A uniform central limit theorem for dependent variables
Volume 36 / 2009
Applicationes Mathematicae 36 (2009), 129-138
MSC: 60B10, 60F05, 60G10, 62M10.
DOI: 10.4064/am36-2-1
Abstract
Niemiro and Zieliński (2007) have recently obtained uniform asymptotic normality for the Bernoulli scheme. This paper concerns a similar problem. We show the uniform central limit theorem for a sequence of stationary random variables.
