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On the invariance principle for exchangeable random variables
Authors:Tien-Chung Hu  N. C. Weber
Affiliation:(1) Department of Mathematics, National Tsing-Hua University, Hsinchu, Taiwan;(2) School of Mathematics and Statistics, The University of Sydney, 2006, N.S.W., Australia
Abstract:Summary Weak limit results for exchangeable arrays can be obtained via a martingale approach. This note explains why the conditions in the general martingale results simplify to ones on the fulln sum in the case of exchangeable random variables. Part of the work was completed while visiting the Department of Statistics, University of North Carolina, Chapel Hill.
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