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Complex-Valued Random Fields for Vectorial Data: Estimating and Modeling Aspects

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Abstract

Complex-valued random fields represent a natural extension of real-valued random fields and can be useful for modeling vectorial data in two dimensions (i.e., a wind field). In such a case, some theoretical issues arise concerning generating and fitting complex covariance functions to be used for prediction purposes. In this paper, some general aspects and properties of complex-valued random fields are summarized and a procedure to fit complex stationary covariance functions is proposed. A case study for analyzing wind speed data is presented.

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Acknowledgements

The authors are grateful to Dr. Raimon Tolosana for his precious comments, the anonymous referees and the editor for their useful suggestions, which contributed to improvements in the paper.

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  1. Dip.to di Scienze Economiche e Matematico-Statistiche, Complesso Ecotekne, University of Salento, Via per Monteroni, 73100, Lecce, Italy

    S. De Iaco, D. Posa & M. Palma

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  1. S. De Iaco
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  2. D. Posa
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  3. M. Palma
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Correspondence to S. De Iaco.

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De Iaco, S., Posa, D. & Palma, M. Complex-Valued Random Fields for Vectorial Data: Estimating and Modeling Aspects. Math Geosci 45, 557–573 (2013). https://doi.org/10.1007/s11004-013-9468-z

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  • DOI: https://doi.org/10.1007/s11004-013-9468-z

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