New characterizations of distributions based on properties of the maximal order statistics are obtained. The families of distributions that are characterized by some properties of maxima include exponential and logistic distributions as partial cases. Bibliography: 4 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 384, 2010, pp. 176–181.
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Zykov, V.O., Nevzorov, V.B. Some characterizations of families of distributions, including logistic and exponential ones, by properties of order statistics. J Math Sci 176, 203–206 (2011). https://doi.org/10.1007/s10958-011-0410-y
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DOI: https://doi.org/10.1007/s10958-011-0410-y