Geodesic
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 
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/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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.

[1] M. Ahsanullah, G. P. Yanev, “Characterizations of logistic distribution by properties of order statistics”, Sankhya (to appear)

[2] E. O. George, G. S. Mudholkar, “A characterization of the logistic distribution by a sample median”, Ann. Inst. Statist. Math., 33, Part A (1981), 125–129 | DOI | MR | Zbl

[3] G. D. Lin, C.-Y. Hu, “On characterizations of the logistic distribution”, J. Statist. Plann. Inference, 138 (2008), 1147–1156 | DOI | MR | Zbl

[4] V. O. Zykov, V. B. Nevzorov, “O nekotorykh kharakterizatsiyakh semeistv raspredelenii, vklyuchayuschikh logisticheskoe ili eksponentsialnoe, svoistvami poryadkovykh statistik”, Zap. nauchn. semin. POMI, 384, 2010, 176–181 | MR

[5] V. B. Nevzorov, Rekordy. Matematicheskaya teoriya, Fazis, M., 2000 | MR | Zbl