Dedecker, Jérôme; Merlevède, Florence; Rio, Emmanuel Rates of convergence for minimal distances in the central limit theorem under projective criteria. (English) Zbl 1191.60025 Electron. J. Probab. 14, 978-1011 (2009). Summary: We give estimates of ideal or minimal distances between the distribution of the normalized partial sum and the limiting Gaussian distribution for stationary martingale difference sequences or stationary sequences satisfying projective criteria. Applications to functions of linear processes and to functions of expanding maps of the interval are given. Cited in 15 Documents MSC: 60F05 Central limit and other weak theorems Keywords:minimal and ideal distances; rates of convergence; martingale difference sequences; stationary sequences; projective criteria; weak dependence; uniform mixing PDFBibTeX XMLCite \textit{J. Dedecker} et al., Electron. J. Probab. 14, 978--1011 (2009; Zbl 1191.60025) Full Text: DOI arXiv EuDML EMIS