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On distributions of order statistics and their applications to uniform distribution

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Abstract

Some results on the relationships between distributions of order statistics and of spacings are presented. These results are then used to establish a characterization of the uniform distribution extending some existing results in this direction.

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References

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WI, 53201, USA

    Hans Volkmer

  2. Department of Mathematics, Statistics and Computer Science, Marquette University, P.O. Box 1881, Milwaukee, WI, 53201-1881, USA

    G. G. Hamedani

Authors
  1. Hans Volkmer
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  2. G. G. Hamedani
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Correspondence to G. G. Hamedani.

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Volkmer, H., Hamedani, G.G. On distributions of order statistics and their applications to uniform distribution. Metrika 74, 287–295 (2011). https://doi.org/10.1007/s00184-010-0303-y

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  • DOI: https://doi.org/10.1007/s00184-010-0303-y

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