| 模型参数估计的优效性 |
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| 引用本文： | 周世键,陈永奇.模型参数估计的优效性[J].测绘工程,1995(2). |
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| 作者姓名： | 周世键 陈永奇 |
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| 作者单位： | 华东地质学院
(周世键)，香港理工大学(陈永奇) |
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| 摘 要： | 本文根据多参数的R-C不等式和优效计量定理,得到了函数模型和随机模型参数估计的方差下界公式。函数模型的参数估计是优效估计量,但随机模型的参数估计即方差分量估计不是优效估计量;作为特例,单位权方差的估计是优效估计量,同时证明了函数模型和随机模型参数估计的不相关性。
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| 关 键 词： | 模型 参数估计 优效性 方差下界 R-C 不等式 |
The Superior Efficiency for Estimation of the Model Parameters |
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| Zhou Shijian Chen Yongqi.The Superior Efficiency for Estimation of the Model Parameters[J].Engineering of Surveying and Mapping,1995(2). |
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| Authors: | Zhou Shijian Chen Yongqi |
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| Abstract: | Based on the R-C unequality of multi-parameters and the theorem of the superior efficiency estimation, the formulae of the variance inferior boundary for the estimation of functional model and stochastic model parameters are derived in the paper. The estimations of the functional model parameters are the superior efficiency estimations but the estimations of the stochastic model parameteters. i. e. the estimations of variance component are not the superior efficiency estimation; the estimation of the unit weight variance is a superior efficiency estimation in a special case; and provfed that the relationships between the estimation of functional model parameters and stochastic model parameters are mutual independency. |
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| Keywords: | Model Parameter Estimation The superior efficiency R-C unequality The variance inferior boundary |
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