On the distribution of the distance of pairs of random points from a spherical shell
We study the distribution of the distance of a pair of independent random points selected uniformly in concentric spherical shells in Rd. Additionally, we rederive the distribution of the distance between two random points in a ball selected according to the beta distribution. Finally, we also consi...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2026
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| Sorozat: | ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS
23 |
| Tárgyszavak: | |
| doi: | 10.30757/ALEA.v23-21 |
| mtmt: | 37108476 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/40078 |
| Tartalmi kivonat: | We study the distribution of the distance of a pair of independent random points selected uniformly in concentric spherical shells in Rd. Additionally, we rederive the distribution of the distance between two random points in a ball selected according to the beta distribution. Finally, we also consider the distance between two points following a beta distribution in a concentric spherical shell in some special cases for β and d. |
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| Terjedelem/Fizikai jellemzők: | 16 567-582 |
| ISSN: | 1980-0436 |