A note on complete moment convergence for coordinatewise negatively associated random vectors in Hilbert spaces

Mi-Hwa Ko

Communications in Statistics - Theory and Methods, 2020, vol. 49, issue 7, 1780-1791

Abstract: Let {Xn,n≥1} be coordinatewise negatively associated random vectors taking values in real separable Hilbert space. In this note we prove the convergence of ∑n=1∞n−1−αE(max1≤k≤n||Sk||−ϵnα)+ and ∑n=1∞n−1−α log nE(max1≤k≤n||Sk||−ϵnα)+, where Sk=X1+⋯+Xk.The present investigation provides the complete moment convergence for the case αr=1 and generalizes some results in Huan (2015).

Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/03610926.2019.1565833 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:49:y:2020:i:7:p:1780-1791

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/lsta20

DOI: 10.1080/03610926.2019.1565833

Access Statistics for this article

Communications in Statistics - Theory and Methods is currently edited by Debbie Iscoe

More articles in Communications in Statistics - Theory and Methods from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().