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A probabilistic approach to stirling numbers of the first kind

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1990 English Publisher:Informa UK LimitedJournal:Communications in Statistics - Theory and Methods, volume 19, pages 3,915-3,923 (issn: 0361-0926, eissn: 1532-415X, Copyright policy )
Authors: Yamato Hajime;

doi: 10.1080/03610929008830421

A probabilistic approach to stirling numbers of the first kind

Abstract

Let be a sequence of independent random variables which take on one of the values 0, 1 with specified probabilities where B1=l with probability one. Then the sum takes on one of the values l,…,n with the probabilities related to Stirling numbers of the first kind. Using these random variables we show several properties of the numbers.

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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!
5
Average
Top 10%
Average
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