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On regression relations between sample means and order statistics

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Abstract

New characterizations of certain probability distributions by regression equalities involving sample means and various elements of the variational series are obtained. As a particular case, relations characterizing Student’s t 2-distribution are presented.

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References

  1. M. Ahsanullah and V. B. Nevzorov, “On characterizations based on record values and order statistics,” J. Stat. Plan. Inference 63, 271–289 (1997).

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  2. V. B. Nevzorov, “One property of Student’s distribution on two degrees of freedom,” J. Math. Sci. (New York) 127, 1757–1762 (2005).

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Authors and Affiliations

  1. St. Petersburg State University, Universitetskaya nab. 7/9, St. Petersburg, 199034, Russia

    V. B. Nevzorov

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  1. V. B. Nevzorov
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Correspondence to V. B. Nevzorov.

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Original Russian Text © V.B. Nevzorov, 2015, published in Vestnik Sankt-Peterburgskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya, 2015, No. 3, pp. 376–380.

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Nevzorov, V.B. On regression relations between sample means and order statistics. Vestnik St.Petersb. Univ.Math. 48, 164–167 (2015). https://doi.org/10.3103/S1063454115030061

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  • DOI: https://doi.org/10.3103/S1063454115030061

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