Spatial autoregressive and moving average Hilbertian processes

Since the initial work on spatial statistical models developed in Bhattacharyya, Khalil and Richardson (1996), Basu and Reinsel (1993), Güyon (1995), Martin (1979, 1990, 1996), Jain (1981), Tjostheim (1978, 1981, 1983), among others, the spatial series modeling framework has been widely considered in several applied fields such as geology, geophysics, biology, agriculture, spatial econometrics, image processing, etc. High dimensional statistics (see Bosq and Blanke, 2007) has been essentially developed in the context of functional temporal data, i.e., when data are curves or temporal sequences of curves, surfaces, etc. (see, for instance, Bosq, 2000; Ferraty and Vieu, 2006, Ruiz-Medina and Salmerón, 2010; Ruiz-Medina, Salmerón and Angulo, 2007, and Salmerón and Ruiz-Medina, 2009). The functional counterpart of the spatial series modeling framework is considered in this work for

• Type: Journal
• Year: 2011
• Where: MA
• Authors: María Dolores Ruiz-Medina
• Keywords: Communications, MA 2011, Series Modeling Framework, Spatial Series Modeling, Spatial Statistical Models