Consistency of the $α$-trimming of a probability. Applications to central regions
| dc.creator | Cascos, Ignacio | |
| dc.creator | López-Díaz, Miguel | |
| dc.date | 2008-05-15 | |
| dc.date.accessioned | 2026-07-07T12:18:53Z | |
| dc.date.available | 2026-07-07T12:18:53Z | |
| dc.description | The sequence of $α$-trimmings of empirical probabilities is shown to converge, in the Painlevé--Kuratowski sense, on the class of probability measures endowed with the weak topology, to the $α$-trimming of the population probability. Such a result is applied to the study of the asymptotic behaviour of central regions based on the trimming of a probability. | |
| dc.description | Published in at http://dx.doi.org/10.3150/07-BEJ109 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm) | |
| dc.identifier | https://arxiv.org/abs/0805.2219 | |
| dc.identifier | http://arxiv.org/abs/0805.2219 | |
| dc.identifier | Bernoulli 2008, Vol. 14, No. 2, 580-592 | |
| dc.identifier | doi:10.3150/07-BEJ109 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/212567 | |
| dc.subject | Statistics Theory | |
| dc.title | Consistency of the $α$-trimming of a probability. Applications to central regions | |
| dc.type | text |