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Published online by Cambridge University Press: 22 January 2016
We shall consider the class of Gaussian random fields Xα = {X(A); A ∈ Rn } such that E{X(A) − X(B)} = 0 and E{(X(A) − X(B))2} = |A − B|α (0 < α < 2), where |A − B| denotes the Euclidean distance between two points A and B.