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Optimal linear prediction (aka.
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[author] Marinucci, DomenicoD. and Peccati, GiovanniG. (2011). Random Fields on the Sphere. London Mathematical Society Lecture Note Series 389. Cambridge University Press, Cambridge. \endbibitem
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[author] Berlinet, AlainA. and Thomas-Agnan, ChristineC. (2004). Reproducing Kernel Hilbert Spaces in Probability and Statistics. Kluwer Academic Publishers, Boston, MA. \endbibitem
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[author] Kirchner, KristinK. and Bolin, DavidD. Supplement to “Necessary and sufficient conditions for asymptotically optimal linear prediction of random fields on compact metric spaces”. DOI: 10.1214/XXX. \endbibitem
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[author] Guinness, JosephJ. and Fuentes, MontserratM. (2016). Isotropic covariance functions on spheres: some properties and modeling considerations. J. Multivariate Anal. 143 143–152. \endbibitem
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[author] Arafat, AhmedA., Porcu, EmilioE., Bevilacqua, MorenoM. and Mateu, JorgeJ. (2018). Equivalence and orthogonality of Gaussian measures on spheres. J. Multivariate Anal. 167 306–318. \endbibitem
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[author] Bevilacqua, MorenoM., Faouzi, TarikT., Furrer, ReinhardR. and Porcu, EmilioE. (2019). Estimation and prediction using generalized Wendland covariance functions under fixed domain asymptotics. Ann. Statist. 47 828–856. \endbibitem
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[author] Kukush, AlexanderA. (2019). Gaussian Measures in Hilbert Space: Construction and Properties. Mathematics and Statistics. ISTE Ltd, London. \endbibitem
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[author] Anderes, EthanE., Møller, JesperJ. and Rasmussen, Jakob G.J. G. (2020). Isotropic covariance functions on graphs and their edges. Ann. Statist. 48 2478–2503. \endbibitem
2020
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