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Complete convergence in mean for double arrays of random variables with values in Banach spaces.
- Source :
-
Applications of Mathematics . Apr2014, Vol. 59 Issue 2, p177-190. 14p. - Publication Year :
- 2014
-
Abstract
- The rate of moment convergence of sample sums was investigated by Chow (1988) (in case of real-valued random variables). In 2006, Rosalsky et al. introduced and investigated this concept for case random variable with Banach-valued (called complete convergence in mean of order p). In this paper, we give some new results of complete convergence in mean of order p and its applications to strong laws of large numbers for double arrays of random variables taking values in Banach spaces. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08627940
- Volume :
- 59
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Applications of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 95275299
- Full Text :
- https://doi.org/10.1007/s10492-014-0048-4