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Teoriya Veroyatnostei i ee Primeneniya, 1975, Volume 20, Issue 3, Pages 668–672 (Mi tvp3332)  
This article is cited in 2 scientific papers (total in 2 papers)

Short Communications

On samples with identically distributed linear statistics

A. A. Zinger

Leningrad
Full-text PDF (301 kB) Citations (2)
Abstract: Necessary and sufficient conditions are given for the characterization of the normal law by the property that the distributions of two linear statistics of type (0) with equal maximal moduli of coefficients (condition (4)) coincide. This result supplements wellknown Yu. V. Linnik's characterization theorem (see [1], Theorem 1) under conditions on the coefficients opposite to mentioned above.
Received: 01.08.1974
English version:
Theory of Probability and its Applications, 1976, Volume 20, Issue 3, Pages 655–660
DOI: https://doi.org/10.1137/1120075
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Zinger, “On samples with identically distributed linear statistics”, Teor. Veroyatnost. i Primenen., 20:3 (1975), 668–672; Theory Probab. Appl., 20:3 (1976), 655–660
Citation in format AMSBIB
\Bibitem{Zin75}
\by A.~A.~Zinger
\paper On samples with identically distributed linear statistics
\jour Teor. Veroyatnost. i Primenen.
\yr 1975
\vol 20
\issue 3
\pages 668--672
\mathnet{http://mi.mathnet.ru/tvp3332}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=381077}
\zmath{https://zbmath.org/?q=an:0361.62012}
\transl
\jour Theory Probab. Appl.
\yr 1976
\vol 20
\issue 3
\pages 655--660
\crossref{https://doi.org/10.1137/1120075}
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  • https://www.mathnet.ru/eng/tvp/v20/i3/p668
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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