Author: Y. Choi 1
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  • 1 Gyeongsang National University Department of Mathematics and RINS Jinju 660-701 Korea
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Abstract  

This paper establishes the general moduli of continuity for l-valued Gaussian random fields {X(t):= (X1(t),X2(t), h.), t ∈ [0, ∞)N} indexed by the N-dimensional parameter t:= (t1,…,tN), under the explicit condition yielding that the covariance function of distinct increments of Xk(t) for fixed k ≧ 1 is positive or nonpositive.

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