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Characterization of distributions by equalities of order statistics

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Abstract

It is proved that equality of two different order statistics holds for degenerate or two-point distributions only. Several examples of such equalities are considered, and particular values of the corresponding distribution functions are obtained. Bibliography: 3 titles.

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References

  1. V. B. Nevzorov, Records. Mathematical Theory [in Russian], Moscow (2000).

  2. M. Ahsanullah and V. B. Nevzorov, Ordered Random Variables, NSP, New York (2001).

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  3. B. C. Arnold, N. Balakrishnan, and H. N. Nagaraja, A First Course in Order Statistics, Wiley, New York (1992).

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    V. K. Sagatelyan

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  1. V. K. Sagatelyan
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Correspondence to V. K. Sagatelyan.

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__________

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 341, 2007, pp. 168–173.

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Sagatelyan, V.K. Characterization of distributions by equalities of order statistics. J Math Sci 147, 6946–6949 (2007). https://doi.org/10.1007/s10958-007-0519-1

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  • DOI: https://doi.org/10.1007/s10958-007-0519-1

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