One characterization of distributions based on regressional property of the range of a sample is obtained for random sampling without replacement. Bibliography: 2 titles.
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A. Berred and V. B. Nevzorov, "Samples without replacement: disrcete analogs of some continuous distributions," Zap. Nauchn. Semin. POMI, 311, 40–50 (2004).
A. Berred and V. Nevzorov, "Characterizations based on order statistics under sampling without replaement," J. Statist. Planning Infer., 139, 547–557 (2009).
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 368, 2009, pp. 53–58.
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Berred, A., Nevzorov, V.B. Samples without replacement: one property of distribution of range. J Math Sci 167, 461–463 (2010). https://doi.org/10.1007/s10958-010-9931-z
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DOI: https://doi.org/10.1007/s10958-010-9931-z