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Limit results for ordered uniform spacings

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Abstract

Let Δ k:n  = X k,n  − X k-1,n (k = 1, 2, . . . , n + 1) be the spacings based on uniform order statistics, provided X 0,n  = 0 and X n+1,n  = 1. Obtained from uniform spacings, ordered uniform spacings 0 = Δ0,n  < Δ1,n  < . . . < Δ n+1,n , are discussed in the present paper. Distributional and limit results for them are in the focus of our attention.

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Authors and Affiliations

  1. Department of Mathematics, Izmir University of Economics, 35330, Balcova, Izmir, Turkey

    Ismihan Bairamov

  2. Faculté des Sciences et Techniques, Université du Havre, B. P. 540, 76058, Le Havre Cedex, France

    Alexandre Berred

  3. Department of Mathematics, Kaliningrad State Technical University, Sovietsky Prospect 1, Kaliningrad, 236000, Russia

    Alexei Stepanov

Authors
  1. Ismihan Bairamov
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  2. Alexandre Berred
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  3. Alexei Stepanov
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Correspondence to Alexei Stepanov.

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Bairamov, I., Berred, A. & Stepanov, A. Limit results for ordered uniform spacings. Stat Papers 51, 227–240 (2010). https://doi.org/10.1007/s00362-008-0134-3

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  • DOI: https://doi.org/10.1007/s00362-008-0134-3

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