Abstract
We formulate, in terms of correlation functions, sufficient conditions for the applicability of the strong law of large numbers to random fields, homogeneous in the wide sense. We consider averages over spheres with center at the coordinate origin and also over rectangular parallelepipeds.
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Yurinskii, V.V. The strong law of large numbers for homogeneous random fields. Mathematical Notes of the Academy of Sciences of the USSR 16, 668–673 (1974). https://doi.org/10.1007/BF01098824
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DOI: https://doi.org/10.1007/BF01098824