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27 April 2024
 
  » arxiv » math.ST/0412267

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Empirical processes of dependent random variables
Wei Biao Wu ;
Date 14 Dec 2004
Subject Statistics; Probability MSC-class: 60F05; 60F17; 60G42 | math.ST math.PR
AbstractEmpirical 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.
Source arXiv, math.ST/0412267
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