| 基于偏差改正的病态模型Liu估计的单位权方差无偏估计 |
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| 引用本文： | 丁斌芬,安洁玉.基于偏差改正的病态模型Liu估计的单位权方差无偏估计[J].大地测量与地球动力学,2021,41(12):1249-1252. |
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| 作者姓名： | 丁斌芬 安洁玉 |
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| 作者单位： | 江西应用科技学院软件与区块链学院,南昌市联福大道1号,330100 |
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| 摘 要： | 对Liu估计残差偏差进行修正，并基于二次型的数学期望公式，利用偏差改正后的残差导出Liu估计解的近似无偏单位权方差估计式。2个算例分析结果表明，相比于传统基于有偏残差的单位权方差计算公式，本文公式计算的单位权方差与真值更为接近。
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| 关 键 词： | 病态模型 Liu估计 偏差改正 单位权方差 |
Bias-Corrected Estimation of Unit Weight Variance for Liu-Type Estimator of Ill-Posed Model |
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| DING Binfen,AN Jieyu.Bias-Corrected Estimation of Unit Weight Variance for Liu-Type Estimator of Ill-Posed Model[J].Journal of Geodesy and Geodynamics,2021,41(12):1249-1252. |
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| Authors: | DING Binfen AN Jieyu |
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| Abstract: | In this paper, we correct the deviation in the residual and derive the almost unbiased formula for calculating the unit weight variance for Liu-type estimator based on the quadratic mathematical expectation formula. The analysis results of two examples show that the unit weight variance computed by the formula of this paper is closer to the true value than that by traditional formula, which is based on the biased residual. |
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| Keywords: | ill-posed model Liu-type estimation bias correction unit weight variance |
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