Abstract
Given a renewal process {S n} n≥1 and a fixed terminal time T > 0, we want to find a strategy that maximizes the probability of stopping, without recall, at the last renewal up to T. We give a simple criterion to guarantee that the optimal strategy is of threshold type. This simple criterion is applied to several cases, including a problem of optimal stopping on patterns discussed in Bruss and Louchard (2003).
| Original language | English |
|---|---|
| Pages (from-to) | 725-733 |
| Number of pages | 9 |
| Journal | Statistica Sinica |
| Volume | 17 |
| Issue number | 2 |
| Publication status | Published - 2007 Apr 1 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty
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Cite this
Hsiau, S. R. (2007). Stopping at the last renewal up to a terminal time. Statistica Sinica, 17(2), 725-733.