On regularity conditions for random fields

Bradley, Richard C.

doi:10.1090/S0002-9939-1994-1219721-3

On regularity conditions for random fields
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Proc. Amer. Math. Soc. 121 (1994), 593-598 Request permission

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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