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Reducing non-stationary random fields to stationarity and isotropy using a space deformation

✍ Scribed by Olivier Perrin; Rachid Senoussi

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 107 KB
Volume: 48
Category: Article
ISSN: 0167-7152
DOI: 10.1016/s0167-7152(99)00188-1

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✦ Synopsis

Recently, a model for non-stationary random ÿeld Z = {Z(x): x ∈ R n , n¿2} has been developed. This consists of reducing Z to stationarity and isotropy via a bijective bi-di erentiable deformation of the index space. We give the form of this deformation under smoothness assumptions on the correlation of Z.

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Reducing non-stationary stochastic processes to stationarity by a time deformation

✍ Olivier Perrin; Rachid Senoussi 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 79 KB

A necessary and su cient condition is given to reduce a non-stationary random process {Z(t): t ∈ T ⊆ R} to stationarity via a bijective di erentiable time deformation so that its correlation function r(t; t ) depends only on the di erence (t ) -(t) through a stationary correlation function R: r(t; t