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Estimation on principal component of multi-collinearity Gauss-Markov model based on minimum description length

Estimation on principal component of multi-collinearity Gauss-Markov model based on minimum description length
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摘要 Gauss-Markov model is frequently used in data analysis; the analysis and estimation of its parameters is always a hot issue. Based on the information theory and from the viewpoint of optimal information on description—minimum description length, this paper discusses a case: where there is multi-collinearity in the coefficient matrix, principal component estimation is used to estimate and select the original parameters, so as to reduce its multi-collinearity and improve its credibility. From the viewpoint of minimum description length, this paper discusses the approach of selecting principal components and uses this approach to solve a practical problem. Gauss-Markov model is frequently used in data analysis; the analysis and estimation of its parameters is always a hot issue. Based on the information theory and from the viewpoint of optimal information on description—minimum description length, this paper discusses a case: where there is multi-collinearity in the coefficient matrix, principal component estimation is used to estimate and select the original parameters, so as to reduce its multi-collinearity and improve its credibility. From the viewpoint of minimum description length, this paper discusses the approach of selecting principal components and uses this approach to solve a practical problem.
出处 《中国有色金属学会会刊:英文版》 CSCD 2005年第S1期153-155,共3页 Transactions of Nonferrous Metals Society of China
基金 Project(40074001) supported by National Natural Science Foundation of China Project (SD2003 -10) supported by the Open ResearchFund Programof the Key Laboratory of Geomatics and Digital Technilogy ,Shandong Province
关键词 minimum DESCRIPTION LENGTH Gauss-Markov MODEL multi-collinearity principal COMPONENT ESTIMATION minimum description length Gauss-Markov model multi-collinearity principal component estimation
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