MINIMAX ESTIMATION IN A DECONVOLUTION PROBLEM

被引：3

作者：

ERMAKOV, MS

机构：

[1] Sci. Res. Inst. of Phys., St. Petersburg Univ.

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1992年 / 25卷 / 05期

关键词：

D O I：

10.1088/0305-4470/25/5/030

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a convolution equation with the right-hand side known with a random noise. A priori information that the solution belongs to an ellipsoid in Hilbert space is given. We construct the minimax estimators of the convolution of the solution with a generalized function h. As an example the estimation problem of derivative of solution is studied.

引用

收藏

页码：1273 / 1282

页数：10

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