A strong mixing condition for second-order stationary random fields

• Autorzy: Raymond Cheng
• Języki publikacji: EN

Abstrakty

EN

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 $ℳ(R_N)$.

Słowa kluczowe

EN

stationary random field; prediction theory; strong mixing

Kategorie tematyczne

• 60G25: Prediction theory
• 60G60: Random fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1991-1992
• Tom: 101
• Numer: 2
• Strony: 139-153

Daty

wydano

1992

otrzymano

1990-04-02

poprawiono

1991-05-07

Twórcy

autor

Raymond Cheng

• Department of Mathematics, University of Louisville, Louisville, Kentucky 40292, U.S.A.

Bibliografia

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