Weighted Renewal Functions: A Hierarchical Approach
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.
Veröffentlicht in: | Advances in Applied Probability. - Applied Probability Trust. - 34(2002), 2, Seite 394-415 |
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Format: | Online-Aufsatz |
Sprache: | English |
Veröffentlicht: |
2002
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Zugriff auf das übergeordnete Werk: | Advances in Applied Probability |
Schlagworte: | Renewal theory Elementary renewal theorem Blackwell's theorem Key renewal theorem Direct riemann integrability Remainder theorems Renewal moments Mathematics Information science Applied sciences |
Zusammenfassung: | 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. |
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ISSN: | 00018678 |