Dedecker, Jérôme; Merlevède, Florence Almost sure invariance principle for the Kantorovich distance between the empirical and the marginal distributions of strong mixing sequences. (English) Zbl 1457.60051 Stat. Probab. Lett. 171, Article ID 108991, 9 p. (2021). MSC: 60F17 60F15 60G10 60B12 PDFBibTeX XMLCite \textit{J. Dedecker} and \textit{F. Merlevède}, Stat. Probab. Lett. 171, Article ID 108991, 9 p. (2021; Zbl 1457.60051) Full Text: DOI
Merlevède, Florence; Peligrad, Magda; Utev, Sergey Functional Gaussian approximation for dependent structures. (English) Zbl 1447.60003 Oxford Studies in Probability 6. Oxford: Oxford University Press (ISBN 978-0-19-882694-1/hbk). xv, 478 p. (2019). Reviewer: Dominique Lépingle (Orléans) MSC: 60-02 60F05 60F15 60F17 60G42 60G44 PDFBibTeX XMLCite \textit{F. Merlevède} et al., Functional Gaussian approximation for dependent structures. Oxford: Oxford University Press (2019; Zbl 1447.60003) Full Text: DOI
Dedecker, Jérôme; Merlevède, Florence Behavior of the Wasserstein distance between the empirical and the marginal distributions of stationary \(\alpha\)-dependent sequences. (English) Zbl 1392.60007 Bernoulli 23, No. 3, 2083-2127 (2017). MSC: 60B10 60F05 60F17 PDFBibTeX XMLCite \textit{J. Dedecker} and \textit{F. Merlevède}, Bernoulli 23, No. 3, 2083--2127 (2017; Zbl 1392.60007) Full Text: DOI arXiv
Dedecker, J.; Merlevède, F. Moment bounds for dependent sequences in smooth Banach spaces. (English) Zbl 1318.60028 Stochastic Processes Appl. 125, No. 9, 3401-3429 (2015). MSC: 60E15 60G48 37E05 PDFBibTeX XMLCite \textit{J. Dedecker} and \textit{F. Merlevède}, Stochastic Processes Appl. 125, No. 9, 3401--3429 (2015; Zbl 1318.60028) Full Text: DOI arXiv
Dedecker, Jérôme; Rio, Emmanuel; Merlevède, Florence Strong approximation of the empirical distribution function for absolutely regular sequences in \({\mathbb R}^d\). (English) Zbl 1293.60043 Electron. J. Probab. 19, Paper No. 9, 56 p. (2014). Reviewer: Ken-ichi Yoshihara (Yokohama) MSC: 60F17 60G10 PDFBibTeX XMLCite \textit{J. Dedecker} et al., Electron. J. Probab. 19, Paper No. 9, 56 p. (2014; Zbl 1293.60043) Full Text: DOI
Dedecker, Jérôme; Merlevède, Florence; Pène, Françoise Empirical central limit theorems for ergodic automorphisms of the torus. (English) Zbl 1277.37063 ALEA, Lat. Am. J. Probab. Math. Stat. 10, No. 2, 731-766 (2013). MSC: 37D30 60F17 PDFBibTeX XMLCite \textit{J. Dedecker} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 10, No. 2, 731--766 (2013; Zbl 1277.37063) Full Text: arXiv Link
Dedecker, Jérôme; Merlevède, Florence The empirical distribution function for dependent variables: asymptotic and nonasymptotic results in \({\mathbb L}^p\). (English) Zbl 1184.60008 ESAIM, Probab. Stat. 11, 102-114 (2007). MSC: 60F10 62G30 60F05 PDFBibTeX XMLCite \textit{J. Dedecker} and \textit{F. Merlevède}, ESAIM, Probab. Stat. 11, 102--114 (2007; Zbl 1184.60008) Full Text: DOI Numdam EuDML
Merlevède, Florence; Peligrad, Magda On the coupling of dependent random variables and applications. (English) Zbl 1038.60021 Dehling, Herold (ed.) et al., Empirical process techniques for dependent data. Boston, MA: Birkhäuser (ISBN 0-8176-4201-3/hbk). 171-193 (2002). Reviewer: Herold Dehling (Bochum) MSC: 60F17 60F15 60F05 PDFBibTeX XMLCite \textit{F. Merlevède} and \textit{M. Peligrad}, in: Empirical process techniques for dependent data. Boston, MA: Birkhäuser. 171--193 (2002; Zbl 1038.60021)