Some discussion on the conditions of complete convergence for sums of \(B\)-valued random elements (Q2721923)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Some discussion on the conditions of complete convergence for sums of \(B\)-valued random elements |
scientific article; zbMATH DE number 1616964
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some discussion on the conditions of complete convergence for sums of \(B\)-valued random elements |
scientific article; zbMATH DE number 1616964 |
Statements
11 July 2001
0 references
complete convergence
0 references
\(B\)-valued random element
0 references
type \(p\)-space
0 references
Some discussion on the conditions of complete convergence for sums of \(B\)-valued random elements (English)
0 references
This paper discusses the conditions of complete convergence for partial sums and randomly indexed partial sums of independent but not necessarily identically distributed random elements in Banach spaces of type \(p\). The main purpose of this note is to extend the results of \textit{Yu} [Chin. J. Appl. Probab. Stat. 5, No. 2, 105-115 (1989)] to the \(B\)-valued case, and to obtain the characterization for Banach spaces of type \(p\) in terms of the complete convergence of zero mean \(B\)-valued independent random elements.
0 references
