Semiparametric Spatio-temporal Covariance Models with the Arma Temporal Margin
نویسنده
چکیده
There is a great demand for statist ical modeling of phenomena tha t evolve in bo th space and time. Practical examples are those in Haslett and Raf tery (1989), Handcock and Wallis (1994), Cressie and Huang (1999), Brix and Diggle (2001), Stroud et al. (2001), De Iaco et al. (2002), Gneit ing (2002), and Hartfield and Gunst (2003), to mention but a few. Two commonly used tools to describe the space-time interaction and dependence are the covariance function and variogram, a wide variety of which are demanded for the practical use. The aim of this paper is to introduce a flexible class of spat iotemporal covariance models. For a real-valued random field Z(s ; t) defined over a spatial domain S and a temporal domain 7-, where S = N d or Z d, and 7= Z or R, we denote its covariance function by
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