Reducing non-stationary random fields to stationarity and isotropy using a space deformation
Recently, a model for non-stationary random field , n[greater-or-equal, slanted]2} has been developed. This consists of reducing Z to stationarity and isotropy via a bijective bi-differentiable deformation [Phi] of the index space. We give the form of this deformation under smoothness assumptions on the correlation of Z.
Year of publication: |
2000
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Authors: | Perrin, Olivier ; Senoussi, Rachid |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 48.2000, 1, p. 23-32
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Publisher: |
Elsevier |
Keywords: | Correlation function Stationary reducibility Stationary and isotropic reducibility Weak stationarity |
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