Abstract
Necessary and sufficient conditions are obtained for: (i) convergence of row products from a null triangular array of renewal sequences to a particular renewal sequence and (ii) convergence of an infinite product of renewal sequences to a non-trivial limit. These products correspond to intersections of regenerative phenomena of integers. Lévy processes of such regenerative phenomena are constructed.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 479-507 |
| Number of pages | 29 |
| Journal | Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete |
| Volume | 58 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 1981 |
| Externally published | Yes |