沈云中, 刘大杰. 正则化解的单位权方差无偏估计公式[J]. 武汉大学学报 ( 信息科学版), 2002, 27(6): 604-606,610.
引用本文: 沈云中, 刘大杰. 正则化解的单位权方差无偏估计公式[J]. 武汉大学学报 ( 信息科学版), 2002, 27(6): 604-606,610.
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SHEN Yunzhong, LIU Dajie. Unbiased Estimation Formula of Unit Weight Mean Square Error in Regularization Solution[J]. Geomatics and Information Science of Wuhan University, 2002, 27(6): 604-606,610.
Citation: SHEN Yunzhong, LIU Dajie. Unbiased Estimation Formula of Unit Weight Mean Square Error in Regularization Solution[J]. Geomatics and Information Science of Wuhan University, 2002, 27(6): 604-606,610.
shu

正则化解的单位权方差无偏估计公式

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

    摘要
  • 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。

     

    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.

     

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