A strong mixing condition for second-order stationary random fields

Cheng, Raymond

Cheng, Raymond

Studia Mathematica, Tome 103 (1992), p. 139-153 / Harvested from The Polish Digital Mathematics Library

Résumé

Let $X_{m n}$ be a second-order stationary random field on Z². Let ℳ(L) be the linear span of $X_{m n} : m \leq 0, n \in Z$ , and ℳ(RN) the linear span of $X_{m n} : m \geq N, n \in Z$ . Spectral criteria are given for the condition $l i m_{N \to \infty} c_{N} = 0$ , where $c_{N}$ is the cosine of the angle between ℳ(L) and $ℳ (R_{N})$ .

Publié le : 1992-01-01

Zbl 0809.60061

EUDML-ID : urn:eudml:doc:215897

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     author = {Raymond Cheng},
     title = {A strong mixing condition for second-order stationary random fields},
     journal = {Studia Mathematica},
     volume = {103},
     year = {1992},
     pages = {139-153},
     zbl = {0809.60061},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv101i2p139bwm}
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Cheng, Raymond. A strong mixing condition for second-order stationary random fields. Studia Mathematica, Tome 103 (1992) pp. 139-153. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv101i2p139bwm/

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