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Strong Laws for the k-th Order Statistic when k ≤ c log2n (II)

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Extreme Value Theory

Part of the book series: Lecture Notes in Statistics ((LNS,volume 51))

Abstract

We give several bounds and characterizations for the lower almost sure classes of Uk,n, where k=kn denotes a nondecreasing integer sequence such that 1 ≤ kn = 0(log2n) as n → ∞, and where U1,n ≤… ≤Un,n denote the order statistics of the first n observations from a sequence of independent and uniformly distributed random variables on (0,1).

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Author information

Authors and Affiliations

  1. Université Paris VI, France

    Paul Deheuvels

Authors
  1. Paul Deheuvels
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Editor information

Editors and Affiliations

  1. Institut für mathematische Statistik, Universität Bern, Sidlerstrasse 5, 3012, Bern, Switzerland

    Jürg Hüsler

  2. Universität Gesamthochschule Siegen, Hölderlinstr. 3, 5900, Siegen, Federal Republic of Germany

    Rolf-Dieter Reiss

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© 1989 Springer-Verlag Berlin Heidelberg

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Deheuvels, P. (1989). Strong Laws for the k-th Order Statistic when k ≤ c log2n (II). In: Hüsler, J., Reiss, RD. (eds) Extreme Value Theory. Lecture Notes in Statistics, vol 51. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3634-4_3

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  • DOI: https://doi.org/10.1007/978-1-4612-3634-4_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-96954-1

  • Online ISBN: 978-1-4612-3634-4

  • eBook Packages: Springer Book Archive

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