U-max-Statistics
| dc.creator | Lao, Wei | |
| dc.creator | Mayer, Michael | |
| dc.date | 2007-04-11 | |
| dc.date.accessioned | 2026-07-07T07:56:08Z | |
| dc.date.available | 2026-07-07T07:56:08Z | |
| dc.description | In 1948, W. Hoeffding introduced a large class of unbiased estimators called U-statistics, defined as the average value of a real-valued k-variate function h calculated at all possible sets of k points from a random sample. In the present paper we investigate the corresponding extreme value analogue, which we shall call U-max-statistics. We are concerned with the behavior of the largest value of such function h instead of its average. Examples of U-max-statistics are the diameter or the largest scalar product within a random sample. U-max-statistics of higher degrees are given by triameters and other metric invariants. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/0704.1379 | |
| dc.identifier | http://arxiv.org/abs/0704.1379 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127197 | |
| dc.subject | Statistics Theory | |
| dc.subject | Probability | |
| dc.subject | 62H11; 62E20 | |
| dc.title | U-max-Statistics | |
| dc.type | text |