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Ukrainian Mathematical Journal

, Volume 51, Issue 6, pp 827–836 | Cite as

On the renewal of a Wiener field on a plane with the use of its values on closed curves

  • T. V. Zemlyak
Article
  • 11 Downloads

Abstract

Forw(u, v), (u, v)∉ γ (here,w(x, y), x≥0, y≥0, is a Wiener field and γ is a certain closed curve on a plane), we construct the best mean-square estimate on the basis of the values ofw(x, y) for (x, y)∈ γ. We also calculate the error of this estimate.

Keywords

Gaussian Process Normal Correlation Closed Curve Explicit Relation Wiener Integral 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic/Plenum Publishers 2000

Authors and Affiliations

  • T. V. Zemlyak

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