Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1146875 | Journal of Multivariate Analysis | 2009 | 9 Pages |
Abstract
For the linear regression model y=Xβ+ϵ, we assume that for a given positive definite scale matrix Σ, the error vector has a multivariate normal distribution and Σ has the inverted Wishart distribution. For under an orthogonal sub-space restriction Hβ=h, we propose restricted unbiased, preliminary test and Stein-type estimators of variance of the error term, for when the scale of the inverse Wishart distribution is assumed to be unknown. We compare the weighted quadratic risks of the underlying estimators and propose dominance pictures for them.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Numerical Analysis
Authors
M. Arashi, S.M.M. Tabatabaey,