正则化解的单位权方差无偏估计公式

基金项目: 上海市教委局管基金资助项目(01JG050348);教育部留学回国人员基金资助项目;中国科学院动力大地测量学开放实验室研究基金资助项目(L21-(01))

详细信息

Unbiased Estimation Formula of Unit Weight Mean Square Error in Regularization Solution

Department of Surveying and Geoinformatics, Tongji University, 1239 Siping Road, Shanghai, China, 200092

摘要: 导出了正则化解的单位权方差无偏估计公式,并用第一类Fredholm积分方程这一典型的病态方程作算例验证了导出单位权方差无偏估计公式是正确的,可以用于正则化解的单位权方差估计。
- 正则化解 /
- 单位权方差 /
- 无偏估计
Abstract: Regularization method is an effective method in solving ill-posed equation.In this paper the unbiased estimation formula of unit weight mean square error in the regularization solution is derived and the formula is verified with numerical test of 1 000 sample data by use of the typical ill-posed equation,i.e.the Fredholm integration equation of the first kind.
- regularization solution /
- mean square of unit weight /
- unbiased estimation