Maximal Inequalities and Empirical Central Limit Theorems

Jérôme Dedecker, Sana Louhichi · Birkhäuser Boston eBooks · 2002

This work presents some recent developments concerning empirical central limit theorems for dependent sequences. We try to give general conditions under which an adaptive truncation in the chaining procedure works. We show that these conditions are satisfied for a large class of mixing processes satisfying suitable moment inequalities. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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