Abstract
This note studies a Poisson arrival selection problem for the full-information case with an unknown intensity λ which has a Gamma prior density G(r, 1/a), where a > 0 and r is a natural number. For the no-information case with the same setting, the problem is monotone and the one-step look-ahead rule is an optimal stopping rule; in contrast, this note proves that the full-information case is not a monotone stopping problem.
| Original language | English |
|---|---|
| Pages (from-to) | 1147-1154 |
| Number of pages | 8 |
| Journal | Journal of Applied Probability |
| Volume | 40 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2003 Dec 1 |
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Keywords
- OLA rule
- Optimal stopping
- Poisson process
- Secretary problem
ASJC Scopus subject areas
- Statistics and Probability
- Mathematics(all)
- Statistics, Probability and Uncertainty
Cite this
Kurushima, A., & Ano, K. (2003). A note on the full-information poisson arrival selection problem. Journal of Applied Probability, 40(4), 1147-1154. https://doi.org/10.1239/jap/1067436106