The complete moment convergence for CNA random vectors in Hilbert spaces

[摘要] In this paper we establish the complete moment convergence for sequences of coordinatewise negatively associated random vectors in Hilbert spaces. The result extends the complete moment convergence in (Ko in J. Inequal. Appl. 2016:131, 2016) to Hilbert spaces as well as generalizes the Baum-Katz type theorem in (Huan et al. in Acta Math. Hung. 144(1):132-149, 2014) to the complete moment convergence.

[学科分类] 数学（综合）

[关键词] complete moment convergence;negative association;coordinatewise negatively associated random vectors;Hilbert spaces;60F15