Terdik, György H. Spatiotemporal covariance functions for Laplacian ARMA fields in higher dimensions. (English) Zbl 07618875 Theory Probab. Math. Stat. 107, 111-132 (2022). Summary: This paper presents clear formulae of the covariance functions of Laplacian ARMA fields in terms of coefficients and Bessel functions in higher spatial dimensions. Spectral methods are used for the study of spatiotemporal Laplacian ARMA fields in Euclidean spaces and spheres therein with dimension \(d\geq 2\). MSC: 62-XX Statistics Keywords:isotropy; homogeneity; stationarity; space-time interaction; spectral density; Whittle-Matérn model; Laplacian ARMA fields in higher spatial dimensions; random fields on sphere Software:DLMF; rcosmo PDFBibTeX XMLCite \textit{G. H. Terdik}, Theory Probab. Math. Stat. 107, 111--132 (2022; Zbl 07618875) Full Text: DOI References: [1] R. 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