A new class of spatial covariance functions generated by higher-order kernels

11/12/2021

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by   Mohammad Ghorbani, et al.

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Covariance functions and variograms play a fundamental role in exploratory analysis and statistical modelling of spatial and spatio-temporal datasets. In this paper, we construct a new class of spatial covariance functions using the Fourier transform of some higher-order kernels. Further, we extend this class of the spatial covariance functions to the spatio-temporal setting by using the idea used in Ma (2003).