A NEW ESTIMATE OF REGRESSION COEFFICIENTS IN SEEMINGLY UNRELATED REGRESSION SYSTEM

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作者
王松桂
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[1] Department of Mathematics
[2] University of Science and Technology of
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<正> For a seemingly unrelated regression system consisting of m equations, the information contained in all the equations is divided into sample information and additional information, and a new estimate of the regression coefficients is proposed by using successive superposition. More precisely, the following three problems are solved: (ⅰ) a statistic summarized the additional information is constructed, (ⅱ) a procedure which superposes the additional information on the sample information and a new estimate of regression coefficients are proposed, (ⅲ) some properties of the new estimate are established.
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