Asymptotic properties and influence function of a robust and simple dispersion matrix estimator

Citation
M. Fekri et A. Ruiz-gazen, Asymptotic properties and influence function of a robust and simple dispersion matrix estimator, CR AC S I, 330(6), 2000, pp. 505-508
Citations number
15
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
330
Issue
6
Year of publication
2000
Pages
505 - 508
Database
ISI
SICI code
0764-4442(20000315)330:6<505:APAIFO>2.0.ZU;2-R
Abstract
In [14], we define a robust and simple covariance estimator and give some o f its properties such as definite positiveness, consistency and B-robustnes s. In the present note, we propose to complete this theoretical study and g ive the asymptotic distribution and influence function of the estimator and of its spectral elements. (C) 2000 Academie des sciences/Editions scientif iques et medicales Elsevier SAS.