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Global sufficiency of extreme order statistics in location models of Weibull type
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  • Published: June 1991

Global sufficiency of extreme order statistics in location models of Weibull type

  • Frank Marohn1 

Probability Theory and Related Fields volume 88, pages 261–268 (1991)Cite this article

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Summary

In Janssen and Reiss (1988) it was shown that in a location model of a Weibull type sample with shape parameter −1<a<1 thek(n) lower extremes are asymptotically local sufficient. In the present paper we show that even global sufficiency holds. Moreover, it turns out that convergence of the given statistical experiments in the deficiency metric does not only hold for compact parameter sets but for the whole real line.

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Author information

Authors and Affiliations

  1. Mathematisch-Geographische Fakultät, Katholische Universität Eichstätt, Ostenstrasse 26-28, W-8078, Eichstätt, Federal Republic of Germany

    Frank Marohn

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  1. Frank Marohn
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Cite this article

Marohn, F. Global sufficiency of extreme order statistics in location models of Weibull type. Probab. Th. Rel. Fields 88, 261–268 (1991). https://doi.org/10.1007/BF01212562

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  • Received: 15 November 1988

  • Revised: 25 September 1990

  • Issue Date: June 1991

  • DOI: https://doi.org/10.1007/BF01212562

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Keywords

  • Stochastic Process
  • Probability Theory
  • Statistical Experiment
  • Order Statistic
  • Shape Parameter
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