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Uniform and nonuniform estimates in the CLT for Banach valued dependent random variables
A K BASU
Published in -
1988
Volume: 25
   
Issue: 2
Pages: 153 - 163
Abstract
A uniform estimate of the rate of convergence in the central limit theorem (CLT) in certain Banach spaces for dependent random variables is established when the Gaussian measure of the ε{lunate}-neighbourhood of the boundary of a set is proportional to ε{lunate} and the third order moment is finite in the strong sense. A uniform estimate in the CLT for Banach valued dependent random variables is carried out when the B-space is well behaved for a martingale transform. © 1988.
About the journal
JournalJournal of Multivariate Analysis
Publisher-
ISSN0047-259X
Open AccessYes