EQUIVALENT CONDITIONS OF COMPLETE CONVERGENCE FOR INDEPENDENT WEIGHTED SUMS

Authors
WANG YB LIU XG SU C
Citation
Yb. Wang et al., EQUIVALENT CONDITIONS OF COMPLETE CONVERGENCE FOR INDEPENDENT WEIGHTED SUMS, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 41(9), 1998, pp. 939-949
Citations number
13
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences → ACNP
ISSN journal
10016511
Volume
41
Issue
9
Year of publication
1998
Pages
939 - 949
Database
ISI
SICI code
1001-6511(1998)41:9<939:ECOCCF>2.0.ZU;2-G
Abstract
For a very general weight function, the equivalent renditions of compl ete convergence for weighted sums of independent but not necessary ide ntically distributed random variables are given. The previous situatio n of only sufficient results except for particular weight functions is changed. These results may help deduce many known ones and bring to l ight richer content.