A strong mixing condition for second-order stationary random fields
Studia Mathematica, Tome 101 (1991) no. 2, pp. 139-153
Cet article a éte moissonné depuis 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 $ℳ(R_N)$.
Keywords:
stationary random field, prediction theory, strong mixing
Affiliations des auteurs :
Raymond Cheng 1
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author = {Raymond Cheng},
title = {A strong mixing condition for second-order stationary random fields},
journal = {Studia Mathematica},
pages = {139--153},
year = {1991},
volume = {101},
number = {2},
doi = {10.4064/sm-101-2-139-153},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-101-2-139-153/}
}
TY - JOUR AU - Raymond Cheng TI - A strong mixing condition for second-order stationary random fields JO - Studia Mathematica PY - 1991 SP - 139 EP - 153 VL - 101 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-101-2-139-153/ DO - 10.4064/sm-101-2-139-153 LA - en ID - 10_4064_sm_101_2_139_153 ER -
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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