Spatial and Space-Time Processes

摘要: 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 regular lattice (see, e.g. Whittle Biometrika 49:305–314, 1962; Bartlett Adv. Appl. Prob. 6(2):336–358, 1974; Besag J. R. Stat. Soc., Ser. B 36(2):192–236, Cressie Statistics for spatial data, 1993; Christakos Random field models Earth sciences, 1992; Modern spatiotemporal geostatistics, 2000; Benson et al. Water Resour. Res. 42(W01415):1–18, 2006; Sain and Econom. 140(1):226–259, 2007, references therein). This leads considering processes grid, or more specifically, random fields X t with index \(t\in\mathbb{Z}^{2}\). On the other hand, if points not then \(t\in\mathbb{R}^{2}\) used.