| 混合参数函数的Bayes二次无偏估计 |
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| 引用本文： | 黄养新. 混合参数函数的Bayes二次无偏估计[J]. 武汉理工大学学报, 1992, 0(2) |
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| 作者姓名： | 黄养新 |
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| 作者单位： | 武汉工业大学教学物理系 |
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| 摘 要： | 本文研究了方差分量模型中均值的线性式、二次式及方差分量的线性式之和的估计,得到了Bayes二次无偏估计(BQUE)存在的充要条件,并给出了计算方法;利用BQUE,我们获得了局部最小方差无偏估计(LMVUE)和一致最小方差无偏估计(UMVUE)存在的充要条件。
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| 关 键 词： | 方差分量 均值 最小方差 Bayes二次无偏估计 |
Bayes Quadratic Unbiased Estimator for Med Parametric Function |
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| Huang Yangxin Dept. of Mathematics , Physics,Wuhan University of Technology. Bayes Quadratic Unbiased Estimator for Med Parametric Function[J]. Journal of Wuhan University of Technology, 1992, 0(2) |
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| Authors: | Huang Yangxin Dept. of Mathematics & Physics Wuhan University of Technology |
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| Abstract: | In variance component models, the problem of the estimation of sum of linear formand quadratic form of mean parameters and linear form of variance components is considered. Thenecessary and sufficient dondition for the existance of Bayes quadratic unbiased estimator (BQUE) is investigated ,and the calculating method is derived; Using BQUE, locally minimum variance unbiasedestimator (LMVUE) and uniformly minimum variance unbiased estimator (UMVUE) are shown. |
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| Keywords: | variance component mean parameters minimum variance Bayes quadratic unbiased estimator |
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