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The discrete renewal equation with nonsummable inhomogeneous term Full article

Journal Brazilian Journal of Probability and Statistics
ISSN: 0103-0752
Output data Year: 2022, Volume: 36, Number: 1, Pages: 103-110 Pages count : 8 DOI: 10.1214/21-BJPS517
Tags Arithmetic distribution; Asymptotic behavior; Discrete renewal equation; Inhomogeneous equation; Positive mean; Submultiplicative sequence
Authors Sgibnev M.S. 1
Affiliations
1 Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation

Funding (1)

1 Sobolev Institute of Mathematics 0314-2019-0005

Abstract: We consider the discrete renewal equation. The inhomogeneous term behaves like a nondecreasing submultiplicative sequence. Asymptotic properties of the solution are established depending on the asymptotics of the submultiplicative sequence.
Cite: Sgibnev M.S.
The discrete renewal equation with nonsummable inhomogeneous term
Brazilian Journal of Probability and Statistics. 2022. V.36. N1. P.103-110. DOI: 10.1214/21-BJPS517 WOS Scopus РИНЦ OpenAlex
Identifiers:
Web of science: WOS:000753497700005
Scopus: 2-s2.0-85124825328
Elibrary: 48149900
OpenAlex: W4210847122
Citing:
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