Cranston, Michael Craig; Molchanov, Stanislav Alekseevich On a concentration inequality for sums of independent isotropic vectors. (English) Zbl 1260.60028 Electron. Commun. Probab. 17, Paper No. 27, 8 p. (2012). Authors’ abstract: We consider a version of a classical concentration inequality for sums of independent isotropic random vectors with a mild restriction on the distribution of the radial part of these vectors. The proof uses a little Fourier analysis, the Laplace asymptotic method and a conditioning idea that traces its roots to some of the original works on concentration inequalities. Reviewer: Wiesław Dziubdziela (Kielce) Cited in 1 Document MSC: 60E15 Inequalities; stochastic orderings 60F05 Central limit and other weak theorems Keywords:concentration inequality; isotropy × Cite Format Result Cite Review PDF Full Text: DOI