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Without-replacement samples: discrete analogs of some continuous distributions
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 7, Tome 311 (2004), pp. 40-50 Cet article a éte moissonné depuis la source Math-Net.Ru

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Some characterizations of distributions based on regressional properties of order statistics are obtained for random sampling without replacement. 
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A. Berred; V. B. Nevzorov. Without-replacement samples: discrete analogs of some continuous distributions. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 7, Tome 311 (2004), pp. 40-50. http://geodesic.mathdoc.fr/item/ZNSL_2004_311_a1/

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[4] T. S. Ferguson, “On characterizing distributions by properties of order statistics”, Sankhya, Ser. A, 29 (1967), 265–278 | MR | Zbl