A new stochastic mixed ridge estimator in linear regression model

被引：49

作者：

Li, Yalian ^{[1
]}

Yang, Hu ^{[1
]}

机构：

[1] Chongqing Univ, Dept Stat & Actuarial Sci, Chongqing 400030, Peoples R China

来源：

STATISTICAL PAPERS | 2010年 / 51卷 / 02期

关键词：

Ordinary ridge estimator; Ordinary mixed estimator; Stochastic mixed ridge estimator; Mean squared error matrix; PRIOR INFORMATION; ERROR;

D O I：

10.1007/s00362-008-0169-5

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：

This paper is concerned with the parameter estimation in linear regression model with additional stochastic linear restrictions. To overcome the multicollinearity problem, a new stochastic mixed ridge estimator is proposed and its efficiency is discussed. Necessary and sufficient conditions for the superiority of the stochastic mixed ridge estimator over the ridge estimator and the mixed estimator in the mean squared error matrix sense are derived for the two cases in which the parametric restrictions are correct and are not correct. Finally, a numerical example is also given to show the theoretical results.

引用

页码：315 / 323

页数：9

共 17 条

[1] Mean squared error matrix comparisons of some biased estimators in linear regression [J].

Akdeniz, F ;

Erol, H .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2003, 32 (12) :2389-2413

[2]

[Anonymous], TECHNOMETRICS

[3] NONNEGATIVE AND POSITIVE DEFINITENESS OF MATRICES MODIFIED BY 2 MATRICES OF RANK ONE [J].

BAKSALARY, JK ;

TRENKLER, G .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1991, 151 :169-184

[4] A NOTE ON REGRESSION WHEN THERE IS EXTRANEOUS INFORMATION ABOUT ONE OF THE COEFFICIENTS [J].

DURBIN, J .

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1953, 48 (264) :799-808

[5]

FAREBROTHER RW, 1976, J ROY STAT SOC B MET, V38, P248

[6] Restricted ridge estimation [J].

Gross, E .

STATISTICS & PROBABILITY LETTERS, 2003, 65 (01) :57-64

[7]

Gruber M., 1998, Improving Efficiency by Shrinkage: The James-Stein and Ridge Regression Estimators

[8] Improvement of the Liu estimator in linear regression model [J].

Hubert, MH ;

Wijekoon, P .

STATISTICAL PAPERS, 2006, 47 (03) :471-479

[9] Mean squared error comparisons of the modified ridge regression estimator and the restricted ridge regression estimator [J].

Kaciranlar, S ;

Sakallioglu, S ;

Akdeniz, F .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1998, 27 (01) :131-138

[10]

Kaciranlar S., 1999, SANKHYA SER B, V61, P443

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