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Extrapolation Problem for Continuous Time Periodically Correlated Isotropic Random Fields
Bulletin of Mathematical Sciences and Applications
The problem of optimal linear estimation of functionals depending on the unknown values of a random field ζ (t, x), which is mean-square continuous periodically correlated with respect to time argument t є R and isotropic on the unit sphere Sn with respect to spatial argument x є Sn. Estimates are based on observations of the field ζ (t, x) + Θ (t, x) at points (t, x) : t < 0; x є Sn, where Θ (t, x) is an uncorrelated with ζ (t, x) random field, which is mean-square continuous periodicallydoi:10.18052/www.scipress.com/bmsa.19.1 fatcat:hzjzziummfeidg7aj2tolox6fy