Equivalent conditions of complete convergence for m-dimensional products of iid random variables and application to strong law of large numbers

Authors
Wang, YB Su, C Liang, HY Cheng, FY
Citation
Yb. Wang et al., Equivalent conditions of complete convergence for m-dimensional products of iid random variables and application to strong law of large numbers, SCI CHINA A, 43(11), 2000, pp. 1144-1153
Citations number
13
Categorie Soggetti
Multidisciplinary
Journal title
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN journal
10016511 → ACNP
Volume
43
Issue
11
Year of publication
2000
Pages
1144 - 1153
Database
ISI
SICI code
1001-6511(200011)43:11<1144:ECOCCF>2.0.ZU;2-Z
Abstract
Under very weak condition 0 < r(t) <up arrow> infinity, t --> infinity, we obtain a series of equivalent conditions of complete convergence for maxima of m-dimensional products of lid random variables, which provide a useful tool for researching this class of questions. Some results on strong law of large numbers are given such that our results are much stronger than the c orresponding result of Gadidov's.