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• W3088756206 abstract "In this paper, we focus on isotropic and stationary sphere-cross-time random fields. We first introduce the class of spherical functional autoregressive-moving average processes (SPHARMA), which extend in a natural way the spherical functional autoregressions (SPHAR) recently studied in [8, 7]; more importantly, we then show that SPHAR and SPHARMA processes of sufficiently large order can be exploited to approximate every isotropic and stationary sphere-cross-time random field, thus generalizing to this infinite-dimensional framework some classical results on real-valued stationary processes. Further characterizations in terms of functional spectral representation theorems and Wold-like decompositions are also established." @default.
• W3088756206 created "2020-10-01" @default.
• W3088756206 creator A5045942131 @default.
• W3088756206 date "2020-09-28" @default.
• W3088756206 modified "2023-09-27" @default.
• W3088756206 title "SPHARMA approximations for stationary functional time series on the sphere" @default.
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• W3088756206 hasPublicationYear "2020" @default.
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