Helmert-WF(权因子)方差分量估计

The Method of Helmert-Weight Factor of Variance Component Estimation

  • 摘要: 本文利用权因子(Weight Factor)概念阐述了Helmert-WF方差分量估计的原理,并给出了其相应的计算公式及其解域与可估的条件。文中从数学分析的观点指出了负方差存在的可能性及原因,而且还就Helmert-WF法与Helmert法的异同作了比较,指出了Helmert法中的某些缺陷与不足。算例对所给结论作了很好的印证。

     

    Abstract: This paper gives the method of Helmert-Weight Factor of Variance Component Estimation, and then, the formula, the condition that can be estimated are given too. In the view of mathematical analysis, it is possible that the negative variance exists and why it exists. In the same time, comparing the method of Helmert-WF with that of Helmert, the defect of Helmert method is pointed by a special mode. Given examples show the conclusions are correct.

     

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