 247-263, May.
    8. Maller, R.A., 1990. "Defining extremes and trimming by minimum covering sets," Stochastic Processes and their Applications, Elsevier, vol. 35(1), pages 169-180, June.
    9. Janet E. Heffernan & Jonathan A. Tawn, 2004. "A conditional approach for multivariate extreme values (with discussion)," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 66(3), pages 497-546, August.
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    Cited by:

    1. Kristýna Ivanková, 2012. "A Relative Efficiency Measure Based on Stock Market Index Data," Working Papers IES 2012/13, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Jun 2012.
    2. Kristýna Ivanková, 2010. "Isobars and the Efficient Market Hypothesis," Working Papers IES 2010/21, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Sep 2010.

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