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An invariance principle for associated random fields

Robert O. BurtonOREGON STATE UNIVERSITY CORVALLIS, OR 97331 AND WON KWANG UNIVERSITY IRI CITY, REPUBLIC OF KOREATaesung KimOREGON STATE UNIVERSITY CORVALLIS, OR 97331 AND WON KWANG UNIVERSITY IRI CITY, REPUBLIC OF KOREA
1988en
ABI

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Applying known tightness criteria to Poisson cluster random measures, it is shown that if the total member size has a finite 2 + moment, then the random measure satisfies an invariance principle.

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