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ROBUST RECONSTRUCTION OF FUNCTIONS BY THE LOCAL-APPROXIMATION METHOD.

Research output: Contribution to journalArticlepeer-review

Abstract

The author considers a local approximation method for reconstruction of functions on the basis of observation of their values in noise. Consistency conditions for the estimates of the local approximation are given, and their rate of convergence is established. The asymptotic distribution of the estimates is determined, and it is shown that they possess the property of being robust.

Original languageEnglish
Pages (from-to)133-146
Number of pages14
JournalProblems of Information Transmission
Volume22
Issue number2
Publication statusPublished - 1 Apr 1986

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