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Abstract:
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Intrinsic random functions (IRF) provide a versatile approach when the assumption of second-order stationarity is not met. Here, we develop the IRF theory on the sphere with its universal kriging application. Unlike IRF in Euclidean spaces, where differential operations are used to achieve stationarity, our result shows that frequency truncation of the spherical harmonics representation of the IRF is required for such processes on the sphere. All of these features and developments are presented through the theory of reproducing kernel Hilbert space.
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