Geodesic
On some characterizations of families of distributions, including logistic or exponential, by properties of order statistics
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 16, Tome 384 (2010), pp. 176-181 Cet article a éte moissonné depuis la source Math-Net.Ru

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New characterizations of distributions based on properties of the maximal order statistics are obtained. The families of distributions, which are characterized by some properties of maxima, include exponential and logistic distributions as partial cases. Bibl. 4 titles. 
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     title = {On some characterizations of families of distributions, including logistic or exponential, by properties of order statistics},
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V. O. Zykov; V. B. Nevzorov. On some characterizations of families of distributions, including logistic or exponential, by properties of order statistics. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 16, Tome 384 (2010), pp. 176-181. http://geodesic.mathdoc.fr/item/ZNSL_2010_384_a7/

[1] E. O. George, G. S. Mudholkar, “A characterization of the logistic distribution by a sample median”, Ann. Inst. Statist. Math., 33:1 (1981), 125–129 | DOI | MR | Zbl

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

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

[4] V. B. Nevzorov, Rekordy. Matematicheskaya teoriya, FAZIS, M., 2000 | MR | Zbl