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Precise rates in the law of the logarithm for the moment convergence in Hilbert spaces

โœ Scribed by Ke Ang Fu; Li Xin Zhang


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2009
Tongue
English
Weight
291 KB
Volume
25
Category
Article
ISSN
1439-7617

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Precise rates in the law of logarithm fo
โœ Tian-Xiao Pang; Zheng-Yan Lin ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 559 KB

## Let {x,x~ ; n >\\_ 1} be a sequence of i.i.d, random variables. Set Sn = X1 + X2 + โ€ข .. +Xn and M,~ = maxk 1. By using the strong approximation method, we obtain that for any -1 if and only if EX = 0 and EX 2 < oo, which strengthen and extend the result of Gut and Sp~taru [1], where N is the stan