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Erschienen in:
Definition of Long Memory Kapitel lesen Erstes Kapitel lesen

2013 | OriginalPaper | Buchkapitel

9. Spatial and Space-Time Processes

verfasst von : Jan Beran, Yuanhua Feng, Sucharita Ghosh, Rafal Kulik

Erschienen in: Long-Memory Processes

Verlag: Springer Berlin Heidelberg

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Abstract

Spatial data play an important role in many areas such as ecology, biology, environmental monitoring, agronomy, remote sensing, geology, to name a few. Sometimes observations are obtained on a regular lattice (see, e.g. Whittle in Biometrika 49:305–314, 1962; Bartlett in Adv. Appl. Prob. 6(2):336–358, 1974; Besag in J. R. Stat. Soc., Ser. B 36(2):192–236, 1974; Cressie in Statistics for spatial data, 1993; Christakos in Random field models in Earth sciences, 1992; Modern spatiotemporal geostatistics, 2000; Benson et al. in Water Resour. Res. 42(W01415):1–18, 2006; Sain and Cressie in J. Econom. 140(1):226–259, 2007, and references therein). This leads to considering spatial processes on a grid, or more specifically, random fields X t with index \(t\in\mathbb{Z}^{2}\). On the other hand, if the spatial points are not on a regular grid, then random fields with \(t\in\mathbb{R}^{2}\) are used.

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Metadaten
Titel
Spatial and Space-Time Processes
verfasst von
Jan Beran
Yuanhua Feng
Sucharita Ghosh
Rafal Kulik
Copyright-Jahr
2013
Verlag
Springer Berlin Heidelberg
Buch
Long-Memory Processes

Print ISBN: 978-3-642-35511-0

Electronic ISBN: 978-3-642-35512-7

Copyright-Jahr: 2013

DOI
https://doi.org/10.1007/978-3-642-35512-7_9

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