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Journal of Applied Mathematics
Volume 2014, Article ID 173836, 6 pages
Research Article

On the Stochastic Restricted Class Estimator and Stochastic Restricted Class Estimator in Linear Regression Model

Jibo Wu1,2

1School of Mathematics and Finances, Chongqing University of Arts and Sciences, Chongqing 402160, China
2Department of Mathematics and KLDAIP, Chongqing University of Arts and Sciences, Chongqing 402160, China

Received 26 November 2013; Accepted 13 December 2013; Published 2 January 2014

Academic Editor: Ram N. Mohapatra

Copyright © 2014 Jibo Wu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The stochastic restricted class estimator and stochastic restricted class estimator are proposed for the vector of parameters in a multiple linear regression model with stochastic linear restrictions. The mean squared error matrix of the proposed estimators is derived and compared, and some properties of the proposed estimators are also discussed. Finally, a numerical example is given to show some of the theoretical results.