Geodesic
A strong mixing condition for second-order stationary random fields
Studia Mathematica, Tome 101 (1991) no. 2, pp. 139-153

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let ${X_{mn}}$ be a second-order stationary random field on Z². Let ℳ(L) be the linear span of ${X_{mn}: m ≤ 0, n ∈ Z}$, and ℳ(R_N) the linear span of ${X_{mn}: m ≥ N, n ∈ Z}$. Spectral criteria are given for the condition $lim_{N→∞} c_N = 0$, where $c_N$ is the cosine of the angle between ℳ(L) and $ℳ(R_N)$.
DOI : 10.4064/sm-101-2-139-153
Keywords: stationary random field, prediction theory, strong mixing

Raymond Cheng 1

1 
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Raymond Cheng. A strong mixing condition for second-order stationary random fields. Studia Mathematica, Tome 101 (1991) no. 2, pp. 139-153. doi: 10.4064/sm-101-2-139-153

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