Electronic Resource
Springer
Journal of mathematical sciences
81 (1996), S. 2905-2911
ISSN:
1573-8795
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In 1984, C. M. Newman posed the problem of proving the invariance principle in distribution for associated random fields (i. e., fields satisfying the so-called FKG-inequalities)X={Xj, j∈Zd} when d≥3. The solution of this problem for wide-sense stationary associated random fields is obtained here under slightly more restrictive conditions than those used by C. M. Newman and A. L. Wright for the strictly stationary case where d=1 and d=2.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02362501
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