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Statistics & Probability Letters
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Preprint . 2010
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Generalized Fibonacci numbers and Blackwell’s renewal theorem

Generalized Fibonacci numbers and Blackwell's renewal theorem
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Sep 2012 English Publisher:Elsevier BVJournal:Statistics & Probability Letters, volume 82, pages 1,665-1,668 (issn: 0167-7152, Copyright policy )
Authors: Christensen, Sören;

doi: 10.1016/j.spl.2012.05.003

arXiv: 1012.5006

Generalized Fibonacci numbers and Blackwell’s renewal theorem

Abstract

We investigate a connection between generalized Fibonacci numbers and renewal theory for stochastic processes. Using Blackwell's renewal theorem we find an approximation to the generalized Fibonacci numbers. With the help of error estimates in the renewal theorem we figure out an explicit representation.

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Keywords

Mathematics - Number Theory, generalized Fibonacci numbers, 11B39, 60K20, Renewal theory, Fibonacci and Lucas numbers and polynomials and generalizations, renewal theory, Mathematics - Probability

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selected citations
These citations are derived from selected sources.
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!
2
Average
Top 10%
Average
Green
bronze