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Characterizations of families of distributions, which include the logistic one, by properties of order statistics

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The logistic distribution or, in general, a family of distributions including it are characterized through the assumption on order statistics of the original random variables and the exponential random variables.

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References

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Authors and Affiliations

  1. Université du Havre, Le Havre, France

    A. Berred

  2. St. Petersburg State University, St. Petersburg, Russia

    V. B. Nevzorov

Authors
  1. A. Berred
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  2. V. B. Nevzorov
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Correspondence to A. Berred.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 396, 2011, pp. 67−72.

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Berred, A., Nevzorov, V.B. Characterizations of families of distributions, which include the logistic one, by properties of order statistics. J Math Sci 188, 673–676 (2013). https://doi.org/10.1007/s10958-013-1156-5

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  • DOI: https://doi.org/10.1007/s10958-013-1156-5

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