On the renewal of a Wiener field on a plane with the use of its values on closed curves (Q2739629)
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scientific article; zbMATH DE number 1646113
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the renewal of a Wiener field on a plane with the use of its values on closed curves |
scientific article; zbMATH DE number 1646113 |
Statements
13 September 2001
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Wiener field
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least square estimate
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On the renewal of a Wiener field on a plane with the use of its values on closed curves (English)
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Let \(w(x,y)\), \(x\geq 0\), \(y\geq 0\), be a Wiener field and let \(\gamma\) be a closed curve on a plane. The author constructs the least square estimate of the value \(w(u,v)\), \((u,v)\not\in\gamma\), from observations of \(w(x,y),(x,y)\in\gamma\). Formulas for calculating the mean square error of this estimate are proposed.
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0.8934464454650879
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0.8667089343070984
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