Commenced in January 2007
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The Relative Efficiency of Parameter Estimation in Linear Weighted Regression
Authors: Baoguang Tian, Nan Chen
Abstract:
A new relative efficiency in linear model in reference is instructed into the linear weighted regression, and its upper and lower bound are proposed. In the linear weighted regression model, for the best linear unbiased estimation of mean matrix respect to the least-squares estimation, two new relative efficiencies are given, and their upper and lower bounds are also studied.
Keywords: Linear weighted regression, Relative efficiency, Mean matrix, Trace.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1097329
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[1] Q.T. Duan, Y.H. Zhang, “Relative Efficiency of LSE in Linear Weighted Regression,” Pure mathematics and applied learning, 1998, 4, pp. 25-29.
[2] J. Wang, W.X. Wang, “The Relative Efficiency of the Parameter Estimate in Linear Weighted Regression,” Guangxi normal learning, 2000, 15, pp. 37-40.
[3] X.X. Chen, “A New Relative Efficiency of the Parameter estimation in Linear Model,” Journal of Jiangxi normal university, 1999, 23, pp. 313-315.
[4] H.S. Liu, R.Q. Li. “The Relative Efficiency of the Parameter Estimate in Linear Weighted Regression,” Journal of Taiyuan university of technology, 2005, 36, pp. 612-614.
[5] S.G. Wang, M.X. Wu, and Z.Z. Jia, Matrix Inequality, Beijing: Science Press. 2006.
[6] J.L. Wang, D.D. Gao, “The Relative Efficiency of the Generalized Least Squares Estimate in Euclidean Mode Sense,” Application of probability and statistics, 1992, 7, pp. 361-366.
[7] S.G. Wang, Z.Z. Jia. Matrix Inequality, Hefei: Anhui Education Press. 1994.
[8] X.M. Liu, J. Zhang. “A new efficiency in linear model,” Mathematical theory and applications, 2000, 20, pp. 26-29.
[9] A.Y. Liu, S.G. Wang. “A new efficiency of least squares estimate in the linear model,” Application of probability and statistics, 1989. 15, pp. 97-104.