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Convergence rates in the law of logarithm of random elements

✍ Scribed by Liang Hanying; Su Chun; Wang Yuebao

Book ID
110611703
Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2001
Tongue
English
Weight
426 KB
Volume
17
Category
Article
ISSN
0168-9673

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Precise rates in the law of logarithm fo
Precise rates in the law of logarithm for i.i.d. random variables
✍ Tian-Xiao Pang; Zheng-Yan Lin πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 559 KB

## Let {x,x~ ; n >\\_ 1} be a sequence of i.i.d, random variables. Set Sn = X1 + X2 + β€’ .. +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