Moment inequalities for U-statistics
| dc.creator | Adamczak, Radosław | |
| dc.date | 2005-06-01 | |
| dc.date | 2007-02-28 | |
| dc.date.accessioned | 2026-07-07T07:49:07Z | |
| dc.date.available | 2026-07-07T07:49:07Z | |
| dc.description | We present moment inequalities for completely degenerate Banach space valued (generalized) U-statistics of arbitrary order. The estimates involve suprema of empirical processes which, in the real-valued case, can be replaced by simpler norms of the kernel matrix (i.e., norms of some multilinear operators associated with the kernel matrix). As a corollary, we derive tail inequalities for U-statistics with bounded kernels and for some multiple stochastic integrals. | |
| dc.description | Published at http://dx.doi.org/10.1214/009117906000000476 in 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/0506026 | |
| dc.identifier | http://arxiv.org/abs/math/0506026 | |
| dc.identifier | Annals of Probability 2006, Vol. 34, No. 6, 2288-2314 | |
| dc.identifier | doi:10.1214/009117906000000476 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124728 | |
| dc.subject | Probability | |
| dc.subject | 60E15 (Primary) | |
| dc.title | Moment inequalities for U-statistics | |
| dc.type | text |