# A strong mixing condition for second-order stationary random fields

Studia Mathematica (1992)

- Volume: 101, Issue: 2, page 139-153
- ISSN: 0039-3223

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topCheng, Raymond. "A strong mixing condition for second-order stationary random fields." Studia Mathematica 101.2 (1992): 139-153. <http://eudml.org/doc/215897>.

@article{Cheng1992,

abstract = {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(RN) 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 $ℳ(R_N)$.},

author = {Cheng, Raymond},

journal = {Studia Mathematica},

keywords = {stationary random field; prediction theory; strong mixing; spectral criteria},

language = {eng},

number = {2},

pages = {139-153},

title = {A strong mixing condition for second-order stationary random fields},

url = {http://eudml.org/doc/215897},

volume = {101},

year = {1992},

}

TY - JOUR

AU - Cheng, Raymond

TI - A strong mixing condition for second-order stationary random fields

JO - Studia Mathematica

PY - 1992

VL - 101

IS - 2

SP - 139

EP - 153

AB - 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(RN) 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 $ℳ(R_N)$.

LA - eng

KW - stationary random field; prediction theory; strong mixing; spectral criteria

UR - http://eudml.org/doc/215897

ER -

## References

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