引用本文: 陶本藻, 刘大杰. 参数估计的统一模型——广义Gauss-Markov模型[J]. 武汉大学学报 ( 信息科学版), 1990, 15(4): 76-84.
Tao Benzao, Liu Dajie. On the Uniformity Model of the parameter Esfimation——the Generalized Gauss-Markov Model[J]. Geomatics and Information Science of Wuhan University, 1990, 15(4): 76-84.
 Citation: Tao Benzao, Liu Dajie. On the Uniformity Model of the parameter Esfimation——the Generalized Gauss-Markov Model[J]. Geomatics and Information Science of Wuhan University, 1990, 15(4): 76-84.

## On the Uniformity Model of the parameter Esfimation——the Generalized Gauss-Markov Model

• 摘要: 设计矩阵可以是秩亏阵,观测值的协方差阵可以是奇异阵的广义Gauss-Markov模型(简称广义G-M模型),它是一种形式简单的统一模型。本文从最小二乘估计VTQ-V=min出发,研究广义G-M模型的参数估计理论和方法。说明了VTQV-=min与Rao及Bjeharmmar等的平差原则一致。并对广义G-M模型之解及其性质进行了系统讨论。

Abstract: The design matrix may be a rank-defect matrix and the co-variance matrix of the observations may be the singular matrix,this generalized Gauss-Markov model is a uniformity model with simple form.Based on the principle of the Least-square estimation VTQ-V=min,this paper deals with the parameter estimation theory and method of the generalized G-M Model,explaines the coincidency of various adyustment rules such as VTQ-V=min and Rao and Bjeharmmar's.The paper discusses also the solution of the generalized G-M model and its charecters.

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