generalized inverse;
large sample asymptotic;
quadratic loss;
restrictions;
Monte-Carlo experiments;
D O I:
10.1081/STA-100001558
中图分类号:
O21 [概率论与数理统计];
C8 [统计学];
学科分类号:
020208 ;
070103 ;
0714 ;
摘要:
In the present paper, we propose a Stein-rule estimator for the general linear regression model with nonspherical disturbances and a set of linear restrictions binding the regression coefficients. The asymptotic risk properties of the proposed estimator under a quadratic loss structure are derived, and a sufficient condition For the proposed estimator to dominate the feasible generalized restricted least squares estimator in large samples is presented. The small sample behavior of the proposed estimator is studied via a Monte-Carlo experiment.