Ango Nze, Patrick; Doukhan, Paul Weak dependence: Models and applications. (English) Zbl 1030.60016 Dehling, Herold (ed.) et al., Empirical process techniques for dependent data. Boston, MA: Birkhäuser. 117-136 (2002). This paper aims at a systematic introduction to a new weak dependence condition. The new dependence condition gives access to some classes of models which could not be studied by standard tools such as mixing. The authors also show that some standard models satisfy this property, including stationary Markov models, bilinear models, and more generally, Bernoulli shifts. In addition, the new dependence condition is applied to derive a weak Donsker invariance principle and the empirical CLT.For the entire collection see [Zbl 1005.00016]. Reviewer: Zdzisław Rychlik (Lublin) Cited in 4 Documents MSC: 60F05 Central limit and other weak theorems 62G07 Density estimation Keywords:weak dependence; Donsker invariance principle; empirical central limit theorem PDFBibTeX XMLCite \textit{P. Ango Nze} and \textit{P. Doukhan}, in: Empirical process techniques for dependent data. Boston, MA: Birkhäuser. 117--136 (2002; Zbl 1030.60016)