We prove that they are identical in the class of homogenous linear estimates, and get a necessary ann sufficient condition for their common admissible estimate. 并在较特殊的多元线性模型下,证明了这六种容许性在齐次线性估计类中是一致的,且得到了其共同的可容许估计的充要条件;
The Linear Admissible Minimax Estimate of Regression Coefficient in Growth Curve Model Admissible Estimate of Mean Matrix 增长曲线模型中系数矩阵的线性容许Minimax估计
Non-homogeneous quadratic form admissible estimate for error variance: curve growth model with common mean 误差方差的非齐次二次型容许估计&具有共同均值的增长曲线模型
Discussing such question as the parameter ridge estimation in general Gauss-Markov and basing on the mean square error matrix the article proves that generalized ridge estimation is an admissible estimate in generalized ridge estimation. 讨论一般Gauss-Markov模型中参数岭估计的有关问题,并在均方误差矩阵意义下,证明了一般岭估计在线性估计类中是否容许估计。
The estimate for error variance in two classes of growth curve model& the Quadratic Admissible Estimate 两类增长曲线模型误差方差估计&二次型容许估计
Equivalent of Admissible Linear Estimate of Regression Coefficients in the General Growth Curve Model for Various Standards 多种标准下生长曲线模型回归系数可容许线性估计的等价性
Furthermore, ridge estimate is given, it is shown that ridge estimate is uniformly superior to is estimate of error variance and is admissible estimate under the suitable condition. 进一步,讨论了误差方差的岭估计及其优良性,证明了它是误差方差的可容许估计。