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.
Acknowledgments
I wish to express gratitude to the reviewer for a careful reading of the manuscript and for making valuable comments and suggestions.
The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (Project No. 0314-2019-0005).
Citation
M. S. Sgibnev. "The discrete renewal equation with nonsummable inhomogeneous term." Braz. J. Probab. Stat. 36 (1) 103 - 110, March 2022. https://doi.org/10.1214/21-BJPS517
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