Robust improvement in estimation of a mean matrix in an elliptically contoured distribution

Citation
T. Kubokawa et Ms. Srivastava, Robust improvement in estimation of a mean matrix in an elliptically contoured distribution, J MULT ANAL, 76(1), 2001, pp. 138-152
Citations number
24
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MULTIVARIATE ANALYSIS
ISSN journal
0047259X → ACNP
Volume
76
Issue
1
Year of publication
2001
Pages
138 - 152
Database
ISI
SICI code
0047-259X(200101)76:1<138:RIIEOA>2.0.ZU;2-G
Abstract
In estimation of a matrix of regression coefficients in a multivariate line ar regression model. this paper shows that minimax and shrinkage estimators under a normal distribution remain robust under an elliptically contoured distribution. The robustness of the improvement is established for both inv ariant and noninvariant loss functions in the above model as well as in the growth curve model. (C) 2001 Academic Press.