Association for More Than Two Processes

Ronny Vallejos (), Felipe Osorio () and Moreno Bevilacqua
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Ronny Vallejos: Federico Santa María Technical University, Department of Mathematics
Felipe Osorio: Federico Santa María Technical University, Department of Mathematics
Moreno Bevilacqua: Universidad Adolfo Ibañez, Faculty of Engineering and Sciences

Chapter Chapter 7 in Spatial Relationships Between Two Georeferenced Variables, 2020, pp 131-144 from Springer

Abstract: Abstract Addressing the spatial association between three or more processes is a challenging problem. Here, similarly as in the previous chapters we focus our attention in a continuous multivariate process with more than two components. Although motivation could be theoretical, there are several applications in the context of image processing. For instance, one could be interested in reducing the dimensionality of the spectral bands associated with a multispectral satellite image. Such dimensionality might be addressed considering the level of association among the image bands. In this chapter instead of working with the covariance function, this problem will be tackled considering a measure of the association between the processes that is an extension of the codispersion coefficient. As a consequence, we introduce a supervised maximum likelihood method of image classification, based on the selected image bands. An application with a real LANDSAT image will be used for illustrative purposes.

Date: 2020
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DOI: 10.1007/978-3-030-56681-4_7

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