Optimal Spatial Sampling Design in a Multivariate Framework |
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Authors: | M C Bueso J M Angulo J Cruz-Sanjulián and J L García-Aróstegui |
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Institution: | (1) Departamento de Estadística e Investigación Operativa, Universidad de Granada, Campus de Fuente Nueva s/n, E-18071 Granada, Spain;(2) Universidad de Granada, E-18071 Granada, Spain |
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Abstract: | The problem of spatial sampling design for estimating a multivariate random field from information obtained by sampling related variables is considered. A formulation assigning different degrees of importance to the variables and locations involved is introduced. Adopting an entropy-based approach, an objective function is defined as a linear combination in terms of the amount of information on the variables and/or the locations of interest contained in the data. In the multivariate Gaussian case, the objective function is obtained as a geometric mean of conditional covariance matrices. The effect of varying the degrees of importance for the variables and/or the locations of interest is illustrated in some numerical examples. |
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Keywords: | amount of information Shannon's entropy state-space model |
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