Weighted renewal functions: a hierarchical approach

Citation
Omey, Edward et L. Teugels, Jef, Weighted renewal functions: a hierarchical approach, Advances in applied probability , 34(2), 2002, pp. 394-415
ISSN journal
00018678
Volume
34
Issue
2
Year of publication
2002
Pages
394 - 415
Database
ACNP
SICI code
Abstract
We extend classical renewal theorems to the weighted case. A hierarchical chain of successive sharpenings of asymptotic statements on the weighted renewal functions is obtained by imposing stronger conditions on the weighting coefficients.