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On regularity conditions for random fields


Author: Richard C. Bradley
Journal: Proc. Amer. Math. Soc. 121 (1994), 593-598
MSC: Primary 60G60; Secondary 28D15, 60G25
DOI: https://doi.org/10.1090/S0002-9939-1994-1219721-3
MathSciNet review: 1219721
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Abstract: Indexed by the integer lattice of dimension at least two, there exists a nondegenerate strictly stationary random field which is one-dependent with respect to "lattice-halfspaces" but which is also measurable with respect to its own tail sigma-field.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1994-1219721-3
Keywords: One-dependent, deterministic, strictly stationary random field
Article copyright: © Copyright 1994 American Mathematical Society

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