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On Bayes linear unbiased estimation of estimable functions for the singular linear model 被引量:3

On Bayes linear unbiased estimation of estimable functions for the singular linear model
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摘要 The unique Bayes linear unbiased estimator (Bayes LUE) of estimable functions is derived for the singular linear model. The superiority of Bayes LUE over ordinary best linear unbiased estimator is investigated under mean square error matrix (MSEM)criterion. The unique Bayes linear unbiased estimator (Bayes LUE) of estimable functions is derived for the singular linear model. The superiority of Bayes LUE over ordinary best linear unbiased estimator is investigated under mean square error matrix (MSEM) criterion.
出处 《Science China Mathematics》 SCIE 2005年第7期898-903,共6页 中国科学:数学(英文版)
基金 This work was supported by the Doctoral Program Foundation of the Institute of High Education the Special Foundation of Chinese Academy of Sciences.
关键词 SINGULAR LINEAR model BAYES LUE best LINEAR UNBIASED estimator MSEM criterion. singular linear model, Bayes LUE, best linear unbiased estimator, MSEM criterion.
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参考文献3

  • 1Bao-Xue Zhang,Bai-Sen Liu.Some further remarks on a superiority problem in misspecified restricted singular linear models[J].Metrika.2000(2)
  • 2Searle,S. R.Extending some results, proofs for the singular linear model, Linear Algebra[].Appliance.1994
  • 3Albert,A.The Gauss-Markov Theorem for regression model with possibly singular covariances, SIAM[].Journal of Applied Mathematics.1973

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