Nourdin, Ivan; Peccati, Giovanni Fourth moments and products: unified estimates. (English) Zbl 1378.60094 Carlen, Eric (ed.) et al., Convexity and concentration. New York, NY: Springer (ISBN 978-1-4939-7004-9/hbk; 978-1-4939-7005-6/ebook). The IMA Volumes in Mathematics and its Applications 161, 285-295 (2017). MSC: 60H25 60F05 60J35 60J60 60G15 PDFBibTeX XMLCite \textit{I. Nourdin} and \textit{G. Peccati}, IMA Vol. Math. Appl. 161, 285--295 (2017; Zbl 1378.60094) Full Text: DOI
Malicet, Dominique; Nourdin, Ivan; Peccati, Giovanni; Poly, Guillaume Squared chaotic random variables: new moment inequalities with applications. (English) Zbl 1355.60013 J. Funct. Anal. 270, No. 2, 649-670 (2016). Reviewer: Mohsen Kian (University of Bojnord) MSC: 60B99 60G15 15A15 PDFBibTeX XMLCite \textit{D. Malicet} et al., J. Funct. Anal. 270, No. 2, 649--670 (2016; Zbl 1355.60013) Full Text: DOI arXiv
Biermé, Hermine; Bonami, Aline; Nourdin, Ivan; Peccati, Giovanni Optimal Berry-Esseen rates on the Wiener space: the barrier of third and fourth cumulants. (English) Zbl 1277.60046 ALEA, Lat. Am. J. Probab. Math. Stat. 9, No. 2, 473-500 (2012). MSC: 60F05 62E17 60G15 60H05 PDFBibTeX XMLCite \textit{H. Biermé} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 9, No. 2, 473--500 (2012; Zbl 1277.60046) Full Text: arXiv Link
Breton, Jean-Christophe; Nourdin, Ivan; Peccati, Giovanni Exact confidence intervals for the Hurst parameter of a fractional Brownian motion. (English) Zbl 1326.62065 Electron. J. Stat. 3, 416-425 (2009). MSC: 62F25 60G15 60F05 60H07 60G22 PDFBibTeX XMLCite \textit{J.-C. Breton} et al., Electron. J. Stat. 3, 416--425 (2009; Zbl 1326.62065) Full Text: DOI arXiv Euclid
Nourdin, Ivan; Peccati, Giovanni; Reinert, Gesine Second order Poincaré inequalities and CLTs on Wiener space. (English) Zbl 1186.60047 J. Funct. Anal. 257, No. 2, 593-609 (2009). Reviewer: Nicolas Privault (Hong Kong) MSC: 60H07 60F05 60E15 PDFBibTeX XMLCite \textit{I. Nourdin} et al., J. Funct. Anal. 257, No. 2, 593--609 (2009; Zbl 1186.60047) Full Text: DOI arXiv