The discrete renewal equation with nonsummable inhomogeneous term

DOI10.1214/21-BJPS517zbMath1490.39027OpenAlexW4210847122MaRDI QIDQ2077452

Mikhail S. Sgibnev

Publication date: 21 February 2022

Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/21-bjps517

zbMATH Keywords

asymptotic behaviorinhomogeneous equationdiscrete renewal equationarithmetic distributionpositive meansubmultiplicative sequence

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Arithmetic functions in probabilistic number theory (11K65) Renewal theory (60K05) Stochastic difference equations (39A50)

Related Items (1)

The renewal equation with unbounded inhomogeneous term

Cites Work

• On Stone's renewal theorem for arithmetic distributions
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