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Matematicheskie Zametki, 1970, Volume 7, Issue 4, Pages 383–388 (Mi mzm9520)  
Application of number theory in mathematical statistics

Yu. V. Linnik

V. A. Steklov Mathematics Institute, Leningrad Branch, Academy of Sciences of the USSR
Full-text PDF (646 kB)
Abstract: Elementary number theory (divisibility theory) is used to prove that, in the case of repeated sampling, when the $k$-th generalized sample moment is independent of the sample mean then the sampling is normal if the volume of the sample is large and $k$ is a square-free integer which, if it is even, is not of the form $2(2s +1)$).
Received: 16.12.1969
English version:
Mathematical Notes, 1970, Volume 7, Issue 4, Pages 230–233
DOI: https://doi.org/10.1007/BF01151693
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: Yu. V. Linnik, “Application of number theory in mathematical statistics”, Mat. Zametki, 7:4 (1970), 383–388; Math. Notes, 7:4 (1970), 230–233
Citation in format AMSBIB
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\by Yu.~V.~Linnik
\paper Application of number theory in mathematical statistics
\jour Mat. Zametki
\yr 1970
\vol 7
\issue 4
\pages 383--388
\mathnet{http://mi.mathnet.ru/mzm9520}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=278431}
\zmath{https://zbmath.org/?q=an:0236.62003|0215.54101}
\transl
\jour Math. Notes
\yr 1970
\vol 7
\issue 4
\pages 230--233
\crossref{https://doi.org/10.1007/BF01151693}
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