Empirical processes of dependent random variables

Details Empirical processes of dependent random variables Empirical processes of dependent random variables

2004-12-14

arxiv.org/abs/math/0412267v1

Mathematics

Statistics Theory

46 pages

Scientific paper

Empirical processes for stationary, causal sequences are considered. We
establish empirical central limit theorems for classes of indicators of left
half lines, absolutely continuous functions and piecewise differentiable
functions. Sample path properties of empirical distribution functions are also
discussed. The results are applied to linear processes and Markov chains.

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