Large and moderate deviations principles for recursive kernel estimators of a multivariate density and its partial derivatives
| dc.creator | Mokkadem, Abdelkader | |
| dc.creator | Pelletier, Mariane | |
| dc.creator | Thiam, Baba | |
| dc.date | 2006-01-18 | |
| dc.date.accessioned | 2026-07-07T08:07:27Z | |
| dc.date.available | 2026-07-07T08:07:27Z | |
| dc.description | In this paper we prove large and moderate deviations principles for the recursive kernel estimator of a probability density function and its partial derivatives. Unlike the density estimator, the derivatives estimators exhibit a quadratic behavior not only for the moderate deviations scale but also for the large deviations one. We provide results both for the pointwise and the uniform deviations. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/math/0601429 | |
| dc.identifier | http://arxiv.org/abs/math/0601429 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130947 | |
| dc.subject | Statistics Theory | |
| dc.title | Large and moderate deviations principles for recursive kernel estimators of a multivariate density and its partial derivatives | |
| dc.type | text |