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Invariance principle for associated random fields (1996)

Bulinski, A. V. ; Keane, M. S.

Springer

Journal of mathematical sciences 81 (1996), S. 2905-2911

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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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