Key renewal theorem and asymptotics of the renewal measure on Borel sets

We prove a uniform key renewal theorem with submultiplicative estimate of the remainder. The asymptotic behavior of the renewal measure on Borel sets of arbitrary form is also considered.

Bibliographic Details
Main Author: M.S. Sgibnev
Format: Article
Language:English
Published: Research Group on Mathematical Applications and Modelling (RGMAM) 2023-07-01
Series:European Journal of Mathematics and Applications
Online Access:http://ejma.euap.org/articles/525