The Relative Efficiency of the Conditional Root Square Estimation of Parameter in Inhomogeneous Equality Restricted Linear Model

DOI: 10.4236/ajcm.2012.23031   PDF   HTML   XML   3,050 Downloads   4,867 Views  

Abstract

This paper made a discuss on the relative efficiency of the generalized conditional root square estimation and the specific conditional root square estimation in paper [1,2] in inhomogeneous equality restricted linear model. It is shown that the generalized conditional root squares estimation has not smaller the relative efficiency than the specific conditional root square estimation, by a constraint condition in root squares parameter, we compare bounds of them, thus, choose appropriate squares parameter, the generalized conditional root square estimation has the good performance on mean squares error.

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X. Nong, "The Relative Efficiency of the Conditional Root Square Estimation of Parameter in Inhomogeneous Equality Restricted Linear Model," American Journal of Computational Mathematics, Vol. 2 No. 3, 2012, pp. 235-239. doi: 10.4236/ajcm.2012.23031.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] NONG XIU-LI, LIU WAN-RONG. The Conditional Root Square Estimation of Parameter of Restricted Linear Model [J], Journal of Chongqing Normal University (Natural Science Edition), 2007(2): 24-28.
[2] NONG XIU-LI, LIU WAN-RONG et al. The Generalized Conditional Root Squares Estimation of Parameter in Restricted Linear Model [J], Journal of GuangXi University of Technology, 2007, 18(3): 24-27.
[3] WANG PING-HUA.The Relative Efficiency of the Generalized Ridge Estimation [J]. Journal of QuanZhou Normal College, 1998, 2: 13-15.

  
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