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Refining Rossberg’s Theorem

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Abstract

A study is performed of the asymptotic independence of intermediate order statistics and the ‘‘lower’’ and ‘‘upper’’ extreme order statistics as the sample size grows infinitely large. The result is used to refine Rossberg’s theorem.

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REFERENCES

  1. H. J. Rossberg, ‘‘Die asymptotische Unabhangigkelt der kleinsten und grossten Werte einer Stichprobe vom Stichprobenmittel,’’ Math. Nachr. 28, 305–18 (1965).

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  2. H. A. David, Order Statistics (Wiley, New York, 1970; Nauka, Moscow, 1979).

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Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Moscow State University, 119991, Moscow, Russia

    V. I. Pagurova

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  1. V. I. Pagurova
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Correspondence to V. I. Pagurova.

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Translated by I. Tselishcheva

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Pagurova, V.I. Refining Rossberg’s Theorem. MoscowUniv.Comput.Math.Cybern. 44, 95–96 (2020). https://doi.org/10.3103/S0278641920020053

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  • DOI: https://doi.org/10.3103/S0278641920020053

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