:   . ., . .
:  
:  54
:  
:  2015
:   . ., . . / . 54. .: , 2015. .45-65.
:   , , , , , eps^betta-
(.):  orthonormal basis, stochastic recovery of function, unbiasedness, consistency, optimal non-parametric estimation, eps^1/2optimal estimation
:   . , . , eps^1/2- .
(.):  The aim of the article is to construct a solution for the problem of the optimal recovery (in the mean-square sense) of a measurable square-integrable (with respect to the Lebesgue measure) function defined on a finite-dimensional compact set. We prove optimal recovery procedure and establish conditions of its unbiasedness and consistency. Furthermore, an eps^1/2-optimal stochastic recovery procedure is proposed and proved.

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: 3534, : 1213, : 7.


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