The LIL for canonical $U$-statistics
| dc.creator | Adamczak, Radosław | |
| dc.creator | Latała, Rafał | |
| dc.date | 2006-04-11 | |
| dc.date | 2008-06-13 | |
| dc.date.accessioned | 2026-07-07T09:44:52Z | |
| dc.date.available | 2026-07-07T09:44:52Z | |
| dc.description | We give necessary and sufficient conditions for the (bounded) law of the iterated logarithm for canonical $U$-statistics of arbitrary order $d$, extending the previously known results for $d=2$. The nasc's are expressed as growth conditions on a parameterized family of norms associated with the $U$-statistics kernel. | |
| dc.description | Published in at http://dx.doi.org/10.1214/07-AOP351 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0604262 | |
| dc.identifier | http://arxiv.org/abs/math/0604262 | |
| dc.identifier | Annals of Probability 2008, Vol. 36, No. 3, 1023-1058 | |
| dc.identifier | doi:10.1214/07-AOP351 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163026 | |
| dc.subject | Probability | |
| dc.subject | 60E15 (Primary) | |
| dc.title | The LIL for canonical $U$-statistics | |
| dc.type | text |