Martingale approximations for random fields
classification
🧮 math.PR
keywords
randomconditionsfieldsapplicationsapproximationapproximationscriteriafield
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In this paper we provide necessary and sufficient conditions for the mean square approximation of a random field with an ortho-martingale. The conditions are formulated in terms of projective criteria. Applications are given to linear and nonlinear random fields with independent innovations.
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