Series expansions for random disc-polygons in smooth plane convex bodies
We establish power-series expansions for the asymptotic expectations of the vertex number and missed area of random disc-polygons in planar convex bodies with -smooth boundaries. These results extend asymptotic formulas proved in Fodor et al. (2014).
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2024
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| Sorozat: | JOURNAL OF APPLIED PROBABILITY
61 No. 4 |
| Tárgyszavak: | |
| doi: | 10.1017/jpr.2024.27 |
| mtmt: | 34860794 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/35062 |
| Tartalmi kivonat: | We establish power-series expansions for the asymptotic expectations of the vertex number and missed area of random disc-polygons in planar convex bodies with -smooth boundaries. These results extend asymptotic formulas proved in Fodor et al. (2014). |
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| Terjedelem/Fizikai jellemzők: | 1407-1423 |
| ISSN: | 0021-9002 |