Bagro, S. V. Some probabilistic inequalities and the central limit theorem in function spaces. (English. Russian original) Zbl 0788.60010 Theory Probab. Math. Stat. 1992, 7-13 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 8-16 (1991). See the review in Zbl 0748.60005. MSC: 60B12 Limit theorems for vector-valued random variables (infinite-dimensional case) 60E15 Inequalities; stochastic orderings 60F05 Central limit and other weak theorems Keywords:independent vector-valued random variables; estimates of the norm; Orlicz space; central limit theorem Citations:Zbl 0748.60005 PDFBibTeX XMLCite \textit{S. V. Bagro}, Theory Probab. Math. Stat. 1992, 7--13 (1991; Zbl 0788.60010); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 8--16 (1991)