最小二乘估计精度及其界限

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The Inefficiency of the Least Squares Estimator and Its Bound

摘要: Puntanen^[1]提出用均方误差来度量最小二乘估计的精度,以后Styan^[2],Rao^[3]等相继讨论了这种精度及其界限.本文考虑采用广义方差,从而引进了一种新的最小二乘估计精度的度量并讨论了它的界.
- 精度 /
- 相对效率 /
- 均方误差 /
- 广义方差 /
- 矩阵微商 /
- 最佳线性无偏估计
Abstract: It was suggested by Pantanen^[1] that the mean squared error may be used to measure the inefficiency of the least squares estimator.Styan^[2] and Rao^[3] et al.discussed this inefficiency and it's bound later.In this paper we propose a new inefficiency of the least squares estimator with the measure of generalized variance and obtain its bound.
- inefficiency /
- relative efficiency /
- mean squared error /
- generalized variance /
- matrix derivative /
- best linear unbased estimator

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