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Lookup NU author(s): Professor Emilio Porcu
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Problems related to weather forecast, forest attributes estimation and prediction, disease propagation, among others, are commonly approximated in the framework of multivariate Gaussian random field modeling. This paper deals with the equivalence condition of two zero-mean Gaussian infinite-dimensional vector measures defined on the finite product of separable Hilbert spaces. In particular, sufficient conditions are provided. The results derived are applied to obtain the equivalence of Gaussian measures associated with two stationary zero-mean Gaussian vector random fields. Classical problems related to, for example, asymptotic properties of maximum likelihood vector Gaussian random field parameter estimators from tapered multivariate covariance functions, often arising in Multivariate Geostatistics, can be solved as direct application of the results derived.
Author(s): Ruiz-Medina MD, Porcu E
Publication type: Article
Publication status: Published
Journal: Stochastic Environmental Research and Risk Assessment
Year: 2015
Volume: 29
Issue: 2
Pages: 325-334
Print publication date: 01/02/2015
Online publication date: 08/08/2014
Acceptance date: 08/07/2014
ISSN (print): 1436-3240
ISSN (electronic): 1436-3259
Publisher: Springer
URL: https://doi.org/10.1007/s00477-014-0926-z
DOI: 10.1007/s00477-014-0926-z
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