| Article ID: | iaor19983085 |
| Country: | Netherlands |
| Volume: | 20 |
| Issue: | 5 |
| Start Page Number: | 229 |
| End Page Number: | 235 |
| Publication Date: | Jun 1997 |
| Journal: | Operations Research Letters |
| Authors: | Stadje Wolfgang |
| Keywords: | quality & reliability, queues: theory |
It is proved that a certain kind of randomly discounted random sums is asymptotically normal as the discount constant tends to zero. For replaceable systems with random lifetime, these sums represent the total discounted cost of policies of the age-replacement type; other applications to queueing and related areas are also indicated.