Abstract
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.
Highlights
Ko et al [ ] introduced the concept of negative association (NA) for Rd-valued random vectors
In the case d =, the concept of negative association had already been introduced by Alam and Saxena [ ] and carefully studied by Joag-Dev and Proschan [ ]
In this paper we show the complete moment convergence for coordinatewise negatively associated (CNA) random vectors in Hilbert spaces
Summary
Ko et al [ ] introduced the concept of negative association (NA) for Rd-valued random vectors. Huan et al [ ] showed Baum-Katz type theorems for CNA random vectors in Hilbert spaces and Huan [ ] obtained the complete convergence for H-valued CNA In this paper we show the complete moment convergence for CNA random vectors in Hilbert spaces.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
