Space–time analysis using a general product–sum model

By Iaco S De, Myers D E, P. D.. 2001

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Nonseparable Space-Time Covariance Models: Some Parametric Families (2002, unknown): “(k2 + k1Ct(0;a))Cs(0; a) = (k2+ k1) and (k3 + k1Cs(0; a))Ct(0;a) = (k3 + k1) are the sill values, respectively, ofγs,t(hs, 0) and γs,t(0, ht) (De Iaco, Myers, and Posa, 2001); then the relations betweenγs,t(hs, 0) andγs(hs; a), γs,t(0, ht), andγt(ht; a) are strictly linked to the functionφ.”
Space–Time Covariance Functions (2005, background): “Cressie and Huang (1999), de Iaco et al. (2001, 2002), and Gneiting (2002) have described approaches to generating nonseparable space–time covariance functions.”
On potentially negative space time covariances obtained as sum of products of marginal ones (2008, background): “De Iaco et al. (2001), with some algebraic manipulation, showed that model (4) can be rewritten as”
Statistical methods for regular monitoring data (2005, background): “…that have been suggested in recent works such as Christakos (1992, 2000), Jones and Zhang (1997), Cressie and Huang (1999), Brown et al. (2000), de Iaco et al. (2001, 2002, 2003), Gneiting (2002), Hartfield and Gunst (2003), Ma (2003), Kolovos et al. (2004) and Stein (2005), or at least versions…”
The Linear Coregionalization Model and the Product–Sum Space–Time Variogram (2003, methodology): “In particular the LCM is extended to space‐time applications, where the spatial‐temporal basic variograms are modeled as product‐sums ( De Iaco, Myers, and Posa, 2001a ).”