Estimation from transformed data under the linear regression model

被引:4
作者
Liski, EP [1 ]
Trenkler, G [1 ]
Gross, J [1 ]
机构
[1] UNIV DORTMUND,D-44221 DORTMUND,GERMANY
关键词
linear regression model; mean square error (MSE) matrix; ordinary least squares (OLS) estimator; admissible estimator; orthogonal projector; contraction; F-distribution;
D O I
10.1080/02331889708802585
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
The results of Stahlecker and Schmidt (1987) are considered for a more general class of transformations of the dependent variable. Mean square error matrix dominance of the so-called naive estimator over the usual OLS estimator is investigated and the related testing procedures are discussed. Some remarks on the admissibility of the naive estimator are given.
引用
收藏
页码:205 / 219
页数:15
相关论文
共 22 条
[1]  
[Anonymous], BIOMETRIKA TABLES ST
[2]   MEAN-SQUARE ERROR MATRIX IMPROVEMENTS AND ADMISSIBILITY OF LINEAR ESTIMATORS [J].
BAKSALARY, JK ;
LISKI, EP ;
TRENKLER, G .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1989, 23 (03) :313-325
[3]   A MATRIX INEQUALITY AND ADMISSIBILITY OF LINEAR ESTIMATORS WITH RESPECT TO THE MEAN-SQUARE ERROR MATRIX CRITERION [J].
BAKSALARY, JK ;
MARKIEWICZ, A .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1989, 112 :9-18
[4]   SOME FURTHER RESULTS ON HERMITIAN-MATRIX INEQUALITIES [J].
BAKSALARY, JK ;
SCHIPP, B ;
TRENKLER, G .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 160 :119-129
[5]   SOME PROPERTIES OF MATRIX PARTIAL ORDERINGS [J].
BAKSALARY, JK ;
PUKELSHEIM, F ;
STYAN, GPH .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1989, 119 :57-85
[6]  
BAKSALARY JK, 1989, A217 U TAMP DEP MATH
[7]  
GOODNIGHT G, 1982, ECONOMETRICA, V40, P699
[8]   NFD - NONCENTRAL F-DISTRIBUTION [J].
HAN, CP .
AMERICAN STATISTICIAN, 1985, 39 (03) :211-211
[9]  
Hartwig RE., 1983, LINEAR MULTILINEAR A, V13, P295
[10]  
Horn R. A., 1987, MATRIX ANAL