ISSN:1009-5020 CN:42-1610/P

Unbiased estimation formula of unit weight standard deviation in regularization solution

Unbiased estimation formula of unit weight standard deviation in regularization solution

  • 摘要: Regularization method is an effective method for solving ill-posed equation. In this paper the unbiased estimation formula of unit weight standard deviation in the regularization solution is derived and the formula is verified with numerical case of 1 000 sample data by use of the typical ill-posed equation, i. e. the Fredholm integration equation of the first kind.

     

    Abstract: Regularization method is an effective method for solving ill-posed equation. In this paper the unbiased estimation formula of unit weight standard deviation in the regularization solution is derived and the formula is verified with numerical case 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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