An invariance principle for associated random fields

Robert Main Burton, Jr. and Tae-Sung Kim

Vol. 132 (1988), No. 1, 11–19

DOI: 10.2140/pjm.1988.132.11

Abstract

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

Mathematical Subject Classification 2000

Primary: 60G57

Secondary: 60F17

Milestones

Received: 31 July 1986

Revised: 12 May 1987

Published: 1 March 1988