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Mathematical Notes
Article . 1970 . Peer-reviewed
License: Springer TDM
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Application of number theory in mathematical statistics

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 1970 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes of the Academy of Sciences of the USSR, volume 7, pages 230-233 (issn: 0001-4346, eissn: 1573-8876, Copyright policy )
Authors: Yu. V. Linnik;

doi: 10.1007/bf01151693

Application of number theory in mathematical statistics

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)).

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
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