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| A General Law of Precise Asymptotics for the Complete Moment Convergence |
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Citation： |
Yong ZHANG,Xiaoyun YANG,Zhishan DONG.A General Law of Precise Asymptotics for the Complete Moment Convergence[J].Chinese Annals of Mathematics B,2009,(1):77~90 |
| Page view： 2751
Net amount： 2898 |
Authors： |
Yong ZHANG; Xiaoyun YANG; Zhishan DONG; |
Foundation： |
the National Natural Science Foundation of China (No. 10571073) and the 985
Program of Jilin University. |
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| Abstract： |
The authors achieve a general law of precise asymptotics for a new kind of
complete moment convergence of i.i.d. random variables, which includes complete convergence
as a special case. It can describe the relations among the boundary function,
weighted function, convergence rate and limit value in studies of complete convergence.
This extends and generalizes the corresponding results of Liu and Lin in 2006. |
Keywords： |
Complete moment convergence, General law, Precise asymptotics |
Classification： |
60F15, 60G50 |
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