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相依回归系统的主成分改进估计
引用本文:安军. 相依回归系统的主成分改进估计[J]. 武汉大学学报(理学版), 1996, 0(3)
作者姓名:安军
作者单位:武汉大学数学系!武汉430072
摘    要:对两个相依方程组成的回归系统,当设计矩阵呈病态时,提出了回归系数的一个主成分估计β_1**(k)及其相应的两步估计β_1**(k,T),并在均方误差意义下研究了它们的优良性质。

关 键 词:最小二乘估计  主成分估计  均方误差

THE IMPROVED PRINCIPAL COMPONENTS ESTIMATE IN SEEMINGLY UNRELATED REGRESSION SYSTEM
An Jun. THE IMPROVED PRINCIPAL COMPONENTS ESTIMATE IN SEEMINGLY UNRELATED REGRESSION SYSTEM[J]. JOurnal of Wuhan University:Natural Science Edition, 1996, 0(3)
Authors:An Jun
Abstract:For a seemingly unrelated regression system consisting of two equations, in this paper, both a kind of improved principal components estimate and its two-stage estimate are proposed and their optimal properties are respectively discussed in the sense of mean squared error (MSE).
Keywords:least squares estimate (LSE)   principal components estimate  mean squared error (MSE)
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