On characterizations of families of distributions, including logistic, by properties of order statistics
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 17, Tome 396 (2011), pp. 67-72

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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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     title = {On characterizations of families of distributions, including logistic, by properties of order statistics},
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A. Berred; V. B. Nevzorov. On characterizations of families of distributions, including logistic, by properties of order statistics. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 17, Tome 396 (2011), pp. 67-72. http://geodesic.mathdoc.fr/item/ZNSL_2011_396_a2/