On an estimation of an unknown mean of a homogeneous and isotropic random field observed in an annulus (Q2740438)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On an estimation of an unknown mean of a homogeneous and isotropic random field observed in an annulus |
scientific article; zbMATH DE number 1646744
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On an estimation of an unknown mean of a homogeneous and isotropic random field observed in an annulus |
scientific article; zbMATH DE number 1646744 |
Statements
16 September 2001
0 references
random field
0 references
mean-arithmetic estimation
0 references
spectral representation
0 references
On an estimation of an unknown mean of a homogeneous and isotropic random field observed in an annulus (English)
0 references
This note deals with the homogeneous and isotropic random field \(\xi(r,\varphi)=\alpha+\eta(r,\varphi)\) which is observed at points of the ring \(R_{1}\leq r\leq R_{2}.\) The arithmetic mean estimation is considered as an estimation of the unknown expectation of this field. To obtain the variance of this expectation the spectral representation of this field is used. Asymptotical behaviour of the variance of the arithmetic mean estimation by observations of the field in the ring is considered.
0 references
