变二次估计为线性估计的拉直变换法

基金项目: 国家测绘局"八五"重点科技攻关资助项目。

详细信息

The Method of Changing Quadratic Estimation into Linear Estimation

Institute of Earth Science and Survey Engineering, WTUSM, Luoyu Road 39, Wuhan, China, 430070

摘要: 利用投影变换和拉直变换,得到了方差和协方差估计的一种新模型——线性模型。该模型将方差和协方差分量的二次估计问题变为我们所熟知的线性估计问题。本文介绍了该方法的原理,证明了估计量θ的统计性质。
- 拉直变换 /
- 方差和协方差分量估计 /
- 线性模型
Abstract: This paper presents a new model of variance and covariance components estimation by applied projective transformation and representation of matrices by vectors. The method changes the quadratic estimation of varisnce and covarisnce components into the linear model.Some statistical characters of the estimate have been proved.
- representation of matrices by vectors /
- variance and covariance components estimation /
- linear model