Non‐stationary Cross‐Covariance Models for Multivariate Processes on a Globe

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Spatio-Temporal Covariance and Cross-Covariance Functions of the Great Circle Distance on a Sphere (2016, background): “There is a very sparse literature on cross-covariance functions associated with vectorvalued random fields defined over the sphere, with the work of Jun (2011) being an exception, albeit with the chordal distance again and not the great circle.”
Excursion probability of Gaussian random fields on sphere (2014, background): “For example, Jun and Stein [21,22], Huang, Zhang and Robeson [16], Jun [20], Hitczenko and Stein [15], Ma [24], Du, Ma and Li [9] and Gneiting [13] have constructed several classes of real or vector-valued random fields on spheres; Istas [17,18] has constructed spherical fractional Brownian motion (”