Convergence Rates for Sums of Non-identically Distributed Random Elements
Received:August 14, 1998  
Key Words: convergence rate   B-valued random element   partial sum   space of type p.  
Fund Project:Supported by the Science Fund of Tongji University
Author NameAffiliation
LIANG Han-ying Dept. of Appl. Math.
Tongji University
Shanghai
China 
REN Yao-feng Dept. of Math.
The Naval Acad. Inst. of Eng. of China
Wuhan
China 
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Abstract:
      Under some conditions on probability, we discuss the results in [1] for the part r > 1, which Yang had not solved, such that the convergence rates are solved thoroughly in this case. Obviously our conditions are weaker than Yang's corresponding moment conditions. Meanwhile, Banach spaces of type p(1 < p ≤2) are characterized. For 0
Citation:
DOI:10.3770/j.issn:1000-341X.2001.03.007
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