Pollard, David Maximal inequalities via bracketing with adaptive truncation. (English) Zbl 1019.60015 Ann. Inst. Henri Poincaré, Probab. Stat. 38, No. 6, 1039-1052 (2002). A recursive interpretation for the technique (bracketing with adaptive truncation) is provided. A simple bound is derived for the expected value of the supremum of an empirical process. This leads to a simpler derivation of a functional central limit theorem under less number of assumptions about processes and functionals indexed by sets of functions. Reviewer: V.Thangaraj (Chennai) Cited in 3 Documents MSC: 60E15 Inequalities; stochastic orderings 60G07 General theory of stochastic processes 60F17 Functional limit theorems; invariance principles Keywords:bracketing; adaptive truncation; empirical process; functional central limit theorem PDFBibTeX XMLCite \textit{D. Pollard}, Ann. Inst. Henri Poincaré, Probab. Stat. 38, No. 6, 1039--1052 (2002; Zbl 1019.60015) Full Text: DOI Numdam EuDML