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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2010 Volume 384, Pages 176–181 (Mi znsl3889)

This article is cited in 4 papers

On some characterizations of families of distributions, including logistic or exponential, by properties of order statistics

V. O. Zykov, V. B. Nevzorov

St. Petersburg State University, St. Petersburg, Russia

Abstract: 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.

Key words and phrases: order statistics, characterizations of distributions, exponential distribution, logistic distribution.

UDC: 519

Received: 08.11.2010


 English version:
Journal of Mathematical Sciences (New York), 2011, 176:2, 203–206

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© Steklov Math. Inst. of RAS, 2024